Author: benny

Arithmetic \;  Mean=\frac{Sum \;  of  \; Data}{Number \;  of \;  Data}

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benny varghese
pgt mathematics
jnv pathanamthitta

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Start the Machine

bentech

Stop the Machine

Refresh

Oberve Carefully plz...
Can you GUESS the formula for
computing Arithmetic Mean?

Set the desired values using 9 sliders given 
above and “choose” the data as you please
Then click the button :“Start the Machine” 

Class 9-Statistics
Mean Machine

z = 21 (slider from 0 to 50, step 1)
i: true
s = 19 (slider from 0 to 50, step 1)
h: true
r = 34 (slider from 0 to 50, step 1)
g: true
q = 29 (slider from 0 to 50, step 1)
f: true
p = 28 (slider from 0 to 50, step 1)
e: true
n = 30 (slider from 0 to 50, step 1)
d: false
w = 38 (slider from 0 to 50, step 1)
c: false
u = 46 (slider from 0 to 50, step 1)
b: false
v = 22 (slider from 0 to 50, step 1)
a: false
α = If(a, v, "")
β = If(b, u, "")
γ = If(c, w, "")
δ = If(d, n)
ε = If(e, p, "")
ζ = If(f, q, "")
η = If(g, r, "")
θ = If(h, s, "")
κ = If(i, z, "")
list1: {α, β, γ, δ, ε, ζ, η, θ, κ}
list2 = RemoveUndefined(list1)
sum = Sum(list2)
numberel = CountIf(x ∈ list2, list2)
alpha = 2
t: sum / numberel
text5: "Number \;  of \;  Data =" + (LaTeX[numberel]) + ""
el1 = Element(list2, 1)
el2 = Element(list2, 2)
el3 = Element(list2, 3)
el4 = Element(list2, 4)
el5 = Element(list2, 5)
el6 = Element(list2, 6)
el7 = Element(list2, 7)
el8 = Element(list2, 8)
el9 = Element(list2, 9)
o = Sum(list2, numberel)
Z = (-7.645, 15.175)
text4: "Selected \;  \;  Data=" + (LaTeX[list2]) + ""
th: (t * h)
j_1: (4 * th) = Element[list2, 4]
D = (-6, 8)
B = (-6.7, -4.265)
τ: 0°
A = (-7.445, 3.845)
C = (-14.825, 2.36)
k = Circle(A, C)
G = (-0.31, 2.26)
H = (-4.045, 0.055)
I = (2.165, 0.01)
J = (7.79, 2.17)
K = (0.005, 10.615)
s_2: el1 + el2
s_3: el1 + el2 + el3
s_4: el1 + el2 + el3 + el4
s_5: el1 + el2 + el3 + el4 + el5
s_6: el1 + el2 + el3 + el4 + el5 + el6
s_7: el1 + el2 + el3 + el4 + el5 + el6 + el7
s_8: el1 + el2 + el3 + el4 + el5 + el6 + el7 + el8
s_9: el1 + el2 + el3 + el4 + el5 + el6 + el7 + el8 + el9
m2: s_2 / 2
m3: s_3 / 3
m4: s_4 / 4
m5: s_5 / 5
m6: s_6 / 6
m7: s_7 / 7
m8: s_8 / 8
m9: s_9 / 9
M = (-4.63, 10.585)
N = (5.495, 5.77)
O = (2.435, 4.24)
R = (-7.51, -5.03)
s_1 = Circle(S, T)
U = Point(s_1)
U' = Rotate(U, 120°, S)
υ = Angle(U, S, U')
U'' = Rotate(U', 120°, S)
ϕ = Angle(U', S, U'')
j = Segment(S, U'')
t_1 = Segment(U, S)
a_2 = Segment(U, S)
c_2 = Segment(S, U')
V = Point(k)
W = Point(s_1)
B_1 = Point(k)
C_1 = Point(s_1)
F_1 = (-14.89, 4.375)
G_1 = (-10.93, 5.725)
H_1 = (-4.09, -0.935)
K_1 = (4.865, 4.285)
L_1 = (5.54, 4.69)
I_1 = (1.22, 4.51)
J_1 = (4.73, 4.15)
M_1 = (5.45, 4.96)
O_1 = (2.39, 6.94)
P_1 = (2.255, 10.9)
R_1 = (-14.98, 6.94)
S_1 = (-13.72, -2.015)
T_1 = (-6.52, -2.6)
U_1 = (-6.835, -4.94)
N_1 = (10.58, 3.25)
W_1 = (10.67, 4.42)
Z_1 = (8.825, 6.175)
A_2 = (10.67, 8.875)
B_2 = (3.74, 11.845)
C_2 = (-0.625, 11.89)
D_2 = (3.335, 7.345)
E_2 = (2.795, -2.15)
F_2 = (-3.01, 5.455)
G_2 = (-10.975, 6.085)
H_2 = (-1.615, -5.84)
I_2 = (7.97, 0.055)
J_2 = (8.285, 4.06)
poly2, n_1, w_1, z_1, a_3, b_3, c_3, d_3, e_2, f_2, g_3, h_2, i_2, j_3 = Polygon(N_1, W_1, Z_1, A_2, B_2, C_2, D_2, E_2, F_2, G_2, H_2, I_2, J_2)
L = (0.545, 4.24)
P = (5.36, 4.03)
V_1 = (8.105, 1.375)
K_2 = Point(i_2)
poly1, l_1, p_1, v_1, k_2 = Polygon(L, P, V_1, K_2)
stroke1 = AttachCopyToView(PolyLine[(2.0300000000000282, -0.34999999999999765), (2.0300000000000282, -0.574999999999998), (2.0300000000000282, -0.8449999999999983), (2.1200000000000285, -1.1149999999999987), (2.165000000000029, -1.2949999999999988), (2.210000000000029, -1.429999999999999), (2.210000000000029, -1.6099999999999994), (2.210000000000029, -1.7899999999999996), (2.210000000000029, -2.0149999999999997), (2.210000000000029, -2.24), (2.210000000000029, -2.5550000000000006), (2.210000000000029, -2.7800000000000007), (2.210000000000029, -3.0050000000000012), (2.210000000000029, -3.1850000000000014), (2.165000000000029, -3.3650000000000015), (2.0300000000000282, -3.545000000000002), (1.8950000000000282, -3.680000000000002), (1.760000000000028, -3.7250000000000023), (1.6250000000000275, -3.7700000000000022), (1.4450000000000274, -3.7700000000000022), (1.265000000000027, -3.7700000000000022), (1.0850000000000266, -3.7700000000000022), (0.9050000000000262, -3.7700000000000022), (0.8600000000000262, -3.9050000000000025), (0.7250000000000258, -4.085000000000003), (0.6800000000000258, -4.220000000000002), (0.5450000000000255, -4.355000000000003), (0.45500000000002533, -4.490000000000003), (0.36500000000002514, -4.6250000000000036), (0.275000000000025, -4.805000000000003), (0.2300000000000249, -4.940000000000004), (0.14000000000002472, -5.075000000000004), (0.005000000000024453, -5.120000000000004), (-0.1749999999999759, -5.120000000000004), (-0.3099999999999762, -5.030000000000004), (-0.4899999999999765, -4.940000000000004), (-0.6249999999999768, -4.895000000000004), (-0.759999999999977, -4.850000000000004), (-0.9849999999999774, -4.850000000000004), (-1.0749999999999778, -4.985000000000004), (-1.209999999999978, -5.1650000000000045), (-1.3449999999999782, -5.300000000000004), (-1.4799999999999784, -5.345000000000004), (-1.6149999999999787, -5.390000000000004), (-1.749999999999979, -5.435000000000005), (-1.9299999999999793, -5.435000000000005), (-2.10999999999998, -5.435000000000005), (-2.28999999999998, -5.435000000000005), (-2.5149999999999806, -5.435000000000005), (-2.649999999999981, -5.345000000000004), (-2.784999999999981, -5.255000000000004), (-2.964999999999981, -5.1650000000000045), (-3.0999999999999814, -4.985000000000004), (-3.1899999999999817, -4.805000000000003), (-3.279999999999982, -4.6700000000000035), (-3.4149999999999823, -4.580000000000004), (-3.639999999999983, -4.535000000000004), (-3.774999999999983, -4.490000000000003), (-3.954999999999983, -4.445000000000003), (-4.089999999999984, -4.400000000000003), (-4.179999999999984, -4.265000000000003), (-4.269999999999984, -4.130000000000003), true], 1, (-23.350000000000023, -6.650000000000007), (37.5800000000001, 18.685000000000027), (186.00000000000009, 552), (1540, -10.999999999999986))
stroke2 = AttachCopyToView(PolyLine[(1.9850000000000283, -0.34999999999999765), (1.9850000000000283, -0.5299999999999979), (1.9850000000000283, -0.7099999999999981), (1.9850000000000283, -0.8899999999999983), (2.0300000000000282, -1.0249999999999986), (2.1200000000000285, -1.1599999999999988), (2.165000000000029, -1.2949999999999988), (2.210000000000029, -1.429999999999999), (2.210000000000029, -1.6099999999999994), (2.210000000000029, -1.7899999999999996), (2.210000000000029, -1.9699999999999998), (2.210000000000029, -2.1950000000000003), (2.210000000000029, -2.3750000000000004), (2.210000000000029, -2.6000000000000005), (2.210000000000029, -2.7800000000000007), (2.210000000000029, -2.9600000000000013), (2.210000000000029, -3.1400000000000015), (2.165000000000029, -3.2750000000000017), (2.0750000000000286, -3.410000000000002), (1.9400000000000284, -3.5000000000000018), (1.760000000000028, -3.5000000000000018), (1.6250000000000275, -3.545000000000002), (1.4900000000000273, -3.635000000000002), (1.265000000000027, -3.635000000000002), (1.1300000000000268, -3.680000000000002), (0.9950000000000264, -3.7250000000000023), (0.8600000000000262, -3.7700000000000022), (0.815000000000026, -3.9050000000000025), (0.7250000000000258, -4.040000000000003), (0.6800000000000258, -4.1750000000000025), (0.6800000000000258, -4.355000000000003), (0.5450000000000255, -4.400000000000003), (0.41000000000002523, -4.490000000000003), (0.275000000000025, -4.6250000000000036), (0.09500000000002463, -4.760000000000003), (0.05000000000002454, -4.895000000000004), (-0.08499999999997572, -4.985000000000004), (-0.219999999999976, -5.030000000000004), (-0.3549999999999763, -5.120000000000004), (-0.5349999999999766, -5.120000000000004), (-0.714999999999977, -5.120000000000004), (-0.8499999999999772, -5.075000000000004), (-1.0299999999999776, -5.075000000000004), (-1.209999999999978, -5.120000000000004), (-1.3449999999999782, -5.255000000000004), (-1.4799999999999784, -5.345000000000004), (-1.704999999999979, -5.345000000000004), (-1.9299999999999793, -5.390000000000004), (-2.10999999999998, -5.390000000000004), (-2.28999999999998, -5.390000000000004), (-2.46999999999998, -5.390000000000004), (-2.649999999999981, -5.390000000000004), (-2.784999999999981, -5.345000000000004), (-2.829999999999981, -5.210000000000004), (-2.9199999999999813, -5.075000000000004), (-3.0549999999999815, -4.895000000000004), (-3.1899999999999817, -4.805000000000003), (-3.324999999999982, -4.715000000000003), (-3.459999999999982, -4.6700000000000035), (-3.639999999999983, -4.6250000000000036), (-3.819999999999983, -4.580000000000004), (-3.954999999999983, -4.490000000000003), (-4.044999999999984, -4.355000000000003), (-4.134999999999984, -4.220000000000002), true], 1, (-23.350000000000023, -6.650000000000007), (37.5800000000001, 18.685000000000027), (185.99999999999994, 548), (1540, -14.999999999999995))
text23: "" + (LaTeX[el6]) + ""
C' = Rotate(C, (-τ), A)
C'' = Rotate(C', 30°, A)
ι = Angle(C', A, C'')
E = (-7.42, 3.79)
C''' = Rotate(C'', 30°, E)
λ = Angle(C'', E, C''')
F = Rotate(C''', 30°, E)
μ = Angle(C''', E, F)
F' = Rotate(F, 30°, E)
ν = Angle(F, E, F')
F'' = Rotate(F', 30°, E)
ξ = Angle(F', E, F'')
F''' = Rotate(F'', 30°, E)
ο = Angle(F'', E, F''')
A_1 = Rotate(F''', 30°, E)
ρ = Angle(F''', E, A_1)
L_2 = Rotate(A_1, 30°, E)
σ = Angle(A_1, E, L_2)
M_2 = Rotate(L_2, 30°, E)
χ = Angle(L_2, E, M_2)
N_2 = Rotate(M_2, 30°, E)
ψ = Angle(M_2, E, N_2)
O_2 = Rotate(N_2, 30°, E)
ω = Angle(N_2, E, O_2)
l = Segment(A, C')
P_2 = Point(l)
m = Segment(O_2, P_2)
a_1 = Segment(N_2, P_2)
b_1 = Segment(M_2, P_2)
c_1 = Segment(C'', P_2)
d_1 = Segment(C''', P_2)
e_1 = Segment(P_2, F)
f_1 = Segment(P_2, F'')
g_1 = Segment(P_2, L_2)
h_1 = Segment(P_2, A_1)
i_1 = Segment(P_2, F''')
k_1 = Segment(P_2, F')
Max: (((numberel + 3) * 30))°
Q_2 = (-28.165, 12.385)
R_2 = (33.26, 9.685)
S_2 = (23.81, 9.055)
T' = Rotate(T, (-τ), S)
Q = (-25.465, 10.63)
T_2 = (26.105, 15.31)
n_2 = Line(Q, T_2)
m_1 = Ray(E, M_2)
q_1 = Ray(E, N_2)
U_2 = Intersect(n_2, m_1)
V_2 = Intersect(n_2, q_1)
r_1 = Ray(E, O_2)
g_2 = Ray(E, C')
j_2 = Ray(E, C'')
l_2 = Ray(E, C''')
m_2 = Ray(E, F)
p_2 = Ray(E, F')
q_2 = Ray(E, F'')
W_2 = Intersect(n_2, r_1)
Z_2 = Intersect(g_2, n_2)
A_3 = Intersect(j_2, n_2)
B_3 = Intersect(l_2, n_2)
C_3 = Intersect(m_2, n_2)
D_3 = Intersect(p_2, n_2)
E_3 = Intersect(q_2, n_2)
text13: "" + (LaTeX[el2]) + ""
text14: "" + (LaTeX[el3]) + ""
text17: "" + (LaTeX[el4]) + ""
text20: "" + (LaTeX[el5]) + ""
text21: "" + (LaTeX[el6]) + ""
text24: "" + (LaTeX[el7]) + ""
text25: "" + (LaTeX[el8]) + ""
text26: "" + (LaTeX[el9]) + ""
D_1 = (-23.62, 12.295)
E_1 = (-23.62, 10.225)
Q_1 = (-24.16, 10.675)
d_2 = Ellipse(D_1, E_1, Q_1)
F_3 = (-25.555, 12.97)
G_3 = (-25.51, 10.135)
H_3 = Point(d_2)
I_3 = Point(d_2)
J_3 = (-25.555, 12.61)
K_3 = (-25.555, 10)
b_2 = Segment(J_3, H_3)
r_2 = Segment(I_3, K_3)
t_2 = Segment(J_3, K_3)
stroke3 = AttachCopyToView(PolyLine[(-25.195000000000025, 12.250000000000027), (-25.060000000000024, 12.115000000000027), (-24.970000000000024, 11.935000000000027), (-24.880000000000024, 11.755000000000026), (-24.790000000000024, 11.575000000000026), (-24.700000000000024, 11.440000000000026), (-24.610000000000024, 11.305000000000026), (-24.565000000000023, 11.125000000000025), (-24.520000000000024, 10.990000000000025), (-24.430000000000025, 10.855000000000025), (-24.340000000000025, 10.720000000000026), (NaN, NaN), (-24.835000000000026, 12.340000000000027), (-24.790000000000024, 12.160000000000027), (-24.610000000000024, 11.800000000000026), (-24.520000000000024, 11.620000000000026), (-24.385000000000023, 11.395000000000026), (-24.340000000000025, 11.260000000000026), (-24.250000000000025, 11.125000000000025), (NaN, NaN), (-24.475000000000023, 12.250000000000027), (-24.430000000000025, 12.115000000000027), (-24.385000000000023, 11.980000000000027), (-24.340000000000025, 11.845000000000027), (NaN, NaN), (-25.465000000000025, 11.890000000000027), (-25.285000000000025, 11.845000000000027), (-25.150000000000023, 11.755000000000026), (-25.015000000000025, 11.530000000000026), (-24.925000000000026, 11.395000000000026), (-24.835000000000026, 11.260000000000026), (-24.745000000000026, 11.125000000000025), (-24.655000000000022, 10.945000000000025), (-24.565000000000023, 10.810000000000025), (-24.520000000000024, 10.675000000000026), (-24.475000000000023, 10.540000000000024), (-24.430000000000025, 10.405000000000024), (NaN, NaN), (-25.330000000000027, 11.215000000000027), (-25.105000000000025, 11.080000000000025), (-24.925000000000026, 10.855000000000025), (-24.700000000000024, 10.765000000000025), (-24.655000000000022, 10.630000000000026), (-24.610000000000024, 10.495000000000024), (NaN, NaN), (-25.330000000000027, 10.540000000000024), (-25.060000000000024, 10.495000000000024), (-24.880000000000024, 10.405000000000024), (-24.745000000000026, 10.315000000000024), (NaN, NaN), (-24.790000000000024, 12.295000000000027), (-24.655000000000022, 12.025000000000027), (-24.565000000000023, 11.800000000000026), (-24.475000000000023, 11.575000000000026), (-24.340000000000025, 11.440000000000026), (NaN, NaN), (-24.925000000000026, 12.430000000000028), (-25.015000000000025, 12.205000000000027), (-25.105000000000025, 12.025000000000027), (-25.195000000000025, 11.890000000000027), (-25.285000000000025, 11.755000000000026), (-25.330000000000027, 11.620000000000026), (-25.375000000000025, 11.440000000000026), (NaN, NaN), (-24.520000000000024, 12.340000000000027), (-24.700000000000024, 12.025000000000027), (-24.835000000000026, 11.755000000000026), (-24.970000000000024, 11.575000000000026), (-25.060000000000024, 11.440000000000026), (-25.150000000000023, 11.260000000000026), (-25.240000000000027, 11.080000000000025), (-25.330000000000027, 10.945000000000025), (-25.420000000000027, 10.765000000000025), (NaN, NaN), (-24.340000000000025, 11.980000000000027), (-24.385000000000023, 11.845000000000027), (-24.475000000000023, 11.710000000000026), (-24.610000000000024, 11.440000000000026), (-24.745000000000026, 11.215000000000027), (-24.880000000000024, 10.810000000000025), (-24.970000000000024, 10.585000000000024), (-25.105000000000025, 10.360000000000024), (-25.150000000000023, 10.225000000000025), (-25.240000000000027, 10.090000000000025), (NaN, NaN), (-24.385000000000023, 10.900000000000025), (-24.565000000000023, 10.675000000000026), (-24.700000000000024, 10.450000000000024), (NaN, NaN), (-24.295000000000023, 10.405000000000024), (-24.385000000000023, 10.225000000000025), (NaN, NaN), (-24.655000000000022, 11.710000000000026), (-24.700000000000024, 11.440000000000026), (-24.790000000000024, 11.305000000000026), (-24.835000000000026, 11.125000000000025), (-24.925000000000026, 10.990000000000025), (-24.970000000000024, 10.855000000000025), (-25.015000000000025, 10.720000000000026), (-25.060000000000024, 10.585000000000024), (-25.105000000000025, 10.450000000000024), (NaN, NaN), (-25.240000000000027, 12.385000000000026), (-25.285000000000025, 12.205000000000027), (-25.330000000000027, 12.025000000000027), (-25.330000000000027, 11.845000000000027), (-25.330000000000027, 11.665000000000026), (-25.330000000000027, 11.395000000000026), (NaN, NaN), (-25.015000000000025, 12.205000000000027), (-25.060000000000024, 12.025000000000027), (-25.105000000000025, 11.800000000000026), (-25.105000000000025, 11.575000000000026), (-25.105000000000025, 11.260000000000026), (-25.150000000000023, 11.035000000000025), (-25.195000000000025, 10.810000000000025), (-25.240000000000027, 10.675000000000026), (-25.285000000000025, 10.540000000000024), (NaN, NaN), (-24.205000000000023, 12.340000000000027), (-24.250000000000025, 12.205000000000027), (-24.340000000000025, 12.070000000000027), (-24.430000000000025, 11.935000000000027), true], 1, (-25.735000000000028, -6.1999999999999975), (34.475000000000094, 18.415000000000035), (0, 547), (1338, 0))
L_3 = (-21.55, 9.28)
e_3 = Circle(L_3, 1)
M_3 = (-15.295, 9.64)
f_3 = Circle(M_3, 1)
N_3 = Point(e_3)
O_3 = Point(f_3)
P_3 = Rotate(N_3, (-15 * τ), L_3)
Q_3 = Rotate(O_3, (-15 * τ), M_3)
h_3 = Segment(L_3, P_3)
i_3 = Segment(M_3, Q_3)
R_3 = Rotate(N_3, 120°, L_3)
S_3 = Rotate(P_3, 120°, L_3)
α_1 = Angle(P_3, L_3, S_3)
T_3 = Rotate(S_3, 120°, L_3)
β_1 = Angle(S_3, L_3, T_3)
k_3 = Segment(L_3, S_3)
l_3 = Segment(L_3, T_3)
m_3 = Segment(Q_3, M_3)
U_3 = Rotate(Q_3, 120°, M_3)
γ_1 = Angle(Q_3, M_3, U_3)
V_3 = Rotate(U_3, 120°, M_3)
δ_1 = Angle(U_3, M_3, V_3)
n_3 = Segment(M_3, U_3)
p_3 = Segment(M_3, V_3)
W_3 = (-23.485, 9.19)
Z_3 = (-13.315, 9.775)
A_4 = (-16.69, 10.945)
q_3 = Ellipse(W_3, Z_3, A_4)
o_1 = Divisors(τ)
Factors(τ)
r_3 = Line(L_3, T_3)
D_4 = (-1.48, -5.21)
t_3 = Circle(D_4, 2)
E_4 = Point(k)
F_4 = Point(k)
G_4 = Point(t_3)
H_4 = Point(t_3)
a_4 = Segment(F_4, H_4)
b_4 = Segment(G_4, E_4)
I_4 = Point(t_3)
J_4 = Rotate(I_4, (-5 * τ), D_4)
c_4 = Segment(D_4, J_4)
K_4 = Rotate(J_4, 120°, D_4)
ε_1 = Angle(J_4, D_4, K_4)
L_4 = Rotate(K_4, 120°, D_4)
ζ_1 = Angle(K_4, D_4, L_4)
d_4 = Segment(D_4, L_4)
e_4 = Segment(D_4, K_4)
M_4 = (-23.305, 9.235)
N_4 = (-13.585, 9.73)
O_4 = (-16.24, 10.855)
f_4 = Ellipse(M_4, N_4, O_4)
rem: (Mod[τ, 2°] * 100)
text3: "" + (LaTeX[el1]) + ""
text33: " " + (LaTeX[el5]) + " "
text35: " " + (LaTeX[el7]) + " "
text36: " " + (LaTeX[el8]) + " "
text32: "" + (LaTeX[el4]) + " "
text15: "" + (LaTeX[el1]) + ""
text18: "" + (LaTeX[el2]) + ""
text22: "" + (LaTeX[el3]) + ""
text37: "" + (LaTeX[el9]) + ""
u_1 = If(el9 ≥ 0, el9, "")
o_2 = If(el9 ≥ 0, el9, "")
text6: "=  $\frac{" + (LaTeX[el1]) + "}{1}$
=  " + (LaTeX[el1]) + "   = Arithmetic Mean (A.M)"
text7: "=  $ \frac{" + (LaTeX[el1]) + "+" + (LaTeX[el2]) + "}{2} $
=  $\frac{" + (LaTeX[s_2]) + "}{2}$
=  " + (LaTeX[m2]) + "   = Arithmetic Mean (A.M)"
text8: "=  $\frac{" + (LaTeX[el1]) + "+" + (LaTeX[el2]) + "+" + (LaTeX[el3]) + "}{3}$
= $ \frac{" + (LaTeX[s_3]) + "}{3}$
=  " + (LaTeX[m3]) + "    = Arithmetic Mean (A.M)"
text1: "=  $ \frac{" + (LaTeX[el1]) + "+" + (LaTeX[el2]) + "+" + (LaTeX[el3]) + "+" + (LaTeX[el4]) + "}{4} $
=  $ \frac{" + (LaTeX[s_4]) + "}{4}$
=  $" + (LaTeX[m4]) + "$    = Arithmetic Mean (A.M)"
text2: "=  $\frac{" + (LaTeX[el1]) + "+" + (LaTeX[el2]) + "+" + (LaTeX[el3]) + "+" + (LaTeX[el4]) + "+" + (LaTeX[el5]) + "}{5}$
=  $\frac{" + (LaTeX[s_5]) + "}{5}$
=  $" + (LaTeX[m5]) + "$    =Arithmetic Mean (A.M)"
text9: "=  $ \frac{" + (LaTeX[el1]) + "+" + (LaTeX[el2]) + "+" + (LaTeX[el3]) + "+" + (LaTeX[el4]) + "+" + (LaTeX[el5]) + "+" + (LaTeX[el6]) + "}{6} $
=  $\frac{" + (LaTeX[s_6]) + "}{6}$
=  $" + (LaTeX[m6]) + " = Arithmetic \;  Mean (A.M)"
text10: "=  $ \frac{ " + (LaTeX[el1]) + "+" + (LaTeX[el2]) + " +" + (LaTeX[el3]) + " +" + (LaTeX[el4]) + " +" + (LaTeX[el5]) + " +" + (LaTeX[el6]) + "+" + (LaTeX[el7]) + " }{7} $
=  $\frac{" + (LaTeX[s_7]) + " }{7}$
=  $ " + (LaTeX[m7]) + " =Arithmetic \;  Mean (A.M)"
text11: "=  $ \frac{ " + (LaTeX[el1]) + " +" + (LaTeX[el2]) + "  +" + (LaTeX[el3]) + "  +" + (LaTeX[el4]) + "  +" + (LaTeX[el5]) + "  +" + (LaTeX[el6]) + " +" + (LaTeX[el7]) + "+" + (LaTeX[el8]) + "  }{8} $
=  $\frac{" + (LaTeX[s_8]) + "  }{8}$
=  $  " + (LaTeX[m8]) + "=  Arithmetic Mean (A.M)"
text12: "=  $ \frac{  " + (LaTeX[el1]) + " + " + (LaTeX[el2]) + "  + " + (LaTeX[el3]) + "  + " + (LaTeX[el4]) + "  +" + (LaTeX[el5]) + "   +" + (LaTeX[el6]) + "  +" + (LaTeX[el7]) + " +" + (LaTeX[el8]) + "+" + (LaTeX[el9]) + "   }{9} $
=  $\frac{ " + (LaTeX[s_9]) + "  }{9}$
=  $ " + (LaTeX[m9]) + "  =  Arithmetic \;  Mean (A.M)"