Dear Student Marks Students (f) M V (m) fm Deviation Mean x = m - Mean x2 fx2 20-30 5 25 125 -26 67 711 29 3556 44 30-40 15 35 525 -16 67 277 89 4168 33 40-50 0 45 0 -6 67 44 49 0 00 50-60 22 55 1210 3 33 11 09 243 96 60-70 11 65 715 13 33 177 69 1954 58 70-80 7 75 525 23 33 544 29 3810 02 N = 60 300 3100 1766 73 13733 33 Mean = ∑fm∑fMean = 310060Mean = 51 67 SD = ∑fx2∑fSD = 13733 3360SD = 228 89SD = 15 13 Variance (σ2) = ∑fx2∑fVariance (σ2) = 13733 3360Variance (σ2) = 228 89 Regards

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Plzz solvw this now Q.36. Calculate arithmetic mean, Marks No. of Students : standard deviation and variance from the following series : 60-70 11 [R 30-40 20-30 15 = 51.67, S.D. = 15.13, = 228.92]

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Marks	Students (f)	M.V.(m)	fm	Deviation Mean x = m - Mean	x²	fx²
20-30	5	25	125	-26.67	711.29	3556.44
30-40	15	35	525	-16.67	277.89	4168.33
40-50	0	45	0	-6.67	44.49	0.00
50-60	22	55	1210	3.33	11.09	243.96
60-70	11	65	715	13.33	177.69	1954.58
70-80	7	75	525	23.33	544.29	3810.02
	N = 60	300	3100		1766.73	13733.33

M e a n = \frac{\sum_{f m}}{\sum_{f}} M e a n = \frac{3100}{60} M e a n = 51.67

S D = \sqrt{\frac{\sum_{f x^{2}}}{\sum_{f}}} S D = \sqrt{\frac{13733.33}{60}} S D = \sqrt{228.89} S D = 15.13

V a r i a n c e (σ^{2}) = \frac{\sum_{f x^{2}}}{\sum_{f}} V a r i a n c e (σ^{2}) = \frac{13733.33}{60} V a r i a n c e (σ^{2}) = 228.89

Regards

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Plzz solvw this now Plzz solvw this now Q.36. Calculate arithmetic mean, Marks No. of Students : standard deviation and variance from the following series : 60-70 11 [R 30-40 20-30 15 = 51.67, S.D. = 15.13, = 228.92]

Plzz solvw this now

Plzz solvw this now Q.36. Calculate arithmetic mean, Marks No. of Students : standard deviation and variance from the following series : 60-70 11 [R 30-40 20-30 15 = 51.67, S.D. = 15.13, = 228.92]