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Mathematics

Calculate the mean of the following distribution:
Class interval Frequency
5 - 15 2
15 - 25 6
25 - 35 4
35 - 45 8
45 - 55 4

Measures of Central Tendency

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Answer

Class	Class-mark (y_i)	Frequency (f_i)	f_iy_i
5 - 15	10	2	20
15 - 25	20	6	120
25 - 35	30	4	120
35 - 45	40	8	320
45 - 55	50	4	200
Total		Σf_i = 24	Σf_iy_i = 780

$\text{Mean }= \dfrac{∑f$

Hence, mean of the following distribution is 32.5.

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