The hours worked last week by 40 employees of a local clothing factory were as…

MATHEMATICS · Multi-part · CBSE · Mathematics · Statistics · Statistics

Problem

The hours worked last week by 40 employees of a local clothing factory were as follows:


38	40	46	32	41	39	44	38	40	42	38	40	43	41
47	36	38	39	34	40	48	30	49	40	40	43	45	36
35	39	42	44	48	36	38	42	46	38	39	40

(a) Calculate the mean and standard deviation for this data. (b) Now group the data into classes 30 - 33, 34 - 37, and so on. Calculate the mean and standard deviation using these groups. Examine any differences between the two sets of answers.

Related theory

Measures of Center
Variance and Standard Deviation
Measures of Spread
Statistics
Summary Statistics

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38	40	46	32	41	39	44	38	40	42	38	40	43	41
47	36	38	39	34	40	48	30	49	40	40	43	45	36
35	39	42	44	48	36	38	42	46	38	39	40


38	40	46	32	41	39	44	38	40	42	38	40	43	41
47	36	38	39	34	40	48	30	49	40	40	43	45	36
35	39	42	44	48	36	38	42	46	38	39	40


38	40	46	32	41	39	44	38	40	42	38	40	43	41
47	36	38	39	34	40	48	30	49	40	40	43	45	36
35	39	42	44	48	36	38	42	46	38	39	40