Mathematics

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. a Calculate the mean and standard deviation for this data. b. 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.

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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