Chapter 21, Problem 5AT

You are the human resource director for Apollo Industries. Forty applicants for employment were given an assessment test in math and English with the following results:

87	67	81	83	94	72	84	68	33	56
91	79	88	95	84	75	46	27	69	97
69	57	66	81	87	19	76	54	78	91
78	72	75	89	74	92	45	59	85	72

a. What are the range and mode of these scores?

b. Group the data into nine classes of equal size (11-20, 21-30, etc.) and construct a frequency distribution.

c. Calculate the mean of the grouped data by using 15.5, 25.5, etc., as the midpoints.

d. If company policy is to consider only those who score 10 points higher or better than the mean of the data, how many from this group are still being considered for the job?

e. Construct a histogram of the assessment test scores frequency distribution.