Please help solve the following problem and its steps! Thank you! Below are the

Question

Please help solve the following problem and its steps! Thank you!

Below are the number of graduate schools to which 42 undergraduate psychology majors applied. Set up a grouped frequency distribution of these data. Make the class intervals 2 units wide. Include columns for cumulative frequency, relative frequency, cumulative relative frequency, percent, and cumulative percent. Graph paper is recommended. 9, 19, 3, 10, 11, 7, 11, 8, 10, 8, 16, 11, 7, 4, 12, 8, 10, 12, 7, 12, 10, 11, 1, 9, 24, 9, 7, 9, 10, 9, 8, 7, 9, 10, 7, 9, 12, 7, 9, 21, 9, 10 a. What class interval contains the score in the middle of the distribution; that is, which interval contains the score that is higher than half the scores and lower than half the scores? b. Approximately 1/3 of the scores have values less than ___. c. Exactly 28 students applied to more than ___ schools. d. How many students applied to fewer than 15 schools?

Explanation / Answer

Various frequencies are as follows:

Part-a

Class interval 9-10

Part-b

Value less than 8

Part-c

Aplly to more than 8 schools (excluding 8)

Part-d

38 students apply to fewerr than 15 schools

Class interval Lower Limit Upper Limit Frequency Relative Frequency Cumulative Frequency Cumulatie Relative Frequency Percent Cumulative Percent 1 2 1 0.023809524 1 0.023809524 2% 2% 3 4 2 0.047619048 3 0.071428571 5% 7% 5 6 0 0 3 0.071428571 0% 7% 7 8 11 0.261904762 14 0.333333333 26% 33% 9 10 16 0.380952381 30 0.714285714 38% 71% 11 12 8 0.19047619 38 0.904761905 19% 90% 13 14 0 0 38 0.904761905 0% 90% 15 16 1 0.023809524 39 0.928571429 2% 93% 17 18 0 0 39 0.928571429 0% 93% 19 20 1 0.023809524 40 0.952380952 2% 95% 21 22 1 0.023809524 41 0.976190476 2% 98% 23 24 1 0.023809524 42 1 2% 100% Total 42 1 100%

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