Question

Below is a set of data representing measurement to the nearest millimeter of triceps skin-fold of seventh-grade boys:

4,7,13,12,10,6,7,17,9,8,13,21,6,9,10,9,8,7,5,9,15,17,19

8,9,10,7,4,20,10,9,15,12,18,12,8,9,9,11,10,7,8,15,6,19,10

9,9,7,13,12,8,22,10,5,8,9,11,13,15,19,17,11,9,8,9,10,11,7

9,14,7,16,10,9,8,9,6,14,11,12,9,8,15,6,10,17

1. Organize data into a grouped frequency distribution.
2. Calculate cumulative frequency and cumulative percentiles for the data
3. From the grouped frequency distribution, find the mode, median, and range
4. Transform the raw scores of 7, 10, 13, and 16 into corresponding T-scores, and percentiles.

Answer 1

	Data					cumulative
lower		upper	midpoint	width	frequency	frequency	percent
4	<	7.99	6	4	14	14	21.9
8	<	11.99	10	4	29	43	67.2
12	<	15.99	14	4	12	55	85.9
16	<	19.99	18	4	7	62	96.9
20	<	23.99	22	4	2	64	100.0
					64
		Mean	10.5781
		Median	9
		Mode	9

T-scores	Percentiles
-0.87746	0.383572
-0.14177	0.887712
0.593912	0.554697
1.329597	0.188445