Question

question 4
a random sample of 30 male college - students was selected, and their heights were measured. the heights (in inches) are given below.
74 74 70 74 70 71
67 70 74 69 73 66
69 72 71 67 69 72
71 74 69 71 69 74
66 74 67 69 72 70
(a) complete the frequency distribution for the data. make sure to enter your answers for the relative frequency as decimals, rounded to two decimal places.

height	frequency	relative frequency
67
68
69
70
71
72
73
74

(b) which of the following is the correct histogram for this data?

Explanation:

Step1: Count frequency of each height

Count the number of times each height value appears in the data - set.

Step2: Calculate relative frequency

Relative frequency = $\frac{\text{Frequency}}{\text{Total number of data points}}$. The total number of data - points is $n = 30$.

Height	Frequency	Relative Frequency
67	3	$\frac{3}{30}=0.10$
68	0	$\frac{0}{30}=0.00$
69	6	$\frac{6}{30}=0.20$
70	4	$\frac{4}{30}\approx0.13$
71	4	$\frac{4}{30}\approx0.13$
72	3	$\frac{3}{30}=0.10$
73	1	$\frac{1}{30}\approx0.03$
74	7	$\frac{7}{30}\approx0.23$

To answer part (b), we need to match the bar - heights in the histograms with the frequencies we calculated above. Without seeing the exact heights of the bars in the histograms clearly, we note that the frequencies are: 2, 3, 0, 6, 4, 4, 3, 1, 7. The correct histogram should have bar - heights corresponding to these values for the respective height intervals.

Answer:

Height	Frequency	Relative Frequency
67	3	0.10
68	0	0.00
69	6	0.20
70	4	0.13
71	4	0.13
72	3	0.10
73	1	0.03
74	7	0.23

(No answer provided for part (b) as histogram details are not clear enough for a definite choice)