question 4\na random sample of 30 male college - students was selected, and their heights were measured. the…

question 4\na random sample of 30 male college - students was selected, and their heights were measured. the heights (in inches) are given below.\n74 74 70 74 70 71\n67 70 74 69 73 66\n69 72 71 67 69 72\n71 74 69 71 69 74\n66 74 67 69 72 70\n(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.\n| height | frequency | relative frequency |\n| ---- | ---- | ---- |\n| 66 | | |\n| 67 | | |\n| 68 | | |\n| 69 | | |\n| 70 | | |\n| 71 | | |\n| 72 | | |\n| 73 | | |\n| 74 | | |\n(b) which of the following is the correct histogram for this data?

Answer

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
66	2	$\frac{2}{30}\approx0.07$
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
66	2	0.07
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)