Question

the frequency distribution below represents frequencies of actual low - temperatures recorded during the course of a 31 - day month. use the frequency distribution to construct a histogram. do the data appear to have a distribution that is approximately normal?

class	frequency
b 45 - 50	3
c 51 - 56	6
d 57 - 62	13
e 63 - 68	5
f 69 - 74	1
g 75 - 80	2

choose the correct histogram below.
a.
b.
c.
d.

Explanation:

Step1: Identify class - intervals and frequencies

The class - intervals are: A (39 - 44), B (45 - 50), C (51 - 56), D (57 - 62), E (63 - 68), F (69 - 74), G (75 - 80) with frequencies 1, 3, 6, 13, 5, 1, 2 respectively.

Step2: Analyze option A

In option A, the frequencies for the intervals do not match the given frequency distribution. For example, the frequency for class D is not 13.

Step3: Analyze option B

In option B, the frequencies for the intervals match the given frequency distribution. The bar for class D has a height corresponding to 13, for class C to 6, etc.

Step4: Analyze option C

In option C, the frequencies for the intervals do not match the given frequency distribution. The bar - heights are not consistent with the frequencies 1, 3, 6, 13, 5, 1, 2.

Step5: Analyze option D

In option D, the frequencies for the intervals do not match the given frequency distribution. The relative heights of the bars are incorrect compared to the given frequencies.

Answer:

B.