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
a 39 - 44 1
b 45 - 50 2
c 51 - 56 5
d 57 - 62 15
e 63 - 68 5
f 69 - 74 1
g 75 - 80 2
choose the correct histogram below
do the data appear to have a distribution that is approximately normal?
a. no, it is approximately uniform.
b. yes, it is approximately normal.
c. no, it is not at all symmetric.
d. no, it is completely erratic.

Explanation:

Step1: Analyze the frequency - class relationship

The class intervals are A: 39 - 44 (freq = 1), B: 45 - 50 (freq = 2), C: 51 - 56 (freq = 5), D: 57 - 62 (freq = 15), E: 63 - 68 (freq = 5), F: 69 - 74 (freq = 1), G: 75 - 80 (freq = 2).

Step2: Match with histogram shapes

The frequencies start low, increase to a peak at class D, and then decrease symmetrically. This is characteristic of a normal - like distribution.

Step3: Determine the normal - distribution status

A normal distribution has a bell - shaped curve with symmetry around the mean. The data here has a single peak and is approximately symmetric around the class with the highest frequency (class D).

Answer:

B. Yes, it is approximately normal