the frequency distribution below represents frequencies of actual low temperatures recorded during the…

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?\nclass frequency\na 39 - 44 1\nb 45 - 50 2\nc 51 - 56 5\nd 57 - 62 15\ne 63 - 68 5\nf 69 - 74 1\ng 75 - 80 2\nchoose the correct histogram below\ndo the data appear to have a distribution that is approximately normal?\na. no, it is approximately uniform.\nb. yes, it is approximately normal.\nc. no, it is not at all symmetric.\nd. no, it is completely erratic.
Answer
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