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 1\nc 51 - 56 5\nd 57 - 62 12\ne 63 - 68 8\nf 69 - 74 2\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 completely erratic\nb. no, it is not at all symmetric\nc. no, it is approximately uniform\nd. yes, it is approximately normal
Answer
Explanation:
Step1: Analyze the frequency distribution
The frequencies are 1, 1, 5, 12, 8, 2, 2 for classes A - G respectively.
Step2: Recall normal - distribution characteristics
A normal distribution has a bell - shaped curve, symmetric about the mean.
Step3: Check symmetry
The frequencies increase from class A to D and then decrease. But the distribution is not symmetric. For example, the left - hand side (classes A - C) has frequencies 1 + 1+5 = 7 and the right - hand side (classes E - G) has frequencies 8 + 2+2 = 12.
Answer:
B. No, it is not at all symmetric