Question

does the frequency distribution appear to have a normal distribution? explain. temperature (°f) frequency 40 - 44 1 45 - 49 4 50 - 54 7 55 - 59 14 60 - 64 7 65 - 69 4 70 - 74 1 choose the correct answer below. a. no, because the frequencies start low, proceed to one or two high frequencies, then decrease to a low frequency, and the distribution is approximately symmetric. b. yes, because the frequencies start low, proceed to one or two high frequencies, then decrease to a low frequency, and the distribution is approximately symmetric. c. yes, because the frequencies start low, proceed to one or two high frequencies, then increase to a maximum, and the distribution is not symmetric. d. no, because the frequencies start low, proceed to one or two high frequencies, then decrease to a low frequency, and the distribution is not symmetric.

Explanation:

Step1: Recall normal distribution properties

A normal distribution has frequencies starting low, increasing to a peak (one or two high - frequencies), then decreasing to low frequencies, and is symmetric.

Step2: Analyze given frequency distribution

The frequencies start at 1, increase to 14 (one high - frequency), then decrease back to 1. But we need to check symmetry. The distribution of frequencies 1, 4, 7, 14, 7, 4, 1 is symmetric about the middle class (55 - 59).

Answer:

B. Yes, because the frequencies start low, proceed to one or two high frequencies, then decrease to a low frequency, and the distribution is approximately symmetric.