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 12 e 63 - 68 6 f 69 - 74 3 g 75 - 80 2 choose the correct histogram below. a. b. c. d.

Explanation:

Step1: Recall histogram - construction rules

A histogram has bars where the x - axis represents the class intervals and the y - axis represents the frequencies. The height of each bar corresponds to the frequency of the respective class.

Step2: Analyze the given frequency distribution

The class intervals are A: 39 - 44 (freq = 1), B: 45 - 50 (freq = 2), C: 51 - 56 (freq = 5), D: 57 - 62 (freq = 12), E: 63 - 68 (freq = 6), F: 69 - 74 (freq = 3), G: 75 - 80 (freq = 2).

Step3: Match with the options

We look for a histogram where the bar - heights match the given frequencies for each class interval. The bar for class D (57 - 62) should be the tallest (height = 12), followed by E (height = 6), C (height = 5), etc.

Answer:

The correct histogram is the one where the bar - heights for the class intervals A - G match the frequencies 1, 2, 5, 12, 6, 3, 2 respectively. Without seeing the exact visual details of the options, if we assume a proper construction, the histogram with a tall bar for the 57 - 62 class interval is the correct one. If we had to pick based on a general understanding of how the frequencies translate to bar - heights, we need to visually inspect which of A, B, C, D has the correct relative bar - heights for the given class intervals.