Question

the table below shows the frequency distribution of the rainfall on 52 consecutive fridays in a certain city. use the frequency distribution to construct a histogram. do the data appear to have a distribution that is approximately normal? class frequency 0 - 0.19 26 0.20 - 0.39 10 0.40 - 0.59 6 0.60 - 0.79 2 0.80 - 0.99 3 1.00 - 1.19 3 1.20 - 1.39 2 do the data appear to have a distribution that is approximately normal? a. no, it is approximately uniform b. no, it has no obvious maximum c. yes, it is approximately normal d. no, it is not symmetric

Explanation:

Step1: Recall histogram - construction rules

The x - axis represents the class intervals of rainfall, and the y - axis represents the frequency. For each class interval, draw a bar with height equal to the frequency of that class.

Step2: Analyze normal - distribution characteristics

A normal distribution is symmetric about its mean, has a single peak, and the frequencies tail off on both sides. Looking at the given frequency - distribution, the frequencies are highest in the first class interval (0 - 0.19) with 26, and then decrease as the class intervals increase.

Step3: Match with histogram options

Option B has the highest bar in the 0 - 0.19 class interval which matches our data.

Step4: Determine distribution type

The distribution is not symmetric (a requirement for a normal distribution), so it is not approximately normal.

Answer:

B.
D. No, it is not symmetric