Question

distribution of the rainfall on 52 consecutive tuesdays in a certain city. histogram. do the data appear to have a distribution that is... do the data appear to have a distribution that is approximately normal?
a. yes, it is approximately normal
b. no, it is approximately uniform
c. no, it has no obvious maximum
d. no, it is not symmetric

Explanation:

To determine if the data has an approximately normal distribution, we check for symmetry and a bell - shaped curve. A normal distribution is symmetric about its mean, with most data in the middle and tapering off on both sides.

• Option A: A normal distribution should be symmetric. Looking at the histograms (from the given options' context), the distribution is not symmetric (e.g., in one histogram the bars are higher on the left and in another on the right), so it's not approximately normal. So A is incorrect.
• Option B: A uniform distribution has all bars approximately the same height, which is not the case here. So B is incorrect.
• Option C: The histograms do have a maximum (the tallest bar), so this is not a valid reason. So C is incorrect.
• Option D: A normal distribution is symmetric. The given data's histogram (from the options' context) is not symmetric (e.g., one histogram has higher frequencies on the left and the other on the right), so the data is not symmetric, and thus not approximately normal.

Answer:

D. No, it is not symmetric