Question

average temperatures in kentucky and illinois
analyze the histogram comparing the frequencies shown for the annual temperatures of kentucky and illinois. which statement is true about the histogram?
the distribution for illinois is skewed left.
the distribution for kentucky is skewed left.
both distributions are skewed right.
both distributions are symmetrical.

Explanation:

Step1: Recall skewness definitions

A left - skewed distribution has a long tail on the left side. A right - skewed distribution has a long tail on the right side. A symmetrical distribution has equal tails on both sides.

Step2: Examine Illinois distribution

For Illinois (orange bars), the frequencies are higher on the left side (around 50 - 52) and then drop off, with a long tail on the right side. So it is skewed right.

Step3: Examine Kentucky distribution

For Kentucky (blue bars), the frequencies are higher on the left side (around 54) and then drop off, with a long tail on the right side. So it is also skewed right.

Answer:

Both distributions are skewed right.