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 skew - left and skew - right definitions

A distribution is skewed left if the tail is on the left side (frequencies decrease from left to right more gradually on the left - hand side). A distribution is skewed right if the tail is on the right side (frequencies decrease from right to left more gradually on the right - hand side). A distribution is symmetrical if the left and right sides are mirror images.

Step2: Analyze Illinois' distribution

For Illinois (orange bars), the frequencies start low, increase to a peak at 50°F, and then decrease. The tail is on the left side as the frequencies decrease more gradually on the left - hand side. So, Illinois' distribution is skewed left.

Step3: Analyze Kentucky's distribution

For Kentucky (blue bars), the frequencies are not symmetrical. The distribution is not clearly skewed right or left in a strong sense, but it is not symmetrical either. However, based on the given options, the correct statement about the overall histograms is related to Illinois.

Answer:

The distribution for Illinois is skewed left.