Question

identifying a skewed data distribution
which display shows a data distribution that is skewed right?
typing speeds
words (per minute)
number of pets
average number of hours of daily sleep

Explanation:

Step1: Recall right - skewed data characteristics

In a right - skewed distribution, the tail of the distribution extends to the right. The bulk of the data is concentrated on the left side and there are a few larger values that pull the tail to the right.

Step2: Analyze the first histogram

For the "Typing Speeds" histogram, the frequencies are higher for lower typing speed intervals (10 - 20, 20 - 30) and then decrease for higher intervals (40 - 50), which is not right - skewed.

Step3: Analyze the dot - plot

The "Number of Pets" dot - plot is more symmetric, with data points evenly distributed around the center values (1, 2, 3), not right - skewed.

Step4: Analyze the box - plot

For the "Average Number of Hours of Daily Sleep" box - plot, the right whisker is much longer than the left whisker. The box and the bulk of the data (represented by the box and the left portion of the plot) are on the left side, and the long right whisker indicates that there are some larger values pulling the tail to the right. This is a right - skewed distribution.

Answer:

The box - plot of "Average Number of Hours of Daily Sleep" shows a data distribution that is skewed right.