Statistics Quiz

Use the following box and whisker plot to identify what percent of scores are below 82?

Using the box and whisker, what percent of scores fall between 82 and 93?

Using the box and whisker plot, describe the shape of the distribution of test scores.

What is the IQR of the test score distribution?

For which distribution shape would the mean be the best measure for the center of the distribution?

The heights of NCAA women’s basketball players are approximately normally distributed with a mean of 70 inches and a standard deviation of 2.6 inches. What is the probability that a player is less than 64.8 inches tall? Use the Empirical Rule.

The heights of NCAA women’s basketball players are approximately normally distributed with a mean of 70 inches and a standard deviation of 2.6 inches. What is the probability that a player is at most 75 inches tall? Round to the ten thousandth (same as the chart).

The heights of NCAA women’s basketball players are approximately normally distributed with a mean of 70 inches and a standard deviation of 2.6 inches. What height represents the 46^th percentile?

The heights of NCAA women’s basketball players are approximately normally distributed with a mean of 70 inches and a standard deviation of 2.6 inches. What is the probability that a player is between 67 and 76 inches tall? Round to the ten thousandth (same as chart).

Describe what a low outlier would do to the measures of central tendency and spread. Be specific!