Question

the graph shows the ages of different concertgoers who have backstage passes. which statement is true about the graph? a late arrival who is 21 years old with a back - stage pass will make the mean greater than the median. the two holders of back - stage passes whose ages are above 40 make the mean age higher than the median age. the ages of concert - goers with backstage passes are skewed left, so the mean age is less than the median age. a concert - goer who is 18 years old and wins a back - stage pass will pull the mean more than 2 years less than the median.

Explanation:

Step1: Recall mean - median relationship in skewed data

In a right - skewed distribution, the mean is greater than the median; in a left - skewed distribution, the mean is less than the median. The given histogram has a tail on the right (higher ages), so it is right - skewed.

Step2: Analyze each option

• Option A: A 21 - year - old is around the peak of the distribution. Adding a value around the peak will not make the mean greater than the median as the existing distribution is already right - skewed.
• Option B: The two holders of back - stage passes whose ages are above 40 are in the right - tail of the distribution. In a right - skewed distribution, extreme values in the right - tail pull the mean upwards, making the mean age higher than the median age. This is correct.
• Option C: The ages are skewed right, not left. So, this option is incorrect.
• Option D: An 18 - year - old is around the peak of the distribution. Adding an 18 - year - old will not pull the mean more than 2 years less than the median.

Answer:

The two holders of back - stage passes whose ages are above 40 make the mean age higher than the median age.