Data on the highest and lowest number of hits by three

baseball teams within a specified period of time are
described by the next set of box-and-whisker plots.
a. Which team had the largest range? the smallest
range?
b. Which team had the largest interquartile range? the
smallest interquartile range?
c. For which team is the mean nearly equal to the
median? Why?
d. For which team does the mean most likely exceed
the median? Why?

We can't help you with seeing the data.

To answer these questions, we will analyze the given set of box-and-whisker plots. Now let's go through each question step by step:

a. To determine the team with the largest and smallest range, we need to identify the plots with the highest and lowest whiskers. The range is the difference between the highest and the lowest values.

- Look for the plot with the longest whisker pointing upwards. This indicates the team with the highest number of hits.
- Look for the plot with the longest whisker pointing downwards. This indicates the team with the lowest number of hits.

The team with the largest range will be the one with the longest whisker pointing upwards, and the team with the smallest range will be the one with the longest whisker pointing downwards.

b. The interquartile range represents the difference between the first quartile (25th percentile) and the third quartile (75th percentile). It provides a measure of the dispersion of the middle 50% of the data.

- Identify the plots that represent the first quartile and the third quartile.
- Measure the distance between these two points on each plot.

The team with the largest interquartile range will have the greatest distance between the first and third quartiles, and the team with the smallest interquartile range will have the smallest distance.

c. The mean and median both represent measures of central tendency.

- Compare the positions of the medians (the horizontal lines within the boxes) and the means (usually represented by a '+').
- If the median and mean are close to each other in the same plot, it means that the mean is nearly equal to the median.

d. When the mean is greater than the median, it indicates that there are some unusually high values dragging up the average.

- Identify the plots where the mean (represented by a '+') is higher than the median.
- This suggests that there are outliers with high values, which impact the mean more than the median.

By analyzing the given box-and-whisker plots and following the steps above, you can answer each of the questions.