A high school has 48
players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing less than or equal to 214
pounds?

150
160
170
180
190
200
210
220
230
240
250
260
270

−∞
266
164
180
214
244
Weight (in pounds)



Answer :

To determine the percentage of players weighing less than or equal to 214 pounds based on the box plot provided, we need to analyze the given data:

The box plot shows weight categories with the middle line representing the median weight. The box extends from the lower quartile (Q1) to the upper quartile (Q3), and the whiskers represent the minimum and maximum weights within a certain range. The plot also includes outliers if present.

Since the box plot displays the weight distribution of the players, we can infer the following:

- The box extends from approximately 164 to 244 pounds.

- The lower whisker extends down to around 150 pounds.

- The upper whisker goes up to about 266 pounds.

Given this information, we can see that all weights up to and including 214 pounds fall within the interquartile range (IQR) of the box plot. Therefore, the percentage of players weighing less than or equal to 214 pounds can be estimated to be close to 100%.

If you need a more precise calculation based on exact values or data points, additional statistical analysis or information on the quartiles and outliers may be required for a more accurate determination.