Question

A high school has 44 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 greater than or equal to 213 pounds

Answer 1

Without the specific box plot data, we cannot determine the exact percentage of football players weighing greater than or equal to 213 pounds. To compare the California quarterback with the Texas player, we calculate and compare their z-scores based on their teams' mean weights and standard deviations.

Step-by-step explanation:

To determine the percentage of players weighing greater than or equal to 213 pounds, we would need the box plot data that illustrates the distribution of weights on the football team. Since the box plot is not included, we cannot provide an exact percentage. However, if we assume that the data is normally distributed, we could use the z-score formula to find out where 213 pounds stands in relation to the mean and standard deviation of the weights. For the famous quarterback who weighed 205 pounds, we would calculate his z-score by subtracting the mean weight of the players from his weight and dividing by the standard deviation. This would tell us how many standard deviations above or below the mean he was.

Regarding the comparison between the California quarterback and the Texas player, since we know the Texas player weighed in at 209 pounds and the mean weight and standard deviation for the Texas team, we can calculate his z-score in the context of his team. The player with the lower z-score is lighter in comparison to their respective team averages. To find who was lighter, we calculate and compare the z-scores of the California quarterback and the Texas player within their respective teams.

Answer 2

Step-by-step explanation:

The missing image is attached below.

From the given information

The number of players is 44.

From the box plot;

The minimum weight = 154 pounds

The first quartile Q₁ = 159 which is 25% of the data below 159 pounds.

The second quartile Q₂ = 213 which is 50% of the data below 213 pounds

The third quartile Q₃ = 253 which is 75% of the data below 253 pounds

The maximum weight = 268 pounds.

Here, the value of 213 is the middle value and which signifies the median.

The 50% of the data are located both on the left side and the right side of the median.

Thus, the percentage of players weighting greater than or equal to 213 pounds is 50%.