Question

question 4 of 14, step 1 of 1. 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 245 pounds? 3/20 correct

Explanation:

Step1: Identify total number of players

There are 44 players on the team.

Step2: Determine number of players weighing 245 pounds or more

From the box - plot, the number of players weighing 245 pounds or more is the number of values from 245 (inclusive) to the maximum value. The number of players in the range 245 - 262 is the part of the data above the 245 - pound mark. We assume the data is evenly distributed within the box - plot segments for approximation. The total number of players above 245 pounds is the number of players from the upper quartile (245 pounds) to the maximum (262 pounds). Since the box - plot represents the distribution of data, and we know the total number of data points is 44. The number of players above 245 pounds is \(44\times\frac{1}{4}=11\) (because in a box - plot, the part above the upper quartile represents about 25% of the data).

Step3: Calculate the percentage

The percentage formula is \(\text{Percentage}=\frac{\text{Number of favorable cases}}{\text{Total number of cases}}\times100\). Here, the number of favorable cases (players weighing 245 pounds or more) is 11 and the total number of cases (total players) is 44. So, \(\text{Percentage}=\frac{11}{44}\times100 = 25\%\)

Answer:

25%