Question

A high school has 28 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 242 pounds?

Answer 1

Answer:

25%

Step-by-step explanation:

Looking at the attached diagram, we can see that the box plot is divided into 3 sections,

Q1 = First Quartile (1/4 the players) = 25%

Q2 = Second Quartile (2/4 = 1/2 of the players) = 50%

Q3 = Third Quartile (3/4 of the players) = 75%

From the attached diagram, the weight of 242 pounds is on the Third Quartile, this means , 75% of the players weigh 242 pounds and below

The percentage of players weighing greater than or equal to 242 pounds is calculated as: 100 - 75%

= 25%

Answer 2

The percentage of players weighing greater than or equal to 242 pounds is 25 %.

Quartile of Data ;

• From the attached diagram, we can see that the box plot is divided into 3 sections.

• $Q_{1}$ = First Quartile , which represent $\frac{1}{4}$ part of the player. That is 25%

• $Q_{2} =$ Second Quartile ,which represent 1/2 of the players= 50%

• $Q_{3}=$Third Quartile , which represent 3/4 of the players = 75%

From the attached diagram, the weight of 242 pounds is comes on the Third Quartile.

It means that 75% of the players weigh 242 pounds and below

Hence, The percentage of players weighing greater than or equal to 242 pounds is,

                 $100-75=25$

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