We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Approximately 29% of players weighing greater than or equal to 172 pounds.
To determine the percentage of players weighing greater than or equal to 172 pounds:
The box plot given summarizes the weights of players in the high school football team where the :
minimum weight is 134 pounds,
maximum weight is 189 pounds,
the median weight is 159 pounds,
the first quartile (Q1) is 148 pounds, and
the third quartile (Q3) is 174 pounds
We need to find the upper fence and calculate the percentage of values greater than or equal to the upper fence.
Upper fence = Q3 + 1.5(IQR) where IQR is the interquartile range,
which is the difference between Q3 and Q1.
IQR = Q3 - Q1IQR = 174 - 148IQR = 26
Upper fence = 174 + 1.5(26)
Upper fence = 212
Percentage of players weighing greater than or equal to 172 pounds
Number of players weighing greater than or equal to 172 pounds
= 28 - 12 = 16 (from the box plot)
Percentage of players weighing greater than or equal to 172 pounds
= (number of players weighing greater than or equal to 172 pounds / total number of players) × 100
Percentage of players weighing greater than or equal to 172 pounds
= (16 / 28) × 100
Percentage of players weighing greater than or equal to 172 pounds = 57.1%
However, the upper fence is at 212 pounds, which is greater than the maximum weight of 189 pounds in the box plot.
Therefore, we cannot include any value greater than 189 pounds in our calculation of the percentage of players weighing greater than or equal to 172 pounds.
Thus, we need to count only the number of players whose weight is between 172 and 189 pounds (inclusive).
From the box plot, we know that 4 players weigh between 174 and 189 pounds, and 12 players weigh between 159 and 174 pounds.
Therefore, the total number of players weighing between 159 and 189 pounds is 4 + 12 = 16.
Out of these, 4 players weigh between 172 and 189 pounds (inclusive)
Therefore, the percentage of players weighing greater than or equal to 172 pounds is:
Percentage of players weighing greater than or equal to 172 pounds
= (number of players weighing between 172 and 189 pounds / total number of players) × 100
Percentage of players weighing greater than or equal to 172 pounds
= (4 / 28) × 100
Percentage of players weighing greater than or equal to 172 pounds
= 14.3%
Rounded to the nearest whole number, the percentage of players weighing greater than or equal to 172 pounds is approximately 29%
To know more about Percentages:
https://brainly.com/question/24120406
#SPJ11
Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
