In a soccer team where the average height is 172 172 cm and one player is 182 cm tall, how many standard deviations above the mean is the player's height?

Question

24-05-2024
Mathematics

High School

We appreciate your visit to In a soccer team where the average height is 172 172 cm and one player is 182 cm tall how many standard deviations above the. 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!

In a soccer team where the average height is 172 172 cm and one player is 182 cm tall, how many standard deviations above the mean is the player's height?

Answer :

Other Questions

Convert 53 degrees Fahrenheit to Celsius. Input the value only. (Round the

A jacket costs $150. Jason has a coupon that will give him

According to a recent survey, 81 percent of adults in a certain

Students hypothesized that blood pressure and pulse rate would decrease in response

Select the value of each expression when [tex]$x=1 \frac{1}{3}$[/tex]. 1. [tex]$4 \frac{1}{2}

A sequence is defined by the recursive function [tex]f(n+1)=\frac{1}{3} f(n)[/tex]. If [tex]f(3)=9[/tex],

The length of a rectangular bedroom is 2 feet more than its

Here is a data set ($n = 117$) that has been sorted:

Marcus is going to the grocery store to buy bananas and apples.

A unicameral legislature consists of only one chamber, while a bicameral legislature

mark646 mark646 · Answer 1 · 2023-08-11T19:57:27-04:00

Final answer:

To figure out how many standard deviations above the mean the player's height is, the z-score formula is used. By substituting the average height and the player's height, and making an educated estimate of the standard deviation, it's found the player's height is approximately 1.31 standard deviations above the mean height.

Explanation:

To determine how many standard deviations above the mean a player's height is, you would use the z-score formula. In this scenario, we lack the standard deviation for the height of soccer players, but what we can infer from the given information and the context, we can approximate that standard deviation might be close to 3 inches (7.62 cm) (a common estimate used in height studies).

The z-score formula is Z = (X - μ) / σ where X is the value of interest (player's height), μ is the mean height, and σ is the standard deviation. This means, you subtract the mean from the value of interest, and then divide that by the standard deviation.

Converting 3 inches into cm we get approximately 7.62 cm. So, if we use this as our standard deviation, we get Z = (182-172) / 7.62 = ~1.31. This implies that the player's height of 182 cm is approximately 1.31 standard deviations above the mean height.

Learn more about standard deviations here:

https://brainly.com/question/32288430

#SPJ11