Question

Five members of the football team and five members of the track team ran the 100-meter dash. Their times are listed in the table below: Football Track 12.5 12.4 13.4 11.6 12.2 11.5 11.5 12.4 14.1 13.5 What is the difference of the means for the two groups?

Answer 1

Answer:

0.46

Step-by-step explanation:

To find the mean, we add together all of the data points and divide by the number of data points.

For the football team, we add

12.5+13.4+12.2+11.5+14.1 = 61.4

Divide this by 5, the number of data points:

61.4/5 = 12.28

For the track team, we add

12.4+11.6+11.5+12.4+13.5 = 63.7

Divide this by 5, the number of data points:

63.7/5 = 12.74

The difference in means is

12.74-12.28 = 0.46

Answer 2

The difference between the means for the two groups is 0.46.

What is the meaning of mean of data?

The mean of data is the average value of all observations, given as:

$\bar{x} = \frac{\sum x_{i}}{N}$

where $x_{i}$ , represents i-th observations i running from 1 to N, and N represents the number of observations.

How to solve the question?

In the question, we are given a table (attachment) showing the time taken by 5 players of football and track teams for a 100-meter dash.

We are asked to find the difference between the means for the two groups.

First, we find the mean of the football group using the formula $\bar{x} = \frac{\sum x_{i}}{N}$

Therefore, Mean 1 = (12.5 + 13.4 + 12.2 + 11.5 + 14.1)/5 = 63.7/5 = 12.74.

Now, we find the mean of the track group using the formula $\bar{x} = \frac{\sum x_{i}}{N}$

Therefore, Mean 2 = (12.4 + 11.6 + 11.5 + 12.4 + 13.5)/5 = 61.4/5 = 12.28.

Now, the difference between their means = Mean 1 - Mean 2 = 12.74 - 12.28 = 0.46.

Therefore, the difference between the means for the two groups is 0.46.

Learn more about means at

https://brainly.com/question/20118982

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