Question

1. the following data set represents the number of days emma played soccer each week for the past 5 weeks. 5, 6, 5, 4, 5 number of days distance from mean 5 6 5 4 5 total deviation

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{5 + 6+5 + 4+5}{5}=\frac{25}{5}=5$.

Step2: Calculate the distance from the mean for each data - point

For 5: $|5 - 5|=0$; for 6: $|6 - 5|=1$; for 5: $|5 - 5|=0$; for 4: $|4 - 5|=1$; for 5: $|5 - 5|=0$.

Step3: Fill in the table

NUMBER OF DAYS	DISTANCE FROM MEAN
6	1
5	0
4	1
5	0

Step4: Calculate the total deviation

The total deviation is $0 + 1+0 + 1+0=2$.

Answer:

NUMBER OF DAYS	DISTANCE FROM MEAN
6	1
5	0
4	1
5	0

Total deviation: 2