Answer:
Step-by-step explanation:
The given data set is:
Week 1: 600
Week 2: 300
Week 3: 500
Week 4: 900
The following are the steps to find the standard deviation:
Step 1. Jim enters the data and calculates the average or mean.
[tex]Mean=\frac{600+300+500+900}{4}=\frac{2300}{4}=575[/tex]
Step 2. Jim calculates the deviation from the mean by subtracting the mean from each value.
Data value (x) [tex]x-{\overline{x}}[/tex]
600 25
300 -275
500 -75
900 325
Step 3. Jim squares each deviation to remove negative signs.
Data value (x) [tex](x-{\overline{x}})^2[/tex]
600 625
300 75625
500 5625
900 105625
Step 4. Jim sums the squares of each deviation and divides by the count for the variance.
[tex]Variance=\frac{625+75625+5625+105625}{4}=46875[/tex]
Step 5.Jim takes the square root of the variance to find the standard deviation.
[tex]Standard deviation=\sqrt{46875}=216.50[/tex]
