Christian worked for eight weeks over the summer as a landscaper. The pay he earned for each of the eight weeks is shown in the data table.
1. Determine the mean of the data.
2. Determine the difference of each weekly pay from the mean.
3. Calculate the square of each difference.
4. Add the squares of the differences.
5. Calculate the variance by dividing the sum of the squares by "n-1". Round to the nearest cent.
6. Determine the sample standard deviation. Round to the nearest cent.
Difference from the mean
(Difference from the mean)
Money Earned
X-
X-X
255
-7.5
56.25
300
37.5
1406.25
260
-2.5
6.25
200
-62.5
3906.25
250
- 12.5
156.25
235
-27.5
756.25
275
12.5
156.25
3906.25
325
Mean
262.5
62.5
Sum of (differences from mean)
(x-x)
Standard Deviation: 3(x-x)
Variance: 3(x-)
n-1
n-1