Worksheet: Variance and Standard Deviation
In this worksheet, we will practice finding and interpreting the variance and the standard deviation.
The table shows the distribution of goals scored in the first half of a football season.
|Number of Goals||1||2||4||5||6|
|Number of Matches||1||9||7||5||8|
Find the standard deviation of the number of goals scored. If necessary, give your answer to three decimal places.
Without calculating the exact standard deviations, determine which of the following datasets has the highest standard deviation.
- A10, 10, 10, 10, 10, 11
- B100, 100, 100, 100, 100, 100
- C100, 200, 300, 400, 500, 500
- D 1 000, 2 000, 3 000, 4 000, 5 000, 6 000
- E3, 31, 53, 63, 63, 63
What is the name of a quantity expressing by how much the members of a group differ from the mean value for the group?
- Barithmetic mean
- Dstandard deviation
Fady has gathered in the table below his last jogging times in minutes.
If the jogging times were converted into hours, what would be the variance of the data set? Give your answer correct to two decimal places.
The table represents the time, in minutes, that several people took to finish a race.
If the data was instead given in hours, calculate its standard deviation to two decimal places.
Calculate the standard deviation of the values . If necessary, give your answer to three decimal places.
Find, to two decimal places, the variance of the following scores obtained in a quiz by 92 students.
By calculating the standard deviation, determine which of the sets , , or has the largest dispersion.
Determine (without calculating the standard deviation exactly) which of the following data sets has the lowest standard deviation.
- A100, 200, 300, 400, 500, 600
- B50, 50, 50, 50, 50, 1 000
- C10, 20, 30, 40, 50, 60
- D149, 149, 149, 149, 149, 150
- E0, 18, 37, 49, 49, 49