# Worksheet: Standard Deviation

Q1:

Calculate the standard deviation of the values 45, 35, 42, 49, 39, and 34. Give your answer to 3 decimal places.

Q2:

Calculate the standard deviation of the values 46, 43, 36, 39, 31, and 38. Give your answer to 3 decimal places.

Q3:

Calculate the standard deviation of the values 32, 50, 44, 46, 40, and 33. Give your answer to 3 decimal places.

Q4:

Calculate the standard deviation of the values 41, 38, 48, 37, 40, and 40. Give your answer to 3 decimal places.

Q5:

Calculate the standard deviation of the values 31, 43, 37, 30, 47, and 49. Give your answer to 3 decimal places.

Q6:

The table shows the distribution of goals scored in the first half of a football season.

 Number of Goals Number of Matches 1 2 4 5 6 1 9 7 5 8

Find the standard deviation of the number of goals scored. If necessary, give your answer to three decimal places.

Q7:

The table shows the distribution of goals scored in the first half of a football season.

 Number of Goals Number of Matches 0 1 3 4 5 2 5 9 6 5

Find the standard deviation of the number of goals scored. If necessary, give your answer to three decimal places.

Q8:

The table shows the distribution of goals scored in the first half of a football season.

 Number of Goals Number of Matches 1 3 4 5 6 5 4 4 3 8

Find the standard deviation of the number of goals scored. If necessary, give your answer to three decimal places.

Q9:

The table shows the distribution of goals scored in the first half of a football season.

 Number of Goals Number of Matches 0 3 4 5 6 8 6 4 4 4

Find the standard deviation of the number of goals scored. If necessary, give your answer to three decimal places.

Q10:

The table shows the distribution of goals scored in the first half of a football season.

 Number of Goals Number of Matches 0 1 4 5 6 5 9 3 9 4

Find the standard deviation of the number of goals scored. If necessary, give your answer to three decimal places.

Q11:

Without calculating exact standard deviation values, determine which of the following data sets has the highest standard deviation.

• A18, 31, 32, 55, 55, 55
• B10, 20, 30, 40, 50, 50
• C900,
1 800
,
2 700
,
3 600
,
4 500
,
5 400
• D144, 144, 144, 144, 144, 145
• E75, 75, 75, 75, 75, 75

Q12:

Determine (without calculating the standard deviation exactly) which of the following data sets has the lowest standard deviation.

• A0, 18, 37, 49, 49, 49
• B10, 20, 30, 40, 50, 60
• C149, 149, 149, 149, 149, 150
• D100, 200, 300, 400, 500, 600
• E50, 50, 50, 50, 50,
1 000

Q13:

The set of data 47, 51, 47, 51, 47, 51, 47, 51, 47, 51 has a mean of 49. Use this to decide (without calculating the exact answer) which of the following is closest to the standard deviation of the data.

• A5
• B2
• C10
• D1

Q14:

The table shows the heights of some basketball players in centimeters. Calculate, to three decimal places, the standard deviation of the heights.

 180 181 183 185 179 184 175 188 183 184

Q15:

In the table, Sample 1 is the actual weight, in ounces, of the content of cans of pet food labeled as having a net weight of 8 ounces. Sample 2 gives the actual weight, in pounds, of the content of the bags of dry pet food labeled as having a net weight of 50 pounds.

 Sample 1 Sample 2 8.3 7 8.9 7.6 8.2 7.2 8 8.4 48.7 52 45.7 47.2 51.4 48.3 46.9 45.4

For each sample, calculate the mean and the standard deviation . Round your answers to the nearest hundredth if necessary.

• A and , and
• B and , and
• C and , and
• D and , and
• E and , and