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Lesson: Calculating Standard Deviation

Video: Finding the Standard Deviation of a List of Data Values

11:33

Worksheet: Calculating Standard Deviation • 14 Questions

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 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.

Q7:

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

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

  • A900, 1 800, 2 700, 3 600, 4 500, 5 400
  • B18, 31, 32, 55, 55, 55
  • C75, 75, 75, 75, 75, 75
  • D10, 20, 30, 40, 50, 50
  • E144, 144, 144, 144, 144, 145

Q12:

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

  • A149, 149, 149, 149, 149, 150
  • B0, 18, 37, 49, 49, 49
  • C50, 50, 50, 50, 50, 1 000
  • D10, 20, 30, 40, 50, 60
  • E100, 200, 300, 400, 500, 600

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.

  • A2
  • B1
  • C5
  • D10

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
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