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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 Goals12456
Number of Matches19758

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 Goals01345
Number of Matches25965

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 Goals13456
Number of Matches54438

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 Goals03456
Number of Matches86444

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 Goals01456
Number of Matches59394

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.

180181183185179
184175188183184

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 18.378.97.68.27.288.4
Sample 248.75245.747.251.448.346.945.4

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