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Lesson: Finding Sample and Population Standard Deviation

Worksheet: Finding Sample and Population Standard Deviation • 12 Questions

Q1:

What is the denominator in the calculation of population standard deviation for a data set with items?

  • A
  • B
  • C
  • D
  • E

Q2:

What is the denominator in the calculation of sample standard deviation for a data set with items?

  • A
  • B
  • C
  • D
  • E

Q3:

In general, what does a larger value of σ mean?

  • AThe median is larger than the mean.
  • BThe mean of the data is smaller.
  • CThe data is more spread out.
  • DThe mean of the data is larger.
  • EThe data is less spread out.

Q4:

Calculate, to the nearest hundredth, the sample standard deviation for each of the shown data sets.

Data Set 12522285126282932
Data Set 22127192624232825
  • Adata set 1: , data set 2:
  • Bdata set 1: , data set 2:
  • Cdata set 1: , data set 2:
  • Ddata set 1: , data set 2:
  • Edata set 1: , data set 2:

Which of these statements helps explain the large difference between the sample standard deviations for the two data sets?

  • AThe mode of data set 1 value of 28 causes the standard deviation to increase significantly.
  • BThe median of data set 1 is greater, which explains why the standard deviation is greater.
  • CThe single large value of 51 in data set 1 causes the standard deviation to increase significantly.
  • DThe mean of data set 1 is greater, which explains why the standard deviation is greater.
  • EThe lowest value is in data set 2, so this makes the standard deviation smaller.

Q5:

The data set shown contains a potentially outlying value of 32. What effect would removing this value have on the calculation of the standard deviation?

121513113213919
  • AThe standard deviation would decrease.
  • BThe standard deviation would increase.
  • CThe standard deviation would not change.
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