Practice test

Statistics - Test Set 1

Review 20 exam-focused questions with detailed explanations, then start the interactive test when you are ready.

20 questions

Questions and explanations

  1. Question 1

    Calculate the mean for the following data.

    2.7, 5.3, 7.6, 9.5, 15.4
    1. 8.25
    2. 8.5
    3. 8.75
    4. 8.1
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  2. Question 2

    Find the arithmetic mean of 36, 53, 50, 43, 57, 50, 40, 35, 39 and 34.
    1. 43.7
    2. 43
    3. 50
    4. 52.4
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  3. Question 3

    The mean of 22, 35, 15, 75, 66, 50, 52, 36, 70, 86 and 10 is:
    1. 51
    2. 57
    3. 46.5
    4. 47
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  4. Question 4

    Find the mean for the following data:

    1.8, 7.5, 9.2, 12.1, 15.4
    1. 9.5
    2. 9.7
    3. 9.8
    4. 9.2
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  5. Question 5

    Mean of first ten odd natural numbers is:
    1. 10
    2. 11
    3. 9
    4. 19
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  6. Question 6

    The arithmetic mean of the first ten prime numbers is__________:
    1. 12.8
    2. 12.9
    3. 15.8
    4. 10.1
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  7. Question 7

    If the mean of the following data is 11, find the value of 'k'.

    11, 19, 5, 10, k, 13, 12, 8, 15, 14
    1. 3
    2. 13
    3. 12
    4. 11
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  8. Question 8

    If the mean of six observations 5, 7, 9, a, 11 and 12 is 9, then the value of a is:
    1. 12
    2. 15
    3. 16
    4. 10
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  9. Question 9

    Mean of the given observations x + 1, x + 3, x + 5, x + 7 and x + 9 is 6, then the value of x is:
    1. 5
    2. 6
    3. 3
    4. 1
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  10. Question 10

    If the mean of five observations x, x − 1, x − 2, x − 3 and x − 4 is 20, then the mean of the first two observations is________
    1. 23.5
    2. 22.5
    3. 21.5
    4. 20.5
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  11. Question 11

    The mass of five meteorites found on earth are 23.5 kg, 15 kg, 20 kg, 22 kg and 16 kg. For this data, which of the following measures is 19.3 kg?
    1. Mode
    2. Mean Deviation
    3. Mean
    4. Median
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  12. Question 12

    If each of the observations of 14, 22, 16, 24, 12, 8, 4, 18, 12, 10 is increased by 10, then what will be their new mean?
    1. 26
    2. 24
    3. 14
    4. 16
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  13. Question 13

    The arithmetic mean of a set of 16 observations is 12. If 8 is subtracted from each of six of these observations, then the new arithmetic mean is___.
    1. 11
    2. 9
    3. 10
    4. 15
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  14. Question 14

    If the arithmetic mean and geometric mean of two observations are 10 and 5 respectively, then find the sum of the squares of the observations.
    1. 295
    2. 275
    3. 225
    4. 350
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  15. Question 15

    10 is the mean of a set of 7 observations and 5 is the mean of another set of 3 observations. The mean of the combined set is:
    1. 8.5
    2. 7.5
    3. 15
    4. 10
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  16. Question 16

    In a frequency distribution, the frequency of the observations 2, 4, 8, 7 and 5 is 5, 3, 2, 6 and 4 respectively. Find the arithmetic mean of this data.
    1. 5
    2. 23
    3. 25
    4. 24
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  17. Question 17

    The mean of 5 observations is 20. If one observation is added, then the mean increases by 2. What is the value of the 6th observation that is added?
    1. 22
    2. 32
    3. 42
    4. 52
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  18. Question 18

    What is the sum of deviations of the values of the same data set from the mean of the values given in data sets 5, 6, 7, 9, 10, 12 and 14?
    1. 1
    2. −1
    3. 2
    4. 0
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  19. Question 19

    What is the mean deviation of eight observations?

    6, 7, 10, 12, 13, 4, 8, 12
    1. 2.75
    2. 2.25
    3. 2
    4. 2.5
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  20. Question 20

    In a frequency distribution, if the mid-value of the class is 35 and the value of the lower boundary is 30, then the value of its upper boundary is:
    1. 30
    2. 10
    3. 40
    4. 20
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