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Measures of central tendency

Read the chapter notes, short questions and numericals for this topic

Written by Dr. Nadia Shah (Statistics)

12 سوالات: گیارہویں جماعت Statistics، جوابات اور وضاحت کے ساتھ۔

جوابی کنجی کے ساتھ قابلِ پرنٹ ورک شیٹ

تمام سوالات جوابات کے ساتھ
  1. The arithmetic mean of 2, 4, 6, 8 and 10 is:

    • 1 8
    • 2 6
    • 3 5
    • 4 30
    جواب دیکھیں

    درست جواب: 6

    The sum is 30 and there are 5 values, so 30 ÷ 5 = 6.

    غلطی کی اطلاع دیں

  2. The median of 3, 5, 7, 9 and 11 is:

    • 1 7
    • 2 35
    • 3 5
    • 4 9
    جواب دیکھیں

    درست جواب: 7

    The middle value of the five ordered values is 7.

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  3. The median of 4, 6, 8 and 10 is:

    • 1 7
    • 2 28
    • 3 8
    • 4 6
    جواب دیکھیں

    درست جواب: 7

    With an even number of values the median is the mean of 6 and 8, which is 7.

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  4. The mode of 2, 3, 3, 4, 3, 5 is:

    • 1 5
    • 2 2
    • 3 3
    • 4 4
    جواب دیکھیں

    درست جواب: 3

    3 occurs three times, more than any other value.

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  5. Which average is least affected by extreme values?

    • 1 The sum
    • 2 The weighted mean
    • 3 The median
    • 4 The mean
    جواب دیکھیں

    درست جواب: The median

    The median depends only on the middle position.

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  6. The formula for the mean of a frequency distribution is:

    • 1 Σx × Σf
    • 2 Σx ÷ Σf
    • 3 Σf ÷ Σfx
    • 4 Σfx ÷ Σf
    جواب دیکھیں

    درست جواب: Σfx ÷ Σf

    Multiply each value by its frequency, add them and divide by the total frequency.

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  7. A set of data with two modes is called:

    • 1 Unimodal
    • 2 Skewed
    • 3 Bimodal
    • 4 Symmetric
    جواب دیکھیں

    درست جواب: Bimodal

    Two values with the highest frequency make the data bimodal.

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  8. Which average can be used for non-numerical data such as favourite colours?

    • 1 The mean
    • 2 The mode
    • 3 The weighted mean
    • 4 The median
    جواب دیکھیں

    درست جواب: The mode

    The mode is the most frequent category.

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  9. The mean of 10, 20 and 30 is:

    • 1 60
    • 2 20
    • 3 30
    • 4 10
    جواب دیکھیں

    درست جواب: 20

    The sum is 60 and 60 ÷ 3 = 20.

    غلطی کی اطلاع دیں

  10. The sum of 5 values is 40. Their mean is:

    • 1 5
    • 2 35
    • 3 8
    • 4 200
    جواب دیکھیں

    درست جواب: 8

    40 ÷ 5 = 8.

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  11. A weighted mean is used when:

    • 1 There is only one value
    • 2 The values have different importance
    • 3 The data are not numbers
    • 4 All values are equal
    جواب دیکھیں

    درست جواب: The values have different importance

    Each value is multiplied by its weight.

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  12. The mean of the frequency distribution with values 1, 2 and 3 and frequencies 2, 3 and 5 is:

    • 1 2.3
    • 2 2
    • 3 1.5
    • 4 3
    جواب دیکھیں

    درست جواب: 2.3

    Σfx = 2 + 6 + 15 = 23 and Σf = 10, so the mean is 2.3.

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