Question types

Measures of Dispersion question types

278 questions across 7 question groups — pick any mix to generate a Economics paper with step-by-step answer keys.

278
Questions
7
Question groups
5
Question types
Sample Questions

Measures of Dispersion questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Which of the following measure of dispersion is useful in certain advanced statistical problems?
  • A
    Lorenz curve.
  • Standard Deviation.
  • C
    Mean Deviation.
  • D
    Quartile Deviation.

Answer: B.

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______ of dispersion expresses the variability of data in terms of the original unit.
  • A
    Relative measure.
  • Absolute measure.
  • C
    Standard deviation.
  • D
    None of these.

Answer: B.

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Main advantage of standard deviation is that it:
  • A
    Is difficult to understand and compute.
  • B
    Is not capable of further algebraic treatment.
  • C
    Ignores extreme values.
  • Takes algebraic signs in consideration.

Answer: D.

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The mean deviation from median ($MD_M$) is computed as $14.5$ and the median (M) of the series is $20$. Find the coefficient of mean deviation from median.
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Q 243 Marks Question3 Marks
The yield of wheat and rice per acre for 10 districts of a state is as under:
District
1
2
3
4
5
6
7
8
9
10
Wheat
12
10
15
19
21
16
18
9
25
10
Rice
22
29
12
23
18
15
12
34
18
12
Calculate for crop.
Which crop has greater variation?
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Q 254 Marks Question4 Marks
Find out range and coefficient of range from the following data.
Marks: 20-29 30-39 40-49 50-59 60-69
Number of Students: 8 12 20 7 3
Hint: As per the question, inclusive series of marks and number of students are given. For calculating range and coefficient of range, firstly we will convert inclusive series into exclusive series and after that we will compute range.
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Q 264 Marks Question4 Marks
Kunal was asked by his Statistics teacher, Mrs Sharma to compute inter-quartile range and quartile deviation of a set of data which contained positive values. As per Kunal's calculations, IQR was 25 and quartile deviation was 30. Even without checking the calculations, Mrs Sharma declared that the answers are wrong. Is Mrs Sharma correct in her assertion?
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Q 274 Marks Question4 Marks
Compute mean deviation from mean and coefficient of mean deviation:
Weekly Wages (ₛ): 200-400 400-600 600-800 800-1000
No. of Workers: 20 40 30 10
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Q 336 Marks Question6 Marks
If the coefficient of variation of X-series is 14.6% and that of Y-series is 36.9% and their mean are 101.2 and 101.25 respectively, find their standard deviation.
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