Quantitative Methods - Quantitative Methods Section 1

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51. The table below shows some sample figures:

- 25   - 12-201
2   67911
13  19202125
29 39415565

  • Option : B
  • Explanation : Median is the value of the middle item of a set of items. The value of the 10th item is 11; the value of the 11th item is 13. The mean of 11 and 13 is 12.
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52. The discount rate set by the central bank of country XYZ for the past 6 quarters is shown below:

QuarterDiscount RateQuarterDiscount Rate
1  10.0%4 8.5%
2   10.5%59.6%
11.4%6 11.5%

  • Option : A
  • Explanation : Sample Mean = ∑t=Xi / N = (10.0 + 10.5 + 11.4 + 8.5 + 9.6 + 11.5) / 6 = 10.25%
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53. Which of the following statements about arithmetic mean is most accurate?

  • Option : A
  • Explanation : B is incorrect because the sum of the deviations around the mean is equal to 0. C is incorrect because the advantage of an arithmetic mean is that it makes use of all data.
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54. The discount rate set by the central bank of Romulus for the past 6 quarters is shown below:

Quarter Discount RateQuarterDiscount Rate
1   10.0%48.5%
10.5%59.6%
3  11.4%6 11.5%

  • Option : A
  • Explanation : Arrange the data in ascending order as: 8.5, 9.6, 10.0, 10.5, 11.4, 11.5 Since there are an even number of observations, take the average of the two middle values to calculate median: (10.0 + 10.5) / 2 = 10.25 Median = 10.25 percent
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55. The following table shows the intervals for temperatures recorded at different places all over the country. The respective frequency for each interval represents the number of towns and cities.

Interval Frequency
0 ≤ r ≤ 10 29
10 < r ≤ 20 37
20 < r ≤ 30 31
30 < r ≤ 40 35
40 < r ≤ 50 33

The modal interval of this distribution is most likely:

  • Option : B
  • Explanation : The modal interval is the interval with the highest frequency, which in this case, is 10 < r ≤ 20.
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