STATISTICS (CDS)

Total Questions: 63

51. Consider the following statements related to cumulative frequency polygon of a frequency distribution, the frequencies being cumulated from the lower end of the range:

1. The cumulative frequency polygon gives an equivalent representation of frequency distribution table.
2. The cumulative frequency polygon is a closed polygon with one horizontal and one vertical side. The other sides have non-negative slope.

Which of the above statement(s) is/are correct?

Correct Answer: (a) Only 1
Solution:

Here, statement 1 is correct but statement 2 is not correct.

52. Consider the following data

1. Number of complaints lodged due to road accidents in a state within a year for 5 consecutive years.
2. Budgetary allocation of the total available funds to the various items of expenditure.

Which of the above data is/are suitable for representation of a pie diagram?

Correct Answer: (c) Both 1 and 2
Solution:

Both statements 1 and 2 are suitable for representation of a pie diagram.

53. When we take class intervals on the X-axis and corresponding frequencies on the Y-axis and draw rectangles with the areas proportional to the frequencies of the respective class intervals, the graph so obtained is called

Correct Answer: (d) None of these
Solution:

When we take class intervals on the X-axis and corresponding frequencies on the Y-axis and draw rectangles with the areas proportional to the frequencies of the respective class intervals, the graph so obtained is called histogram.

54. Solve the following equation

Correct Answer: (a) 0
Solution:

55. Ten observations 6, 14, 15, 17, x + 1, 2x - 13, 30, 32, 34 and 43 are written in ascending order. The median of the data is 24. What is the value of x?

Correct Answer: (c) 20
Solution:


56. Consider the following

I. The arithmetic mean of two unequal positive numbers is always greater than their geometric mean.
II. The geometric mean of two unequal positive numbers is always greater than their harmonic mean.

Which of the above statement(s) is/are correct?

Correct Answer: (c) Both I and II
Solution:

The decreasing order of means is Arithmetic mean > Geometric mean > Harmonic mean.

57. Consider the following statements in respect of a discrete set of numbers.

I. The arithmetic mean uses all the data and is always uniquely defined.
II. The median uses only one or two numbers from the data and may not be unique.

Which of the above statement(s) is/are correct?

Correct Answer: (c) Both I and II
Solution:Arithmetic mean uses all the data and is always uniquely defined. Median uses only one or two numbers from the data and may not be unique. e.g. (n+1)/2 term for odd n and (n+1)/1 and n/2 term for even n.

58. Solve the following equation

Correct Answer: (c) Both I and II
Solution:

59. The following table gives 'less than' type frequency distribution of income per day.

Correct Answer: (b) 500-750
Solution:

60. Which of the following items of information is a good example of statistical data?

Correct Answer: (c) A list of annual incomes of the members of a club
Solution:

A list of annual incomes of the members of a club is a good example of statistical data.