NCERT Class 10 Chapter 14 Statistics CBSE Board Sample Problems Multiple Choice Question

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Question

While computing mean of grouped data, we assume that the frequencies are

1. Centered the lower limits of

2. Evenly distributed over all the class

3. Centered at the class marks

4. Centered the upper limits of the class

Question

Measure of central tendency is represented by the abscissa of the point where the ‘less than ogive’ and ‘more than ogive’ intersect, is

1. Mean

2. Median

3. Mode

4. None of these

Question

The wickets taken by a bowler in lo cricket matches are 2, 6, 4, 5, 0, 3, 1, 3, 2, 3. The mode of the data is

1. 1

2. 2

3. 4

4. 3

Question

The percentage of marks obtained by loo students in an examination are as follows:

The percentage of marks obtained by loo students in an examination

Marks

130-135

135-140

140-145

145-150

150-155

155-160

160-165

Frequency

10

15

18

22

23

8

4

The cumulative frequency of the class interval 150 - 155 is

  1. 90

  2. 80

  3. 100

  4. 88

Question

Consider the following frequency distribution of the heights of 60 students of a class

Frequency distribution of the heights of 60 students of a class

Height(in cm)

150-155

155-160

160-165

165-170

170-175

175-180

No of students

15

13

10

8

9

5

Question

The upper limit of the median class in the given data is

1. 165

2. 155

3. 160

4. 170

Question

The empirical relationship between the three measures of central tendency is

1. 2Mean=3Median- Mode

2. 2Mode=3Median- Mean

3. Mode=2Mean- 3Median

4. 3Median=2Mode+Mean

Question

If the ‘less than’ and the ‘more than’ o gives intersect at the point (27, 34), then find the median of the distribution and also find the total number of observations.

  1. 27, 34

  2. 54, 34

  3. 54, 68

  4. 27, 68

Question

If the mode of a data ¡s 45 and mean is 27, then the median is

1. 30

2. 27

3. 33

4. None of the above

Question

A set of numbers consists of three 4s, two 5s, six 6s eight 8s and seven 10s.

What is the mode of this collection of numbers?

1. 10

2. 7.5

3. 7

4. 8

Question

What measure of central tendency is represented by the abscissa of the point where ‘less than ogive’ and the ‘more than ogive’ intersect?

1. Mean

2. Median

3. Mode

4. None of the above

Question

Which measure of central tendency is given by the x coordinate of the point of intersection of the “more than ogive” and “less than ogive’?

1. Mean

2. Mode

3. Median

4. Range