## MCQ Questions for Class 10 Maths: Ch 14 Statistics

1. Mode is the

(a) middle most frequent value

(b) least frequent value

(c) maximum frequent value

(d) none of these

► (c) maximum frequent value

2. In a data, if l = 40, h = 15, f1=7, f0=3, f2=6, then the mode is

(a) 52

(b) 62

(c) 72

(d) none of these

► (a) 52

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

(a) centered at the lower limits of the classes

(b) centered at the upper limits of the classes

(c) centered at the class marks of the classes

(d) evenly distributed over all the classes

► (c) centered at the class marks of the classes

4. The mode of 4, 5, 6, 8, 5, 4, 8, 5, 6, x, 8 is 8. The value of ‘x’ is

(a) 4

(b) 5

(c) 6

(d) 8

► (d) 8

5. The wickets taken by a bowler in 10 cricket matches are 2, 6, 4, 5, 0, 3, 1, 3, 2, 3. The mode of the data is

(a) 1

(b) 2

(c) 3

(d) 4

► (c) 3

6. Construction of a cumulative frequency table is useful in determining the

(a) mean

(b) median

(c) mode

(d) all of the above

► (b) median

7. Mean of 100 items is 49. It was discovered that three items which should have been 60, 70, 80 were wrongly read as 40, 20, 50 respectively. The correct mean is

(a) 48

(b) 49

(c) 50

(d) 60

► (c) 50

8. Which of the following can not be determined graphically?

(a) Mean

(b) Median

(c) Mode

(d) None of these

► (a) Mean

9. Mean of 100 items is 49. It was discovered that three items which should have been 60, 70, 80 were wrongly read as 40, 20, 50 respectively. The correct mean is

(a) 48

(b) 49

(c) 50

(d) 60

► (c) 50

10. The age of 18 students of a class is reported below. Their modal age is 10, 17, 14, 10, 11, 12, 12, 13, 17, 13, 14, 14, 15, 16, 17, 15, 17, 16

(a) 22 years

(b) 17 years

(c) 14 years

(d) 16 years

► (b) 17 years

11. For the following frequency distribution:

If the mode and the median are 12.9 and 14.44 respectively, then the mean is

(a) 15.2

(b) 13

(c) 16

(d) 17

► (a) 15.2

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

(a) evenly distributed over all the classes

(b) centred at the classmarks of the classes

(c) centred at the upper limits of the classes

(d) centred at the lower limits of the classes

► (b) centred at the classmarks of the classes

13. For a symmetrical distribution, which is correct

(a) Mean > Mode > Median

(b) Mode = Mean+ Median/2

(c) Mean < Mode < Median

(d) Mean = Median = Mode

► (d) Mean = Median = Mode

14. The mean and the median of a distribution are 45.9 and 46 respectively. The mode will be

(a) 45

(b) 47

(c) 48

(d) 46.2

► (d) 46.2

15. Which of the following is true –

(a) Mode = 3Median + 2Mean

(b) Median = Mode +3/2[Mean – Median]

(c) Mean = Mode + 3/2[Median – Mode]

(d) Median = Mode + 3/2[Median + Mode]

► (c) Mean = Mode + 3/2[Median – Mode]

16. The measure of central tendency which is given by the x-coordinate of the point of intersection of the 'more than' ogive and 'less than' ogive is –

(a) Mean

(b) Median

(c) Mode

(d) None of these

► (b) Median

17. In the given data if n = 230, l = 40, cf = 76, h = 10, f = 65, then its median is

(a) 40

(b) 46

(c) 47

(d) 48

► (b) 46

18. The median of first 10 prime numbers is

(a) 11

(b) 12

(c) 13

(d) none of these

► (b) 12

19. The mean of the first 10 multiples of 6 is

(a) 3.3

(b) 33

(c) 34

(d) none of these

► (b) 33

20. The marks obtained by 9 students in Mathematics are 59, 46, 30, 23, 27, 44, 52, 40 and 29. The median of the data is

(a) 30

(b) 35

(c) 29

(d) 40

► (d) 40

21. Which of the following is true?

(a) Mode = 2Median – Mean

(b) Mode = 3Median + 2Mean

(c) Mode = 3Median – 2Mean

(d) None of these

► (c) Mode = 3Median – 2Mean

22. The mean of the first 10 natural numbers is

(a) 5

(b) 6

(c) 4.5

(d) 5.5

► (d) 5.5