MCQ's & Practice Questions
on
Measure of Central Tendency
Q 1: Encircle the most suitable option in the options given
below for each question.
1. Which of the following describes the middle part of data?
a. Measure
of central tendency
b. Measure
of dispersion
c. Measure
of association
d. skewness
2. Which of the following is not based on all the observations?
a. A.M
b. G.M
c. H.M
d. Mode
3. The
sum of deviation about mean is always...
a. Zero
b. Positive
quantity
c. Negative
quantity
d. Range
4. The middle value of an order array of numbers is the...
a. Mean
b. Median
c. Mode
d. G.M
5. Which of the following divides a group of data into four subgroups?
a. Deciles
b. Quartiles
c. Percentiles
d. Median
6. The
G.M of 15,12,18,-25, 12, 18, 25, 17, 24, 34 is
a.
0
b.
Infinity
c.
26
d.
29
7. The
H.M of 0, 23, 30, 35, 36, 39, and 41 is
a.
0
b.
26
c.
32
d. 37
8. The
mode of 3,5,7,6,7,9,7 is
a.
3
b.
5
c.
6
d.
7
9. The
median of 3, 4, 5, 7, 8, 9, 10, 12, 15 is
a.
4
b.
7
c.
8
d.
9
10. If
a. 50
b. 60
c. 70
d. 80
11. The sum of 20 observations is 100. The
arithmetic mean will be
a. 4
b. 5
c. 6
d. 8
12. The A.M. is 25 and the sum of observations is 625. The number of observations will be:
a. 25.
b. 30
c. 35
d. 45
13. If A.M. and H.M. of a set of data are 10 & 12 respectively. Then G.M will be
a. 10
b. 10.95
c. 11.20
d. 11.45
14. If
a constant value is added to every observation of data, then arithmetic mean is
obtained by
a. Multiplying
the constant
b. Subtracting
the constant
c. Adding
the constant
d. Dividing
the constant
15. The
arithmetic mean of a set of data is 25, if 10 is added to each value of the
data, the new arithmetic mean is;
a. 250
b. 15
c. 35
d. 2.50
16. If
the A.M of two numbers a and b is 5, if a = 3, then b is
a. 3
b. 5
c. 7
d. 9
17. If
the smallest observation is decreased, the average which is not affected is
a. Mean
b. G.M
c. H.M
d. Median
18. A
measurement that corresponds to largest frequency in a set of data is called
a. Mean
b. Median
c. Mode
d. G.M
19. Mode
of the series 0,0,0,0,2,2,3,3,8,10 is
a. 0
b. 2
c. 3
d. None of them
20. The
model letter of the word, statistics, is
a. S
b. T
c. I
d. Both
a and b
21. The G.M. of two numbers a and b is 9. If a = 3, then b is equal to;
a. 3
b. 9
c. 27
d. 81
22. The
appropriate average for calculating the average speed of a journey is;
a. Mean
b. Median
c. H.M
d. G.M
23. If
the H.M of two numbers a and b is 6.40, if b = 16, then a is;
a. 4
b. 5
c. 10
d. 14
25. Which pair of averages cannot be calculated when the number in the series is zero?
a. G.M & Median
b. G.M
& A.M
c. A.M
& H.M
d. G.M
& H.M
|
Age (year) |
12 |
14 |
15 |
16 |
|
Number of
students |
125 |
291 |
250 |
50 |
Also find median and mode.
Q 4: Find the mean, geometric mean, harmonic mean, and median for the following data.
|
|
12 |
15 |
23 |
26 |
31 |
42 |
43 |
45 |
|
|
12 |
24 |
26 |
38 |
35 |
23 |
29 |
21 |
|
Age |
5
– 6 |
7
– 8 |
9
– 10 |
|
Frequency |
29 |
40 |
38 |
Estimate the following.
i. Mean
ii. Geometric mean.
iii. Median
iv. Mode.
was recorded.
|
No.
of days off sick |
1
– 5 |
6
– 10 |
11
– 15 |
16
– 20 |
21- 25 |
|
Frequency |
12 |
11 |
10 |
4 |
3 |
Find mean, geometric mean, harmonic mean, and median.
Q 7: A teacher notes the number of correct answers given by a class on a multiple-choice test.
|
Correct answer |
1
– 10 |
11-20 |
21
– 30 |
31- 40 |
41- 50 |
|
Number of
students |
2 |
8 |
15 |
11 |
3 |
Estimate the following.
i. Mean
ii. Geometric mean.
iii. Median
iv. Mode.
Q 8: The table below shows the distribution of marks for 100 students on a science test.
|
Marks (%) |
11-
20 |
21
– 30 |
31- 40 |
41- 50 |
51- 60 |
61
– 70 |
71
- 80 |
81
– 90 |
|
Number of students |
11 |
6 |
19 |
20 |
10 |
19 |
16 |
9 |
obtain
a. mean, median, and mode.
b. Find the lower and upper quartiles
Q 9: Find lower 9th deciles and upper 85th percentiles for the data
given in Q 8
- Read: Measure of Dispersion
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