Olympiad Test: Data Handling - 2 | 10 Questions MCQ Test

QUESTION: 1

What is the mode of the given data 16, 20, 8, 17, 27, 34, 28, 32, 27, 15, 27, 54, 42.

A.
8
B.
27
C.
54
D.
None of these

Solution:

Mode = 27, as it occurs 3 times.

QUESTION: 2

If the mean of the given data 16, 24, x, 34, 35, 25, 37, 42, 47, is 32. What is the value of x?

A.
26
B.
27
C.
28
D.
29

Solution:

= 32
⇒ 260 + x = 288 ⇒ x = 288 – 260 = 28

QUESTION: 3

The heights of nine players of a team are 165cm, 168cm, 170cm, 174cm, 182cm, 160cm, 171cm, 173cm, 164cm. Find the median.

A.
168 cm
B.
170 cm
C.
171 cm
D.
None of these

Solution:

The height in ascending order are 160, 164, 165, 168, 170, 171, 173, 174, 182.
n = 9, which is odd.

QUESTION: 4

What is the mean of the following data.

A.
34.22
B.
36.22
C.
37.22
D.
None of these

Solution:

Mean =

QUESTION: 5

What is the median of the following data

A.
56.5
B.
57.5
C.
58.5
D.
59.5

Solution:

N = 50
N = 50, which is even.

QUESTION: 6

The ages in years of 15 teachers of a school are 41, 32, 51, 43, 24, 38, 49, 56, 42, 28, 37, 48, 45, 47, 50. What is the range of ages of teachers?

A.
32 years
B.
30 years
C.
28 years
D.
None of these

Solution:

The ages in the ascending order are 24, 28, 32, 37, 38, 41, 42, 43, 45, 47, 48, 49, 50, 51, 56,
Range = 56 – 24 = 32

QUESTION: 7

A batsman scored the following number of runs in 8 innings. What is the arithmetic mean? 59, 36, 57, 35, 60, 55, 46, 50.

A.
49.25
B.
49.35
C.
49.65
D.
49.75

Solution:

Arithmetic Mean

QUESTION: 8

Following are the margins of victory in the football matches of a league.
1, 3, 2, 5, 1, 4, 6, 2, 5, 2, 2, 2, 4, 1, 2, 3, 1, 1,
2, 3, 2, 6, 4, 3, 2, 1, 1, 4, 2, 1, 5, 3, 3, 2, 3, 2,
4, 2, 1, 2.

What is the mode of this data?

A.
1
B.
2
C.
3
D.
4

Solution:

The frequency of 2 is highest. So, mode = 2

QUESTION: 9

The scores in physics test (out of 100) of 15 students is as follows: 19, 42, 68, 27, 36, 48, 78, 38, 12, 17, 61, 65, 47, 84, 39.

What is the median of this data?

A.
39
B.
42
C.
47
D.
48

Solution:

The marks in ascending order are
12, 17, 19, 27, 36, 38, 39, 42, 47, 48, 61, 65, 68, 78, 84.
n = 15, which is odd.

QUESTION: 10

What is the mode of this following data 12,
14, 12, 16, 15, 13, 14, 18, 19, 12, 14, 15, 16,
15, 16, 16, 15. 17, 13, 16, 16, 15, 15, 13, 15,
17, 15, 14, 15, 13, 15, 14.