Mean, Median & Mode

Total Questions: 53

1. The runs scored by 11 players in the cricket match are as follows. [SSC CHSL Tier II (10/01/2024)]

7, 16, 121, 51, 101, 81, 1, 16, 9, 11, 16 Calculate the median of the data.

Correct Answer: (d) 16
Solution:

2. A set of data presented in the form of a frequency distribution table with class intervals and their respective frequencies had a mode of 48.5. The lower boundary of the modal class was 46.5; the frequency of the modal class was 34; the frequency of the class interval just preceding the modal class was 32 and the frequency of the class interval just succeeding the modal class was 25. What was the width of the modal class? [SSC CGL Tier II (26/10/2023)]

Correct Answer: (c) 11
Solution:

3. Calculate the mean from the following table. [SSC CPO 10/11/2022 (Evening)]

ScoresFrequencies
0 – 102
10 – 204
20 – 3012
30 – 4021
40 – 506
50 – 603
60 – 702
Correct Answer: (a) 33.4
Solution:


4. Let x be the median of data: 33, 42, 28, 49, 32, 37, 52, 57, 35, 41. If 32 is replaced by 36 and 41 by 63, then the median of the data, so obtained, is y. What is the value of (x + y) ? [SSC MTS 19/08/2019 (Evening)]

Correct Answer: (b) 78.5
Solution:

5. A set of data is given. The mean of the set is 35 while the median is set as 60. Find the mode of the data. [SSC MTS 14/08/2019 (Morning)]

Correct Answer: (d) 110
Solution:

6. The marks of Nine students in ascending order for a test are given below with Median as 34, the value of k is: 12, 16, k, 28, k + 5, 32, 39, 47, 53. [SSC MTS 09/08/2019 (Afternoon)]

Correct Answer: (a) 29
Solution:

7. What is the difference of mean and median of the given data? 4, 13, 8, 15, 9, 21, 18, 23, 35, 1? [SSC MTS 08/08/2019 (Morning)]

Correct Answer: (a) 0.7
Solution:

8. The data below shows the number of wickets taken by each bowler and the number of bowlers who took them. [SSC MTS 07/08/2019 (Afternoon)]

What is the median of the number of
wickets?

Correct Answer: (b) 2
Solution:

9. In the data given below, the number of sixes and the batsmen who hit them, has been shown. [SSC MTS 06/08/2019 (Morning)]

What is the median of the number of
sixes ?

Correct Answer: (a) 3
Solution:


will be 3.

10. What is the mode of the given data 4, 3, 4, 3, 2, 2, 2, 5, 5, 3, 4, 6, 4, 3, 3 [SSC MTS 05/08/2019 (Afternoon)]

Correct Answer: (b) 3
Solution:

The mode is the number that is repeated most often. Here 3 is repeated the maximum number of times (5) so the mode will be 3.