In worksheet on mean median and mode the questions are based on finding the mean median and mode.
1. Find the mean of the following data.
(a) 9, 7, 11, 13, 2, 4, 5, 5
(b) 16, 18, 19, 21, 23, 23, 27, 29, 29, 35
(c) 2.2, 10.2, 14.7, 5.9, 4.9, 11.1, 10.5 (d) 1^{1}/_{4}, 2^{1}/_{2}, 5^{1}/_{2}, 3^{1}/_{4}, 2^{1}/_{2}
2. Find the mean of first ten whole numbers.
3. Find the mean of first 5 prime numbers.
4. The mean of 8,
11, 6, 14, x and 13 is 66. Find the value of the observation x.
5. The mean of 6, 8, x + 2, 10, 2x - 1, and 2 is 9. Find the value of x and also the value of the observation in the data.
6. Find the mean of the following distribution.
(a) The age of 20 boys in a locality is given below.
Age in Years | 12 | 10 | 15 | 14 | 8 |
Number of Boys | 5 | 3 | 2 | 6 | 4 |
(b) Marks obtained by 40 students in an exam are given below.
Marks | 25 | 30 | 15 | 20 | 24 |
Number of Students | 8 | 12 | 10 | 6 | 4 |
(c)
x_{i} | 1 | 2 | 3 | 4 | 5 |
f_{i} | 4 | 5 | 8 | 10 | 3 |
(d) The daily wages of 50 employees in an organization are given below:
Daily wages (in $) | 100 - 150 | 150 - 200 | 200 - 250 | 250 - 300 |
Number of Workers | 12 | 13 | 17 | 8 |
Find the mean daily wages.
7. Find the mode of the following data.
(a) 12, 8, 4, 8, 1, 8, 9, 11, 9, 10, 12, 8
(b) 15, 22, 17, 19, 22, 17, 29, 24, 17, 15
(c) 0, 3, 2, 1, 3, 5, 4, 3, 42, 1, 2, 0
(d) 1, 7, 2, 4, 5, 9, 8, 3
8. The runs scored in a cricket match by 11 players is as follows:
7, 16, 121, 51, 101, 81, 1, 16, 9, 11, 16
Find the mean, mode, median of this data.
9. The weights in kg of 10 students are given below:
39, 43, 36, 38, 46, 51, 33, 44, 44, 43
Find the mode of this data. Is there more than 1 mode? If yes, why?
10. The marks obtained by 40 students out of 50 in a class are given below in the table.
Marks (in $) | 42 | 36 | 30 | 45 | 50 |
Number of Students | 7 | 10 | 13 | 8 | 2 |
Find the mode of the above data.
11. The number of rupee notes of different denominations are given below in the table.
Denominations (Rs) | 10 | 20 | 5 | 50 | 100 |
Number of Notes | 40 | 30 | 10 | 25 | 20 |
Find the mode of the above data.
12. Find the median of the following data.
(a) 27, 39, 49, 20, 21, 28, 38
(b) 10, 19, 54, 80, 15, 16
(c) 47, 41, 52, 43, 56, 35, 49, 55, 42
(d) 12, 17, 3, 14, 5, 8, 7, 15
13. The following observations are arranged in ascending order. The median of the data is 25 find the value of x.
17, x, 24, x + 7, 35, 36, 46
14. The mean of the following distribution is 26. Find the value of p and also the value of the observation.
x_{i} | 0 | 1 | 2 | 3 | 4 | 5 |
f_{i} | 3 | 3 | p | 7 | p - 1 | 4 |
Also, find the mode and the given data.
Answers for the worksheet on mean median and mode are given below to check the exact answers of the above questions.
Answers:
1. (a) 7
(b) 24
(c) 8.5
(d) 3
2. 4.5
3. 5.6
4. 344
5. 9, 11, 17
6. (a) 11.8
(b) 23.15
(c) 3.1
(d) $196
7. (a) 8
(b) 17
(c) 3
(d) no mode
8. Mean = 39 1/11;
Mode = 16;
Median = 16
9. 43, 44
10. 30
11. 10
12. (a) 28
(b) 17.5
(c) 47
(d) 10
13. 18
14. 2, 1
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