Q 1 . Find out the mode of the following marks obtained by 15 students in a class :
Marks : 4 , 6 , 5 , 7 , 9 , 8 , 10 , 4 , 7 , 6 , 5 , 9 , 8 , 7 , 7.
SOLUTION :
Marks | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
No.of Students | 2 | 2 | 2 | 4 | 2 | 2 | 1 |
Since maximum frequency corresponds to the value 7 then mode = 7 marks.
Q 2 . Find out the mode from the following data :
125 , 175 , 225 , 125 , 225 , 175 , 325 , 125 , 375 , 225 , 125
SOLUTION :
Values | 125 | 175 | 225 | 325 | 375 |
Frequency | 4 | 2 | 3 | 1 | 1 |
Since maximum frequency 4 corresponds to the value 125 then mode = 125
Q 3 . Find the mode for the following series :
7.5 , 7.3 , 7.2 , 7.2 , 7.4 , 7.7 , 7.7 , 7.5 , 7.3 , 7.2 , 7.6 , 7.2
SOLUTION :
Values | 7.2 | 7.3 | 7.4 | 7.5 | 7.6 | 7.7 |
Frequency | 4 | 2 | 1 | 2 | 1 | 2 |
Since maximum frequency 4 corresponds to the value 7.2 then mode = 7.2
Q 4 . Find the mode of the following data in each case :
(i) . 14 , 25 , 14 , 28 , 18 , 17 , 18 , 14 , 23 , 22 , 14 , 18
SOLUTION :
Arranging the numbers in ascending order:
14 , 14 , 14 , 14 , 17 , 18 , 18 , 18 , 22 , 23 , 25 , 28
Here the observation 14 is having the highest frequency i . e , 4 in given data, so mode = 14.
(ii) . 7 , 9 , 12 , 13 , 7 , 12 , 15 , 7 , 12 , 7 , 25 , 18 , 7
SOLUTION :
Values | 7 | 9 | 12 | 13 | 15 | 18 | 25 |
Frequency | 5 | 1 | 3 | 1 | 1 | 1 | 1 |
Since maximum frequency 5 corresponds to the value 7 then mode = 7
Q 5 . The demand of different shirt sizes, as obtained by a survey, is given below :
Size: | 38 | 39 | 40 | 41 | 42 | 43 | 44 | Total |
No. of persons(wearing it) | 26 | 39 | 20 | 15 | 13 | 7 | 5 | 125 |
Find the modal shirt sizes, as observed from the survey.
SOLUTION :
Size: | 38 | 39 | 40 | 41 | 42 | 43 | 44 | Total |
No. of persons(wearing it) | 26 | 39 | 20 | 15 | 13 | 7 | 5 | 125 |
Since, maximum frequency 39 corresponds to the value 39 then mode = 39
1. What are the different measures of central tendency in statistics? |
2. How is the mean calculated? |
3. What is the median and how is it calculated? |
4. When is the mode used as a measure of central tendency? |
5. Can there be more than one mode in a dataset? |
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