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Published on: 13/05/2022
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Questions + Answers key
Take MCQ Maths Test1.
The following data shows that the number of hours spent by the students for study.
| Number of study hours | 1 | 2 | 3 | 4 | 5 | 6 |
| Number of students | 4 | 2 | 1 | 2 | 1 | 0 |
Find the mode.
2.
Find the mode of the following data. 14, 15, 12, 14, 16, 15, 17, 13, 16, 16, 15, 12, 16, 15, 13, 14, 15, 13, 15, 17, 15, 14, 18, 19, 12, 14, 15, 16, 15, 16, 13, 12.
3.
Find the mode of the following data 123, 132, 145, 176, 180, 120.
4.
The marks obtained by 11 students of a class in a test are 23, 2, 15, 38, 21, 19, 23, 23, 26, 34, 23. Find the mode of the marks.
5.
Find the mode of the given set of numbers. 5, 7, 10, 12, 4, 5, 3, 10, 3, 4, 5,7, 9, 10, 5, 12, 16, 20, 5
1.
Since the one hour study time is spent by maximum number of students, the mode of the data is 1 hour.
2.
We tabulate the data as follows.
The whole data ranges from 12 to 19.
| Observation | Tally marks | Frequency |
| 12 | |||| | 4 |
| 13 | |||| | 4 |
| 14 | 5 | |
| 15 | 9 | |
| 16 | 6 | |
| 17 | II | 2 |
| 18 | I | 1 |
| 19 | I | 1 |
| Total | 32 |
The highest frequency is 9 which corresponds to the value 15. Hence the mode of this data is 15.
3.
From the above data, we can see that there is no repetition of values in the given data. Each observation occurs only once, so there is no mode.
4.
Arranging the given marks in ascending order, we get,
2, 15, 19, 21, 23, 23, 23, 23, 26, 34, 38.
Clearly, 23 occurs maximum number of times. Hence mode of marks = 23.
5.
Arranging the numbers in ascending order without leaving any value, we get,
3, 3, 4, 4, 5, 5, 5, 5, 5, 7, 7, 9, 10, 10, 10, 12, 12, 16, 20
Mode of this data is 5, because it occurs more number of times than the other values.
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