Advertisements
Advertisements
Question
The scores in mathematics test (out of 25) of 15 students is as follows:
19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20
Find the mode and median of this data. Are they same?
Solution
Scores of 15 students in mathematics test are
19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20
Arranging these scores in an ascending order,
5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25
Mode of a given data is that value of observation which occurs for the most number of times. Median of a given data is the middle observation when the data is arranged in an ascending or descending order.
As there are 15 terms in the given data, therefore, the median of this data will be the 8th observation.
Hence, median = 20
Also, it can be observed that 20 occurs 4 times (i.e., maximum number of times).
Therefore, mode of this data = 20
Yes, both are same.
APPEARS IN
RELATED QUESTIONS
Find the mode of the following data.
| Marks | 35 | 36 | 37 | 38 | 39 | 40 |
| No. of Student | 09 | 07 | 09 | 04 | 04 | 02 |
What is the the mode of 19, 19, 15, 20, 25, 15, 20, 15?
Find the mode of 5, 6, 9, 13, 6, 5, 6, 7, 6, 6, 3
Find the mode of:
| x | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 |
| f | 6 | 7 | 9 | 13 | 10 | 12 | 8 | 0 | 4 |
Find the mean, the median, and the mode of 21, 24, 21, 6, 15, 18, 21, 45, 9, 6, 27 and 15.
Find the mode of the given set of numbers: 1, 1, 2, 4, 3, 2, 1, 2, 2, 4
The 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.
Find the mode of this data.
Find the mode of the 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.
Find the modes of the data 2, 1, 1, 3, 4, 5, 2
Find the mode of the given data:
10, 8, 4, 7, 8, 11, 15, 8, 4, 2, 3, 6, 8
