Question

The scores in mathematics test (out of 25) of 15 students are 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?

Answer 1

Answer:

Answer: The scores can be arranged as follows:

Score Tally marks No.Students

5 | 1

9. | 1

10 | 1

12 | 1

15 | 1

16 | 1

19 | 1

20 |||| 4

23 | 1

24 | 1

25 || 2

Total 15

Score occurring most number of times = 20

Hence, mode = 25

Median can be calculated as follows:

We have odd number of scores = 15

So, position of median

=

Number of scores

+

1

2

=

15

+

1

2

=

8

The eighth score is shown below in bold:

5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25

Hence, median = 20

In this case, median and mode are same.

Answer 2

Step-by-step explanation:

Mode = 25

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