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

Step-by-step explanation:

Answer: The scores can be arranged as follows:

Score Tally marks No. of 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

Answer:

Let's know the meaning of the terms "Mode" and "Median"

Mode = The no. which is occurring most frequently in a set of numbers is called Mode

Median = Median refers to the value which lie in the middle of the set of numbers (When arranged in ascending or descending order).

Now Coming to the question :-

First we will find the mode of the data :- 19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20

20 have occurred 4 times ∴

The most frequently occurring value =  20                                                                     Therefore the mode of the given set of data is 20

Now Median;

Numbers arranged in ascending order  = 5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25

So the middle value here is 20.

Median and Mode both are same.

Step-by-step explanation: