Question

The scores in Mathematics test (out of 25) of 21 students is as follows: 25,19,23,20,9,20,15,10,16,5,20,25,12,24,20, 15, 10, 15,19,6, 7 Find the mode and median of the given data?

(a) Mode = 16; Median 201

(c) Mode = 20; Median =16

(b) Mode = 16; Median = 21

(d) Mode = 20; Median=20​

Answer 1

Answer:

Check the step by step explination

Step-by-step explanation:

Given 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

Mode means which observation is most frequently occurred

Here observe that 20 is most frequently occurred so mode is 20. __(1)

first of all average the data in ascending order

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

Here observe that no of observations (n)=15

So median is  

2

N+1

​

 

th

 term

median =

2

15+1

​

 

th

 term

=

2

16

​

 

th

 term =8

th

 term

median =20 __(2)

from (1) & (2)

mode = median

(Both are same)