Question

Find the mean, the median and the mode of :
21, 24, 21, 6, 15, 18, 21, 45, 9, 6, 27 and 15.
if you don't know don't answer​

Answer 1

1. Given number :- 21, 24, 21, 6, 15, 18, 21, 45, 9, 6, 27 , 15.

∴ Mean =   $\frac{21+24+21+6+15+18+21+45+9+6+27+15}{12}$ = $\frac{228}{12}$ = 19

So,

Mean = 19

    2. Now,

From the given numbers we can clearly see :-

21, 24, 21, 6, 15, 18, 21, 45, 9, 6, 27, 15.

Mostly Repeated term =  21

∴ Mode = 21

So ,

Mode = 21

      3 . Now , arranging the numbers in ascending order :

6 , 6 , 9 , 15 , 15 , 18 , 21 , 21 , 21 , 24 , 27 , 45

∴ Number of   terms =  12 (even)

∴ Median =

                          $\frac{1}{2} [ \frac{n }{2} th \ term + (\frac{n}{2} + 1 )th \ term ] \\\\= \frac{1}{2} [ \frac{12}{2} th \ term + ( \frac{12}{2} +1 ) th \ term ] \\\\= \frac{1}{2} [ 6th \ term + 7th \ term ] \\\\= \frac{1}{2} [ 18 + 21 ] \\\\= \frac{1}{2} * 39 \\\\= 19.5$

So ,

Median = 19.5

Hope it will help you then please mark me brainliest .

Answer 2

Answer:

Mode is 21

Median is 21

Reasons are at explanation

Step-by-step explanation:

21 is occuring most frequently and it's known as mode

Median is 21 and 21 or 21 occuring 2 times

1st we should find it's mean and it gives 21 as median