Question

The marks of 11 students out of 25 are as follows:
21, 20, 13, 15, 10, 20, 15, 21, 18, 20, 14
Find the mean, range, median and mode of the data.



plz help me urgently the person who will write the answer will selected as brainlist answer.​

Answer 1

Answer:

mode is 20

mean is 17

median is 18

range is 21-10=11

plz mark me brainlist

Answer 2

Step-by-step explanation:

Given:-

The marks of 11 students out of 25 are as follows:

21, 20, 13, 15, 10, 20, 15, 21, 18, 20, 14

To find:-

Find the mean, range, median and mode of the data.

Solution:-

Given observations of the given data are

21, 20, 13, 15, 10, 20, 15, 21, 18, 20, 14

i) Mean:-

Given observations of the given data are

21, 20, 13, 15, 10, 20, 15, 21, 18, 20, 14

Sum of all observations =

21+20+13+15+10+20+15+21+18+20+14

=187

Number of observations = 11

We know that

Mean = Sum of all observations/ Number of all observations

=>187/11

=>17

Mean = 17

____________________________________

ii)Range:-

Given observations of the given data are

21, 20, 13, 15, 10, 20, 15, 21, 18, 20, 14

Heighest observation = 21

Lowest observation = 10

we know that

Range = Heighest value-Lowest value

=>Range = 21 - 10

Range = 11

___________________________________

iii)Median:-

Given observations of the given data are

21, 20, 13, 15, 10, 20, 15, 21, 18, 20, 14

On arranging the given data into ascending order

=>10, 13, 14, 15, 15, 18, 20, 20, 20, 21, 21

Number of observations = 11

11 is an odd number

we know that

Median of the given data when number of observations "n" is an odd is (n+1)/2 th observation

=>Median = (11+1)/2 th observation

=>Median = 12/2 = 6 th observation

6th observation = 18

Median = 18

___________________________________

iv) Mode:-

Given observations of the given data are

21, 20, 13, 15, 10, 20, 15, 21, 18, 20, 14

On arranging the given data into ascending order

=>10, 13, 14, 15, 15, 18, 20, 20, 20, 21, 21

20 occurs 3 times

21 occurs 2 times

15 occurs 2 times

10,13,14 occur 1 time each

Mode = 20

___________________________________

Answer:-

Mean = 17

Range = 11

Median = 18

Mode = 20

Used formulae:-

• Mean = Sum of all observations/ Number of all observations

• Median is the middle term when it is arranged in either ascending order or descending order

• Median of the given data when number of observations "n" is an odd is (n+1)/2 th observation

• Mode is the most frequently occuring observation in the given data.