find mean ,median, mode 4,6,7,9,5,21,8,76
Answers
Answer:mean=17
Median=7
Mode=0
Step-by-step explanation:
Step-by-step explanation:
Given:-
4,6,7,9,5,21,8,76
To find :-
Find mean ,median, mode ?
Solution:-
Mean :-
Given observations are :4,6,7,9,5,21,8,76
Sum of the observations
= 4+6+7+9+5+21+8+76
= 136
Number of observations = 8
We know that
Mean = Sum of the observations/ Number of all observations
=> Mean = 136/8
=> Mean = 17
Therefore , Mean = 17
Median :-
Given observations are :4,6,7,9,5,21,8,76
On writing them into ascending order
=> 4,5,6,7,8,9,21,76
Number of observations = 8
8 is an even number
We know that
If the number of observations is 'n', an even number then the median of the given data is
The average of (n/2) th and (n/2)+1th observations
n/2 th observation = 8/2 = 4th observation = 7
(n/2)+1th observations = 5th observation = 8
Median = Average of 4th and 5th observations
=>Median = (7+8)/2
=> Median = 15/2
=> Median = 7.5
Therefore, Median = 7.5
Mode :-
Given observations are :4,6,7,9,5,21,8,76
On writing them into ascending order
=> 4,5,6,7,8,9,21,76
No number occurs more than one time
So, There is no mode for the given data
Therefore, Mode = No
Answer :-
Mean for the given data = 17
Median for the given data = 7.5
Mode for the given data = No
Used formulae:-
- Mean = Sum of the observations/ Number of all observations
- If the number of observations is 'n', an even number then the median of the given data isThe average of (n/2) th and (n/2)+1th observations
- The most frequent occuring observation of the given data is called the mode.