find mean median mode if frequency is 8,16,36,34,6 and class inter 0-10,10-20-,30-40,40-50
Answers
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Answer:
Step-by-step explanation:
In Mean,
First make a table to show this data:
Class Interval class mark frequency
_____________________________
0-10 10/10*5=5 8
10-5=5
_____________________________
10-20 20-5=15 16
_____________________________
20-30 30-5=25 36
_____________________________
30-40 40-5=35 34
_____________________________
40-50 50-5=45 6
-------------------------------------------------------
Now take, class mark as x i
frequency as f i
Then take sum of fi then multiply xi and fi
Then,
Make sum total of fi and xifi
Then,
Put the value of fi and xifi in below equation
_ n
X= sigma xifi
i=0
--------------
n
sigma fi
i=0
Then you find mean.
In Mode,
Now arrange the data in ascending order,
6,8,16,34,36
So every obeservation have frequency 1
So, no mode
In Median,
We have arranged data,
6,8,16,34,36
n=5 (it's a odd)
So,
Median= (n+1/2)th term
= 5+1/2
= 6/2=3th term
Now, the median is 16
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