The median of the following data is 50. Find the values of p and q,if the sum of all the frequencies is 90.
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The median of the following data is 50. Find the values of p and q,if the sum of all the frequencies is 90.
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Given :
The median of the data is 50 and sum of all the frequencies is 90.
To Find :
Find the values of p and q.
Solution :
Marks Frequency cf
20-30 p p
30-40 15 15+p
40-50 25 40+p
50-60 20 60+p
60-70 q 60+p+q
70-80 8 68+p+q
80-90 10 78+p+q
Median = 50
Sum of all frequency = p + 15 + 25 + 20 + q + 8 + 10 = 90
p + q = 90 - 78
p + q = 12
Now we will find the value of p and q by using the formula,
p = 5
∵ p + q = 12
put the value of p
5 + q = 12
q = 12 - 5
q = 7
value of p = 5 and q = 7