14. The mean of the following distribution is 50.
x 10 30 T 50
5a +3 32
T 70
7a-11
T
90
17
19
Find the value of a and hence the frequencies of 30 and 70.
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Answer
a =4.83
Step by step
1. Mean =sum of terms /total no. of terms
Mean =50
2. 7a-11+5a+3/14 =50
12a-8 =50
12a =50+8
12a =58
a =58/12
a =4.83
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