A grouped frequency table of 50 readings has classes 0-10, 10-20, 20-30, 30-40, 40-50 with frequencies 5, a, 14, b, 7. The frequency of the class 10-20 is twice that of the class 30-40. Find the frequency a of the class 10-20.
Class 8Organising DataData Handling
A32
B16
C17
D15
Step-by-Step Solution
Total = 50, so 5+a+14+b+7=50, giving a+b=24. Since a=2b, we get 2b+b=24, so 3b=24,b=8 and a=2b=16.
Answer: B) 16
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