24. Find the value of K for following distribution where mean is 16.
Class 10-12 12-14 14-16
18-20
20-22
22-24
fi
12
16
20
24
k
8
4
please give me ans because my board exams is coming... please
Answers
Answer:
The mean is 16 for the value of k = 12.
Step-by-step explanation:
The mean for the following distribution is 16.
Class Mid point ( ) Frequency()
10 - 12 11 12 132
12 - 14 13 16 208
14 - 16 15 20 300
16 - 18 17 24 408
18 - 20 19 k 19k
20 -22 21 8 168
22 - 24 23 4 92
Total: 84 + k 1308 + 19k
The mean is given by
Simplifying the above equation we get 1308 + 19k = 16k + 1344
⇒ 3k = 36
∴ k = 12
The mean is 16 for the value of k = 12.
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