What is the mean of the mode, median and range of the following data?
18. 48, 58, 52, 60, 83, 16, 57, 29. 60
48, 66, 71, 48, 38, 65, 77, 55
1. 53 1/2
2. 52 2/3
3. 57
4. 61
Answers
Answer:
please find answer in the given pic
Solution :-
Arranging the data in ascending order :- 16, 18, 29, 38, 48, 48, 48, 52, 55, 57, 58, 60, 60, 65, 66, 71, 77, 83 = Total 18 .
So,
→ Mode = Data which appears highest times = 48 appears 3 times = 48
→ Median = [9th data + 10th data]/2 = [55 + 57]/2 = 112/2 = 56
→ Range = Highest number data - Lowest number data = 83 - 16 = 67
then,
→ Required Mean = (Mode + Median + Range)/3
→ Required Mean = (48 + 56 + 67)/3
→ Required Mean = 171/3
→ Required Mean = 57 (3) (Ans.)
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