the number of packets of milk sold per day by a shop keeper on seven different days in the month are 20,25,19,16,24,26,17.The variance of this data is______
Answers
Given :- The number of packets of milk sold per day by a shop keeper on seven different days in the month are 20,25,19,16,24,26,17 .
Solution :-
→ Mean of data = (20 + 25 + 19 + 16 + 24 + 26 + 17)/7 = 147/7 = 21
then,
→ sum of difference between mean and given terms = (21 - 20)² + (21 - 25)² + (21 - 19)² + (21 - 16)² + (21 - 24)² + (21 - 26)² + (21 - 17)² = 1 + 16 + 4 + 25 + 9 + 25 + 16 = 96 .
therefore,
→ variance = sum of difference between mean and given terms / N - 1
→ variance = 96/(7 - 1)
→ variance = 96/6
→ variance = 16
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Answer:
Awnser of the question is --- 13.71