Question

The Turkish Grocer Mehmet sells seedless grapes from France at 4,99 €/kilo. A sample of seven...

The Turkish Grocer Mehmet sells seedless grapes from France at 4,99 €/kilo. A sample of seven bags contained the following numbers of grapes: 46, 35, 52, 34, 42, 48, 44. Compute the mean and median number of grapes in a bag. Verify that ∑(x-x_bar)=0

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Answer #1
Bag No Grapes X - X bar
1 46 3
2 35 -8
3 52 9
4 34 -9
5 42 -1
6 48 5
7 44 1
Total 301 0
Mean = Total Grapes / No of Bags = 301 / 7 = 43

The sum of X - X bar = 0 as shown above..

Bag No Grapes
4 34
2 35
5 42
7 44 Median
1 46
6 48
3 52

The Bags are arranged in increasing order . The bag with the smallest number of grapes is at the top followed by the 2nd smallest and so on.. Now , in this case , there are odd number of Bags, which is 7.. So, the median will be ( n+1)/2 th bag , which is 4th bag. Therefore , the median is 44

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