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Question
In a basket there are 10 tomatoes. The weight of each of these tomatoes in grams is as follows:
60, 70, 90, 95, 50, 65, 70, 80, 85, 95.
Find the median of the weights of tomatoes.
Solution
The weight of 10 tomatoes in a basket in grams in ascending order is as follows:
50, 60, 65, 70, 70, 80, 85, 90, 95, 95
Since, the number of observations is 10, which is even.
So, median
= `1/2 xx [(10 / 2)^"th" "observation" + ( 10/2 +1)^"th" "observation"]`
= `1/2 xx [5^"th" "observation" + ( 5 + 1)^"th" "observation"]`
= `1/2 xx [5^"th" "observation" + 6^"th" "observation"]`
= `1/2 xx [70 +80]`
= `150/2`
= 75
The median of the weights of tomatoes is 75 grams.
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