Concept explainers
The method of determining the median weight of 51 pumpkin
Answer to Problem 1QQ
Solution:
Arrange the weight of pumpkin in increasing order and find out the weight of pumpkin present in the middle.
Explanation of Solution
Given:
Weight of 51 pumpkin
Formula Used:
Let n be the number of terms in the series in increasing order
Case I:
If n is odd
Case II:
If n is even
Calculation:
Here, we have the weights of 51 pumpkin which are arranged in increasing order. As here n = 51, an odd value.
Thus, the median weight of given pumpkin is
For example, a series is given 9, 7, 6, 10, 12, 3, 5. Then arrangement of series is done in increasing order and it becomes 3, 5, 6, 7, 9, 10, 12.
Now, 7 is the middle value and thus is required the median of the series.
Conclusion:
Hence, after arranging the weight of pumpkin in increasing order, the weight of pumpkin present in the middle is the median weight of the pumpkin.
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