NCERT Class XI Mathematics - Statistics - Solutions
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Question : 27
Total: 34
The sum and sum of squares corresponding to length x (in cm) and weight y (in gm) of 50 plant products are given below :
x i
x i 2
y i
y j 2
Which is more varying, the length or weight?
Which is more varying, the length or weight?
Solution:
We have ,
x i
x i 2
Now,
σ x 2
(
) 2
= 18.056 – 17.978 = 0.078
∴σ x √ 0.078
Also,
y i
y j 2
σ y 2
(
) 2
∴σ y √ 1.904
C.V. of length (x) =
C.V. of weight (y) =
Since C.V. of weight > C.V. of length
Thus weight have more variability than length.
Now,
= 18.056 – 17.978 = 0.078
∴
Also,
∴
C.V. of length (x) =
C.V. of weight (y) =
Since C.V. of weight > C.V. of length
Thus weight have more variability than length.
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