The sum and sum of squares corresponding to length x in cm and weight y in gm of 50 plant products are given below-i-150 x i-212- -i-150 x i2-902-8- -i-150 yi-261- -i-150 yi2-1457-6Which is more varying- the length or weight-

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Standard XI

Mathematics

Median

The sum and s...

Question

The sum and sum of squares corresponding to length x (in cm) and weight y

(in gm) of 50 plant products are given below:

Which is more varying, the length or weight?

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Solution

Here, N = 50

∴ Mean,

Mean,

Thus, C.V. of weights is greater than the C.V. of lengths. Therefore, weights vary more than the lengths.

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The sum and sum of squares corresponding to length x (in cm) and weight y

(in gm) of 50 plant products are given below:

Which is more varying, the length or weight?

Fidnthe coefficient of variation for the following frequency distribution.

$\begin{matrix} Clasees & 0 - 30 & 30 - 60 & 60 - 90 & 90 - 120 & 120 - 150 & 150 - 180 & 180 - 210 Frequency & 2 & 3 & 5 & 10 & 3 & 5 & 2 \end{matrix}$

The sum and sum of squared corresponding to length x (in cm) and weight y (in g) of 50 plant products are given below.
$\sum_{i = 1}^{50} x_{i} = 212, \sum_{i = 1}^{50} x_{i} = x_{i}^{2} = 902.8$ and $\sum_{i = 1}^{50} y_{i} = 261$ , and $\sum_{i = 1}^{50} y_{i}^{2} = 1457.6$

Which is more varying, the length or weight?

The sum and the sum of squares of length x (in cm) and weight y (in g) of 50 plant products are given below:

$\sum_{i = 1}^{50} x_{i} = 212, \sum_{i = 1}^{50} x_{i}^{2} = 902.8, \sum_{i = 1}^{50} y_{i} = 261$ and $\sum_{i = 1}^{50} y_{i}^{2} = 1457.6$

Which is more variable, the length or weight?

Q. The sum and sum of squares corresponding to length

X

(in cm ) and weight

y

(in gm) of

50

plant products are given below:

50 \sum i = l X_{i} = 212, 50 \sum i = l X_{i}^{2} = 902.8, 50 \sum i = l y_{i} = 261, 50 \sum i = l y_{i}^{2} = 1457.6

Which is more varying the length or weight ?

Q. The sum and sum of squares corresponding to length x (in cm) and weight y (in gm) of 50 plant products are given below: Which is more varying, the length or weight?

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The sum and sum of squares corresponding to length x (in cm) and weight y (in gm) of 50 plant products are given below: Which is more varying, the length or weight?

Here, N = 50 ∴ Mean, Mean, Thus, C.V. of weights is greater than the C.V. of lengths. Therefore, weights vary more than the lengths.

The sum and sum of squares corresponding to length x (in cm) and weight y

(in gm) of 50 plant products are given below:

Which is more varying, the length or weight?

Here, N = 50

∴ Mean,

Mean,

Thus, C.V. of weights is greater than the C.V. of lengths. Therefore, weights vary more than the lengths.