Fill In The Blanks[1 Marks ]

Question 11 Mark

Fill in the blanks.
If the variance of a data is 121, then the standard deviation of the data is _______.

Answer

If the variance of a data is 121, then the standard deviation of the data is 11.
Solution:
We know that $\text{SD}=\sqrt{\text{variance}}=\sqrt{121}=11$
Hence, the value of the filler is 11

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Question 21 Mark

Fill in the blanks.
The sum of the squares of the deviations of the values of the variable is _______ when taken about their arithmetic mean.

Answer

The sum of the squares of the deviations of the values of the variable is minimum when taken about their arithmetic mean.Solution:
The sum of the squares of the deviations of the values of the variable is minimum when taken about their arithmetic mean.

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Question 31 Mark

Fill in the blanks.
If $\bar{\text{x}}$ is the mean of n values of x, then $\sum\limits^{\text{M}}_{\text{i}=1}(\text{x}_\text{i}-\bar{\text{x}})$ is always equal to _______. If a has any value other than $\bar{\text{x}}$ then $\sum\limits^{\text{n}}_{\text{i}=1}(\text{x}_\text{i}-\bar{\text{x}})^2$ is _______ then $\sum(\text{x}_\text{i}-\text{a})^2$

Answer

If the mean of n values of x, then $\sum\limits^{\text{M}}_{\text{i}=1}(\text{x}_\text{i}-\bar{\text{x}})$ is always equal to 0. If a has any value other than $\bar{\text{x}}$ then $\sum\limits^{\text{n}}_{\text{i}=1}(\text{x}_\text{i}-\bar{\text{x}})^2$ is less than $\sum(\text{x}_\text{i}-\text{a})^2$Solution:
If the mean of n values of x, then $\sum\limits^{\text{M}}_{\text{i}=1}(\text{x}_\text{i}-\bar{\text{x}})$ is always equal to 0. If a has any value other than $\bar{\text{x}}$ then $\sum\limits^{\text{n}}_{\text{i}=1}(\text{x}_\text{i}-\bar{\text{x}})^2$ is less than $\sum(\text{x}_\text{i}-\text{a})^2$

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Question 41 Mark

Fill in the blanks.
The standard deviation is _________ to the mean deviation taken from the arithmetic mean.

Answer

The standard deviation is greater than or equal to the mean deviation taken from the arithmetic mean.Solution:
The standard deviation is greater than or equal to the mean deviation taken from the arithmetic mean.

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Question 51 Mark

Fill in the blanks.
$\text{Cofficient of variation}=\frac{......}{\text{Mean}}\times100$

Answer

$\text{Cofficient of variation}=\frac{\text{SD}}{\text{Mean}}\times100$Solution:
$\text{CV}=\frac{\text{SD}}{\text{Mean}}\times100$ Hence, the value of the filler is SD.

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Question 61 Mark

Fill in the blanks.
The mean deviation of the data is _______ when measured from the median.

Answer

The mean deviation of the data is least when measured from the median.
Solution:
The mean deviation of the data is least when measured from the median.

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Question 71 Mark

Fill in the blanks.
The standard deviation of a data is _________ of any change in orgin, but is _________ on the change of scale.

Answer

The standard deviation of a data is independent of any change in orgin, but is dependent on the change of scale.Solution:
The standard deviation of a data is independent of any change in origin but is dependent of charge of scale.

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MATHS Fill In The Blanks[1 Marks ]

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