(A) The sum of $5$ observations is given by $\Sigma x_{i} = n \times \bar{x} = 5 \times 16 = 80$.When the observation $5$ is replaced by $-5$,the corr

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(A) The sum of $5$ observations is given by $\Sigma x_{i} = n \times \bar{x} = 5 \times 16 = 80$.When the observation $5$ is replaced by $-5$,the corrected sum of observations is $\Sigma x_{i}' = 80 - 5 + (-5) = 80 - 10 = 70$.The new mean is calculated as $\text{New Mean} = \frac{\text{Corrected } \Sigma x_{i}}{n} = \frac{70}{5} = 14$.

Class 10 Mathematics Statistics Mix Examples - Statistics

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The mean of $5$ observations is $16$. If an observation $5$ is replaced by $-5$,the new mean is ...........

A
$14$
B
$15$
C
$17$
D
$18$

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Class 10

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Mix Examples - Statistics

If the mean of $12, 13, x, 17, 18$ and $20$ is $16,$ then $x = \ldots \ldots \ldots \ldots .$

Medium

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If $Z = 36.8$ and $M = 33.6$,then $\bar{x} = \ldots \ldots \ldots \ldots .$

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For some given data,if $Z - M = 2$ and $\bar{x} = 33.5$,then $Z = \ldots \ldots \ldots$ (in $.5$)

Easy

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The formula $\ldots \ldots$ represents the empirical relationship between the measures of central tendency.

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The median class in the following frequency distribution is ..........

Class $20-25$ $25-30$ $30-35$ $35-40$ $40-45$ $45-50$ $50-55$

Frequency $2$ $5$ $8$ $10$ $7$ $10$ $3$

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Class	$20-25$	$25-30$	$30-35$	$35-40$	$40-45$	$45-50$	$50-55$
Frequency	$2$	$5$	$8$	$10$	$7$	$10$	$3$

The mean of $5$ observations is $16$. If an observation $5$ is replaced by $-5$,the new mean is ...........

Similar Questions

If the mean of $12, 13, x, 17, 18$ and $20$ is $16,$ then $x = \ldots \ldots \ldots \ldots .$

If $Z = 36.8$ and $M = 33.6$,then $\bar{x} = \ldots \ldots \ldots \ldots .$

For some given data,if $Z - M = 2$ and $\bar{x} = 33.5$,then $Z = \ldots \ldots \ldots$ (in $.5$)

The formula $\ldots \ldots$ represents the empirical relationship between the measures of central tendency.

The median class in the following frequency distribution is .......... Class $20-25$ $25-30$ $30-35$ $35-40$ $40-45$ $45-50$ $50-55$ Frequency $2$ $5$ $8$ $10$ $7$ $10$ $3$

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The median class in the following frequency distribution is ..........

Class $20-25$ $25-30$ $30-35$ $35-40$ $40-45$ $45-50$ $50-55$

Frequency $2$ $5$ $8$ $10$ $7$ $10$ $3$