Mean of $100$ items is $48$ and their standard deviation is $10$ . Find the sum of all the items.

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Solution

$\Rightarrow$ $¯ ¯ ¯ x = 100$ and $n = 48$
$\Rightarrow$ $¯ ¯ ¯ x = \frac{\sum x_{i}}{n}$
$\Rightarrow$ $100 = \frac{\sum x_{i}}{48}$
$∴$ $\sum x_{i} = 4800$
$∴$ Sum of all the items are $4800$ .

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Mean of 100 items is 48 and their standard deviation is 10. Find the sum of all the items.

⇒ ¯¯¯x=100 and n=48⇒ ¯¯¯x=∑xin⇒ 100=∑xi48∴ ∑xi=4800∴ Sum of all the items are 4800.

Mean of $100$ items is $48$ and their standard deviation is $10$ . Find the sum of all the items.

$\Rightarrow$ $¯ ¯ ¯ x = 100$ and $n = 48$
$\Rightarrow$ $¯ ¯ ¯ x = \frac{\sum x_{i}}{n}$
$\Rightarrow$ $100 = \frac{\sum x_{i}}{48}$
$∴$ $\sum x_{i} = 4800$
$∴$ Sum of all the items are $4800$ .