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(A) To find the mean,we first calculate the class mark $(x_i)$ for each class interval using the formula: $x_i = \frac{	ext{Lower Limit} + 	ext{Uppe

Vedclass · Accepted Answer

$35$

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(A) To find the mean,we first calculate the class mark $(x_i)$ for each class interval using the formula: $x_i = \frac{	ext{Lower Limit} + 	ext{Upper Limit}}{2}$.						Marks			Class marks $(x_i)$			Frequency $(f_i)$			$f_i x_i$							$10-20$			$15$			$2$			$30$							$20-30$			$25$			$4$			$100$							$30-40$			$35$			$7$			$245$							$40-50$			$45$			$6$			$270$							$50-60$			$55$			$1$			$55$							Total			-			$\Sigma f_i = 20$			$\Sigma f_i x_i = 700$			The mean $(\bar{x})$ is calculated as: $\bar{x} = \frac{\Sigma f_i x_i}{\Sigma f_i} = \frac{700}{20} = 35$.Thus,the mean score of the $20$ students is $35$.

Daily expenditure (in $Rs.$)	$100-150$	$150-200$	$200-250$	$250-300$	$300-350$
Number of households	$4$	$5$	$12$	$2$	$2$

Calculate the mean of the scores of $20$ students in a mathematics test:

Marks $10-20$ $20-30$ $30-40$ $40-50$ $50-60$

Number of students $2$ $4$ $7$ $6$ $1$

Similar Questions

The table below shows the daily expenditure on food of $25$ households in a locality.
Daily expenditure (in $Rs.$) $100-150$ $150-200$ $200-250$ $250-300$ $300-350$
Number of households $4$ $5$ $12$ $2$ $2$

Find the mean daily expenditure on food by a suitable method.

In the formula $\bar{x} = a + \frac{\sum f_{i} d_{i}}{\sum f_{i}}$ for finding the mean of grouped data,$d_{i}$ are deviations from $a$ of:

For a given frequency distribution,$n=100, A=15$ and $\bar{x}=15$. Then,$\Sigma f_{i} d_{i} = \ldots$

The mean of $15$ observations is $25$. Later on,it was found that one observation was taken by mistake as $20$ instead of $50$. Then,the correct mean is:

In the formula $\bar{x} = A + \frac{\Sigma f_{i} d_{i}}{\Sigma f_{i}}$,$d_{i} =$ .........

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Marks	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Number of students	$2$	$4$	$7$	$6$	$1$

Calculate the mean of the scores of $20$ students in a mathematics test: Marks $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ Number of students $2$ $4$ $7$ $6$ $1$