(B) The initial sum of $15$ observations is given by $\Sigma x_{i} = n \times \bar{x} = 15 \times 25 = 375$.The corrected sum is calculated by adding

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(B) The initial sum of $15$ observations is given by $\Sigma x_{i} = n \times \bar{x} = 15 \times 25 = 375$.The corrected sum is calculated by adding the correct value and subtracting the incorrect value: $\text{Corrected } \Sigma x_{i} = 375 + 50 - 20 = 405$.The correct mean is the corrected sum divided by the total number of observations: $\text{Correct mean} = \frac{405}{15} = 27$.

Class 10 Mathematics Statistics Mean of Grouped Data

Medium

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:

A
$20$
B
$27$
C
$28$
D
$30$

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Class 10

Mathematics Questions

Chapter

Statistics

Subtopic

Mean of Grouped Data

The mean of the following data is $16.$ Find the missing frequency $f.$

Class $0-4$ $4-8$ $8-12$ $12-16$ $16-20$ $20-24$ $24-28$ $28-32$ $32-36$

Frequency $6$ $8$ $17$ $23$ $16$ $15$ $f$ $4$ $3$

Difficult

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For a given frequency distribution,$\bar{x}=54.3, \Sigma f_{i} u_{i}=2, n=25$ and $c=10$. Then the assumed mean $A = \dots$

Medium

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Calculate the mean of the following frequency distribution:

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

Frequency $12$ $16$ $8$ $6$ $8$

Medium

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Find the mean of the following frequency distribution:

Class $21-25$ $26-30$ $31-35$ $36-40$ $41-45$ $46-50$ $51-55$

Frequency $18$ $32$ $30$ $40$ $25$ $15$ $40$

(in $.675$)

Easy

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Find the mean of the following data:

Class $200-299$ $300-399$ $400-499$ $500-599$ $600-699$ $700-799$ $800-899$

Frequency $3$ $61$ $118$ $139$ $126$ $151$ $2$

Medium

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Class	$0-4$	$4-8$	$8-12$	$12-16$	$16-20$	$20-24$	$24-28$	$28-32$	$32-36$
Frequency	$6$	$8$	$17$	$23$	$16$	$15$	$f$	$4$	$3$

Class	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Frequency	$12$	$16$	$8$	$6$	$8$

Class	$21-25$	$26-30$	$31-35$	$36-40$	$41-45$	$46-50$	$51-55$
Frequency	$18$	$32$	$30$	$40$	$25$	$15$	$40$

Class	$200-299$	$300-399$	$400-499$	$500-599$	$600-699$	$700-799$	$800-899$
Frequency	$3$	$61$	$118$	$139$	$126$	$151$	$2$

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:

Similar Questions

The mean of the following data is $16.$ Find the missing frequency $f.$ Class $0-4$ $4-8$ $8-12$ $12-16$ $16-20$ $20-24$ $24-28$ $28-32$ $32-36$ Frequency $6$ $8$ $17$ $23$ $16$ $15$ $f$ $4$ $3$

For a given frequency distribution,$\bar{x}=54.3, \Sigma f_{i} u_{i}=2, n=25$ and $c=10$. Then the assumed mean $A = \dots$

Calculate the mean of the following frequency distribution: Class $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ Frequency $12$ $16$ $8$ $6$ $8$

Find the mean of the following frequency distribution: Class $21-25$ $26-30$ $31-35$ $36-40$ $41-45$ $46-50$ $51-55$ Frequency $18$ $32$ $30$ $40$ $25$ $15$ $40$ (in $.675$)

Find the mean of the following data: Class $200-299$ $300-399$ $400-499$ $500-599$ $600-699$ $700-799$ $800-899$ Frequency $3$ $61$ $118$ $139$ $126$ $151$ $2$

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The mean of the following data is $16.$ Find the missing frequency $f.$

Class $0-4$ $4-8$ $8-12$ $12-16$ $16-20$ $20-24$ $24-28$ $28-32$ $32-36$

Frequency $6$ $8$ $17$ $23$ $16$ $15$ $f$ $4$ $3$

Calculate the mean of the following frequency distribution:

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

Frequency $12$ $16$ $8$ $6$ $8$

Find the mean of the following frequency distribution:

Class $21-25$ $26-30$ $31-35$ $36-40$ $41-45$ $46-50$ $51-55$

Frequency $18$ $32$ $30$ $40$ $25$ $15$ $40$

(in $.675$)

Find the mean of the following data:

Class $200-299$ $300-399$ $400-499$ $500-599$ $600-699$ $700-799$ $800-899$

Frequency $3$ $61$ $118$ $139$ $126$ $151$ $2$