(B) To find the mean,we use the formula $\bar{x} = \frac{\sum f_i x_i}{\sum f_i}$,where $x_i$ is the class mark.$1$. Calculate class marks $(x_i)$: $1

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(B) To find the mean,we use the formula $\bar{x} = \frac{\sum f_i x_i}{\sum f_i}$,where $x_i$ is the class mark.$1$. Calculate class marks $(x_i)$: $15, 25, 35, 45, 55, 65$.$2$. Calculate $f_i x_i$:$2 \times 15 = 30$$10 \times 25 = 250$$40 \times 35 = 1400$$25 \times 45 = 1125$$13 \times 55 = 715$$10 \times 65 = 650$$3$. Sum of frequencies $(\sum f_i)$: $2 + 10 + 40 + 25 + 13 + 10 = 100$.$4$. Sum of products $(\sum f_i x_i)$: $30 + 250 + 1400 + 1125 + 715 + 650 = 4170$.$5$. Mean $(\bar{x})$: $\frac{4170}{100} = 41.7$.

Class 10 Mathematics Statistics Mix Examples - Statistics

Medium

Find the mean of the following frequency distribution:

Class $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$

Frequency $2$ $10$ $40$ $25$ $13$ $10$

(in $.7$)

A
$45$
B
$41$
C
$47$
D
$31$

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Class 10

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Statistics

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Mix Examples - Statistics

For a given frequency distribution,$\Sigma f_{i} u_{i} = -13$,$n = \Sigma f_{i} = 100$,$A = 62.5$ and $c = 15$. Then,mean $\bar{x} = \dots$

Easy

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An aircraft has $120$ passenger seats. The number of seats occupied during $100$ flights is given in the following table:

Number of seats $100-104$ $104-108$ $108-112$ $112-116$ $116-120$

Frequency $15$ $20$ $32$ $18$ $15$

Determine the mean number of seats occupied over the flights. (in $.92$)

Medium

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Calculate the mean of the frequency distribution of the marks scored by $100$ students in a mathematics test:

Marks $0-10$ $10-20$ $20-30$ $30-40$ $40-50$

No. of students $20$ $10$ $20$ $30$ $20$

Medium

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Consider the data:

Class $65-85$ $85-105$ $105-125$ $125-145$ $145-165$ $165-185$ $185-205$

Frequency $4$ $5$ $13$ $20$ $14$ $7$ $4$

The difference between the upper limit of the median class and the lower limit of the modal class is:

Medium

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The weight of coffee in $70$ packets is shown in the following table:

Weight (in $g$) Number of packets

$200-201$ $12$

$201-202$ $26$

$202-203$ $20$

$203-204$ $9$

$204-205$ $2$

$205-206$ $1$

Determine the modal weight (in $g$).

Easy

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Class	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$
Frequency	$2$	$10$	$40$	$25$	$13$	$10$

Number of seats	$100-104$	$104-108$	$108-112$	$112-116$	$116-120$
Frequency	$15$	$20$	$32$	$18$	$15$

Marks	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$
No. of students	$20$	$10$	$20$	$30$	$20$

Class	$65-85$	$85-105$	$105-125$	$125-145$	$145-165$	$165-185$	$185-205$
Frequency	$4$	$5$	$13$	$20$	$14$	$7$	$4$

Weight (in $g$)	Number of packets
$200-201$	$12$
$201-202$	$26$
$202-203$	$20$
$203-204$	$9$
$204-205$	$2$
$205-206$	$1$

Find the mean of the following frequency distribution: Class $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ Frequency $2$ $10$ $40$ $25$ $13$ $10$ (in $.7$)

Similar Questions

For a given frequency distribution,$\Sigma f_{i} u_{i} = -13$,$n = \Sigma f_{i} = 100$,$A = 62.5$ and $c = 15$. Then,mean $\bar{x} = \dots$

An aircraft has $120$ passenger seats. The number of seats occupied during $100$ flights is given in the following table: Number of seats $100-104$ $104-108$ $108-112$ $112-116$ $116-120$ Frequency $15$ $20$ $32$ $18$ $15$ Determine the mean number of seats occupied over the flights. (in $.92$)

Calculate the mean of the frequency distribution of the marks scored by $100$ students in a mathematics test: Marks $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ No. of students $20$ $10$ $20$ $30$ $20$

Consider the data: Class $65-85$ $85-105$ $105-125$ $125-145$ $145-165$ $165-185$ $185-205$ Frequency $4$ $5$ $13$ $20$ $14$ $7$ $4$ The difference between the upper limit of the median class and the lower limit of the modal class is:

The weight of coffee in $70$ packets is shown in the following table: Weight (in $g$) Number of packets $200-201$ $12$ $201-202$ $26$ $202-203$ $20$ $203-204$ $9$ $204-205$ $2$ $205-206$ $1$ Determine the modal weight (in $g$).

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Find the mean of the following frequency distribution:

Class $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$

Frequency $2$ $10$ $40$ $25$ $13$ $10$

(in $.7$)

An aircraft has $120$ passenger seats. The number of seats occupied during $100$ flights is given in the following table:

Number of seats $100-104$ $104-108$ $108-112$ $112-116$ $116-120$

Frequency $15$ $20$ $32$ $18$ $15$

Determine the mean number of seats occupied over the flights. (in $.92$)

Calculate the mean of the frequency distribution of the marks scored by $100$ students in a mathematics test:

Marks $0-10$ $10-20$ $20-30$ $30-40$ $40-50$

No. of students $20$ $10$ $20$ $30$ $20$

Consider the data:

Class $65-85$ $85-105$ $105-125$ $125-145$ $145-165$ $165-185$ $185-205$

Frequency $4$ $5$ $13$ $20$ $14$ $7$ $4$

The difference between the upper limit of the median class and the lower limit of the modal class is:

The weight of coffee in $70$ packets is shown in the following table:

Weight (in $g$) Number of packets

$200-201$ $12$

$201-202$ $26$

$202-203$ $20$

$203-204$ $9$

$204-205$ $2$

$205-206$ $1$

Determine the modal weight (in $g$).