Calculate the mean of the following frequency | vedclass

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

Vedclass · Accepted Answer

$31.4$

Vedclass · Answer

(A) To calculate the mean,we first find the class mark $(x_i)$ for each class interval using the formula: $x_i = \frac{	ext{Lower limit} + 	ext{Upper limit}}{2}$.$1$. For $10-20$: $x_1 = \frac{10+20}{2} = 15$$2$. For $20-30$: $x_2 = \frac{20+30}{2} = 25$$3$. For $30-40$: $x_3 = \frac{30+40}{2} = 35$$4$. For $40-50$: $x_4 = \frac{40+50}{2} = 45$$5$. For $50-60$: $x_5 = \frac{50+60}{2} = 55$Now,calculate $f_i x_i$ for each class:- $12 	imes 15 = 180$- $16 	imes 25 = 400$- $8 	imes 35 = 280$- $6 	imes 45 = 270$- $8 	imes 55 = 440$Sum of frequencies $(\sum f_i)$: $12 + 16 + 8 + 6 + 8 = 50$.Sum of products $(\sum f_i x_i)$: $180 + 400 + 280 + 270 + 440 = 1570$.Mean $(\bar{x})$ = $\frac{\sum f_i x_i}{\sum f_i} = \frac{1570}{50} = 31.4$.

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

Class	$5-10$	$10-15$	$15-20$	$20-25$	$25-30$	$30-35$
Frequency	$11$	$20$	$35$	$20$	$8$	$6$

Class	$4-8$	$8-12$	$12-16$	$16-20$	$20-24$	$24-28$
Frequency	$9$	$8$	$12$	$7$	$15$	$1$

Class	$0-30$	$30-60$	$60-90$	$90-120$	$120-150$	$150-180$
Frequency	$8$	$15$	$16$	$20$	$12$	$9$

Marks	$30-35$	$35-40$	$40-45$	$45-50$	$50-55$	$55-60$	$60-65$
Frequency	$14$	$16$	$18$	$23$	$18$	$8$	$3$

Calculate the mean of the following frequency distribution:

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

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

Similar Questions

Find the mean,median and mode of the following frequency distribution:

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Marks $30-35$ $35-40$ $40-45$ $45-50$ $50-55$ $55-60$ $60-65$

Frequency $14$ $16$ $18$ $23$ $18$ $8$ $3$

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Find the mean of the following frequency distribution:

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

(in $.675$)

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

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

Similar Questions

Find the mean,median and mode of the following frequency distribution: Class $5-10$ $10-15$ $15-20$ $20-25$ $25-30$ $30-35$ Frequency $11$ $20$ $35$ $20$ $8$ $6$

The modal class of the following frequency distribution is ........Class$4-8$$8-12$$12-16$$16-20$$20-24$$24-28$Frequency$9$$8$$12$$7$$15$$1$

Find the mean,median and mode of the following frequency distribution: Class $0-30$ $30-60$ $60-90$ $90-120$ $120-150$ $150-180$ Frequency $8$ $15$ $16$ $20$ $12$ $9$

The percentage of marks obtained by $100$ students in an examination are given below: Marks $30-35$ $35-40$ $40-45$ $45-50$ $50-55$ $55-60$ $60-65$ Frequency $14$ $16$ $18$ $23$ $18$ $8$ $3$ Determine the median percentage of marks.

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 $.675$)