Find the mean,median and mode of the followin | vedclass

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(A) $1$. Mean: $\sum f_i = 100$. Mid-points $(x_i)$: $25, 75, 125, 175, 225, 275, 325$. $\sum f_i x_i = 250 + 1125 + 3750 + 3500 + 3375 + 2200 + 650 =

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(A) $1$. Mean: $\sum f_i = 100$. Mid-points $(x_i)$: $25, 75, 125, 175, 225, 275, 325$. $\sum f_i x_i = 250 + 1125 + 3750 + 3500 + 3375 + 2200 + 650 = 14850$. Mean $\bar{x} = \frac{\sum f_i x_i}{\sum f_i} = \frac{14850}{100} = 148.5$.
$2$. Median: $N/2 = 50$. Cumulative frequencies: $10, 25, 55, 75, 90, 98, 100$. Median class is $100-150$. $l=100, cf=25, f=30, h=50$. Median $= l + \left( \frac{N/2 - cf}{f} \right) \times h = 100 + \left( \frac{50-25}{30} \right) \times 50 = 100 + \frac{25 \times 50}{30} = 100 + 41.67 = 141.67$.
$3$. Mode: Modal class is $100-150$ $(f_1=30, f_0=15, f_2=20)$. Mode $= l + \left( \frac{f_1 - f_0}{2f_1 - f_0 - f_2} \right) \times h = 100 + \left( \frac{30-15}{60-15-20} \right) \times 50 = 100 + \left( \frac{15}{25} \right) \times 50 = 100 + 30 = 130$.

Class	$0-50$	$50-100$	$100-150$	$150-200$	$200-250$	$250-300$	$300-350$
Frequency	$10$	$15$	$30$	$20$	$15$	$8$	$2$

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

Daily wages (in $Rs.$)	Number of workers
$100-120$	$10$
$120-140$	$15$
$140-160$	$20$
$160-180$	$22$
$180-200$	$18$
$200-220$	$12$
$220-240$	$13$

Class	$12.5-17.5$	$17.5-22.5$	$22.5-27.5$	$27.5-32.5$	$32.5-37.5$
Frequency	$2$	$22$	$19$	$14$	$13$

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

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

Class $0-50$ $50-100$ $100-150$ $150-200$ $200-250$ $250-300$ $300-350$

Frequency $10$ $15$ $30$ $20$ $15$ $8$ $2$

Similar Questions

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 $20$ $10$ $20$ $30$ $20$

Daily wages of $110$ workers,obtained in a survey,are tabulated below:

Daily wages (in $Rs.$) Number of workers

$100-120$ $10$

$120-140$ $15$

$140-160$ $20$

$160-180$ $22$

$180-200$ $18$

$200-220$ $12$

$220-240$ $13$

Compute the mean daily wages of these workers (in $Rs.$).

Construct the cumulative frequency distribution of the following distribution:

Class $12.5-17.5$ $17.5-22.5$ $22.5-27.5$ $27.5-32.5$ $32.5-37.5$

Frequency $2$ $22$ $19$ $14$ $13$

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.

The mean of the following data is $26.5$ and the total frequency is $60$. Find the missing frequencies $x$ and $y$.
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$
Frequency $6$ $x$ $17$ $y$ $8$

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Find the mean,median and mode of the following frequency distribution: Class $0-50$ $50-100$ $100-150$ $150-200$ $200-250$ $250-300$ $300-350$ Frequency $10$ $15$ $30$ $20$ $15$ $8$ $2$

Similar Questions

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 $20$ $10$ $20$ $30$ $20$

Daily wages of $110$ workers,obtained in a survey,are tabulated below: Daily wages (in $Rs.$) Number of workers $100-120$ $10$ $120-140$ $15$ $140-160$ $20$ $160-180$ $22$ $180-200$ $18$ $200-220$ $12$ $220-240$ $13$ Compute the mean daily wages of these workers (in $Rs.$).

Construct the cumulative frequency distribution of the following distribution: Class $12.5-17.5$ $17.5-22.5$ $22.5-27.5$ $27.5-32.5$ $32.5-37.5$ Frequency $2$ $22$ $19$ $14$ $13$

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.

The mean of the following data is $26.5$ and the total frequency is $60$. Find the missing frequencies $x$ and $y$.Class$0-10$$10-20$$20-30$$30-40$$40-50$Frequency$6$$x$$17$$y$$8$