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

Class	$20-25$	$25-30$	$30-35$	$35-40$	$40-45$	$45-50$	$50-55$
Frequency	$2$	$5$	$8$	$10$	$7$	$10$	$3$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Frequency	$4$	$5$	$9$	$10$	$14$	$8$

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

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