Find the median of the following frequency di | vedclass

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(B) 						Class			Frequency $(f)$			Cumulative frequency $(cf)$							$5-10$			$5$			$5$							$10-15$			$6$			$11$							$15-20$			$15$			$26$

Vedclass · Accepted Answer

$19.5$

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(B) 						Class			Frequency $(f)$			Cumulative frequency $(cf)$							$5-10$			$5$			$5$							$10-15$			$6$			$11$							$15-20$			$15$			$26$							$20-25$			$10$			$36$							$25-30$			$5$			$41$							$30-35$			$4$			$45$							$35-40$			$2$			$47$							$40-45$			$2$			$49$			Here,the total frequency $n = 49$.$	herefore \frac{n}{2} = \frac{49}{2} = 24.5$.The cumulative frequency just greater than $24.5$ is $26$,which corresponds to the class interval $15-20$.Therefore,the median class is $15-20$.Here,$l = 15$ (lower limit of median class),$cf = 11$ (cumulative frequency of the class preceding the median class),$f = 15$ (frequency of the median class),and $h = 5$ (class size).Using the median formula: $M = l + \left( \frac{\frac{n}{2} - cf}{f} ight) 	imes h$$M = 15 + \left( \frac{24.5 - 11}{15} ight) 	imes 5$$M = 15 + \left( \frac{13.5}{15} ight) 	imes 5$$M = 15 + \frac{13.5}{3} = 15 + 4.5 = 19.5$.Thus,the median of the given frequency distribution is $19.5$.

Speed $(km/h)$	$85-100$	$100-115$	$115-130$	$130-145$
Number of players	$11$	$9$	$8$	$5$

Class	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$12$	$30$	$x$	$65$	$y$	$25$	$18$

Class	$65-85$	$85-105$	$105-125$	$125-145$	$145-165$	$165-185$	$185-205$
Frequency	$4$	$5$	$13$	$20$	$14$	$8$	$4$

Find the median of the following frequency distribution:

Class $5-10$ $10-15$ $15-20$ $20-25$ $25-30$ $30-35$ $35-40$ $40-45$

Frequency $5$ $6$ $15$ $10$ $5$ $4$ $2$ $2$

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Find the median of the following frequency distribution:

Class $30-35$ $35-40$ $40-45$ $45-50$ $50-55$ $55-60$ $60-65$ $65-70$ $70-75$

Frequency $1$ $2$ $5$ $10$ $17$ $15$ $9$ $5$ $3$

The maximum bowling speeds,in $km/h$,of $33$ players at a cricket coaching centre are given as follows:

Speed $(km/h)$ $85-100$ $100-115$ $115-130$ $130-145$

Number of players $11$ $9$ $8$ $5$

Calculate the median bowling speed (in $km/h$).

For a given frequency distribution,the cumulative frequency of the fourth class is $25$ and the frequency of the fourth class is $10$. Then,the cumulative frequency of the third class is ...............

The median of the following frequency distribution is $46$ and the total frequency is $230$. Find the missing frequencies $x$ and $y$.

Class $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$

Frequency $12$ $30$ $x$ $65$ $y$ $25$ $18$

Find the median of the following frequency distribution:

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

Frequency $4$ $5$ $13$ $20$ $14$ $8$ $4$

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Class	$5-10$	$10-15$	$15-20$	$20-25$	$25-30$	$30-35$	$35-40$	$40-45$
Frequency	$5$	$6$	$15$	$10$	$5$	$4$	$2$	$2$

Find the median of the following frequency distribution: Class $5-10$ $10-15$ $15-20$ $20-25$ $25-30$ $30-35$ $35-40$ $40-45$ Frequency $5$ $6$ $15$ $10$ $5$ $4$ $2$ $2$