The maximum bowling speeds,in km/h,of 33 play | vedclass

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(C) Given total number of players $n = 33$.$	herefore \frac{n}{2} = \frac{33}{2} = 16.5$.To find the median class,we look at the cumulative frequenci

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$109.17$

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(C) Given total number of players $n = 33$.$	herefore \frac{n}{2} = \frac{33}{2} = 16.5$.To find the median class,we look at the cumulative frequencies:- $85-100$: $11$- $100-115$: $11 + 9 = 20$Since $16.5$ lies in the cumulative frequency $20$,the median class is $100-115$.Here,lower limit $(l) = 100$,frequency $(f) = 9$,cumulative frequency of the class preceding the median class $(cf) = 11$,and class width $(h) = 15$.Using the median formula:$	ext{Median} = l + \left( \frac{\frac{n}{2} - cf}{f} ight) 	imes h$$= 100 + \left( \frac{16.5 - 11}{9} ight) 	imes 15$$= 100 + \left( \frac{5.5}{9} ight) 	imes 15$$= 100 + \frac{82.5}{9} = 100 + 9.166... \approx 109.17$.Hence,the median bowling speed is $109.17 \, km/h$.

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

Mileage $(km/l)$	$10-12$	$12-14$	$14-16$	$16-18$
Number of cars	$7$	$12$	$18$	$13$

Height (in $cm$)	Frequency	Cumulative frequency
$150-155$	$12$	$a$
$155-160$	$b$	$25$
$160-165$	$10$	$c$
$165-170$	$d$	$43$
$170-175$	$e$	$48$
$175-180$	$2$	$f$
Total	$50$	-

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

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 $km/h$).

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Find the unknown entries $a, b, c, d, e, f$ in the following distribution of heights of students in a class:

Height (in $cm$) Frequency Cumulative frequency

$150-155$ $12$ $a$

$155-160$ $b$ $25$

$160-165$ $10$ $c$

$165-170$ $d$ $43$

$170-175$ $e$ $48$

$175-180$ $2$ $f$

Total $50$ -

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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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 $km/h$).