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	$11$	$9$	$8$	$5$

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

Class	$1-3$	$3-5$	$5-7$	$7-9$	$9-11$
Frequency	$6$	$3$	$8$	$2$	$1$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$
Frequency	$10$	$12$	$13$	$16$	$9$

Income (in $Rs.$)	Number of families
$0-5000$	$8$
$5000-10000$	$26$
$10000-15000$	$41$
$15000-20000$	$16$
$20000-25000$	$3$
$25000-30000$	$3$
$30000-35000$	$2$
$35000-40000$	$1$

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 $km/h$).

Similar Questions

Find the median of the following frequency distribution:

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

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

If $Z=12$ and $M=16,$ then $\bar{x}=$ ............

For the calculation of mode of the following frequency distribution,$f_{0} = \dots \dots \dots \dots \dots$

Class $1-3$ $3-5$ $5-7$ $7-9$ $9-11$

Frequency $6$ $3$ $8$ $2$ $1$

Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$
Frequency $10$ $12$ $13$ $16$ $9$

For the frequency distribution given above,which of the following is false?

The monthly income of $100$ families is given as follows:

Income (in $Rs.$) Number of families

$0-5000$ $8$

$5000-10000$ $26$

$10000-15000$ $41$

$15000-20000$ $16$

$20000-25000$ $3$

$25000-30000$ $3$

$30000-35000$ $2$

$35000-40000$ $1$

Calculate the modal income (in $Rs.$).

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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 $km/h$).