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

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

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$2$	$6$	$8$	$16$	$20$	$18$	$16$	$14$

Life time (in hours)	Number of lamps
$1500-2000$	$14$
$2000-2500$	$56$
$2500-3000$	$60$
$3000-3500$	$86$
$3500-4000$	$74$
$4000-4500$	$62$
$4500-5000$	$48$

Class	$10-25$	$25-40$	$40-55$	$55-70$	$70-85$	$85-100$
Frequency	$5$	$21$	$21$	$8$	$25$	$20$

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

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.

Find the median of the following frequency distribution:

Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$

Frequency $2$ $6$ $8$ $16$ $20$ $18$ $16$ $14$

The following table gives the distribution of the lifetime of $400$ neon lamps:
Life time (in hours) Number of lamps
$1500-2000$ $14$
$2000-2500$ $56$
$2500-3000$ $60$
$3000-3500$ $86$
$3500-4000$ $74$
$4000-4500$ $62$
$4500-5000$ $48$

Find the median lifetime of a lamp.

The median class in the following frequency distribution is $\ldots \ldots \ldots \ldots .$

Class $10-25$ $25-40$ $40-55$ $55-70$ $70-85$ $85-100$

Frequency $5$ $21$ $21$ $8$ $25$ $20$

Consider the following frequency distribution:

Class $0-5$ $6-11$ $12-17$ $18-23$ $24-29$

Frequency $13$ $10$ $15$ $8$ $11$

The upper limit of the median class is

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Class	$0-5$	$6-11$	$12-17$	$18-23$	$24-29$
Frequency	$13$	$10$	$15$	$8$	$11$

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

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.

Find the median of the following frequency distribution: Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ Frequency $2$ $6$ $8$ $16$ $20$ $18$ $16$ $14$

The following table gives the distribution of the lifetime of $400$ neon lamps:Life time (in hours)Number of lamps$1500-2000$$14$$2000-2500$$56$$2500-3000$$60$$3000-3500$$86$$3500-4000$$74$$4000-4500$$62$$4500-5000$$48$Find the median lifetime of a lamp.

The median class in the following frequency distribution is $\ldots \ldots \ldots \ldots .$ Class $10-25$ $25-40$ $40-55$ $55-70$ $70-85$ $85-100$ Frequency $5$ $21$ $21$ $8$ $25$ $20$

Consider the following frequency distribution: Class $0-5$ $6-11$ $12-17$ $18-23$ $24-29$ Frequency $13$ $10$ $15$ $8$ $11$ The upper limit of the median class is