Thirty women were examined in a hospital by a | vedclass

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(C) To find the class mark $(x_i)$ of each interval,the following formula is used:$x_i = \frac{	ext{Upper class limit} + 	ext{Lower class limit}}{2}

Vedclass · Accepted Answer

$75.9$

Vedclass · Answer

(C) To find the class mark $(x_i)$ of each interval,the following formula is used:$x_i = \frac{	ext{Upper class limit} + 	ext{Lower class limit}}{2}$The class size $(h)$ of this data is $3$.Taking $75.5$ as the assumed mean $(a)$,we calculate $d_i, u_i,$ and $f_i u_i$ as follows:Number of heartbeats per minuteNumber of women $(f_i)$$x_i$$d_i = x_i - 75.5$$u_i = \frac{d_i}{3}$$f_i u_i$$65$-$68$$2$$66.5$-$9$-$3$-$6$$68$-$71$$4$$69.5$-$6$-$2$-$8$$71$-$74$$3$$72.5$-$3$-$1$-$3$$74$-$77$$8$$75.5$$0$$0$$0$$77$-$80$$7$$78.5$$3$$1$$7$$80$-$83$$4$$81.5$$6$$2$$8$$83$-$86$$2$$84.5$$9$$3$$6$Total$30$---$4$From the table,we have $\sum f_i = 30$ and $\sum f_i u_i = 4$.The mean $\bar{x}$ is calculated using the step-deviation method:$\bar{x} = a + \left( \frac{\sum f_i u_i}{\sum f_i} ight) 	imes h$$\bar{x} = 75.5 + \left( \frac{4}{30} ight) 	imes 3$$\bar{x} = 75.5 + 0.4 = 75.9$Therefore,the mean heartbeats per minute for these women is $75.9$.

Runs scored	Number of batsmen
$3000-4000$	$4$
$4000-5000$	$18$
$5000-6000$	$9$
$6000-7000$	$7$
$7000-8000$	$6$
$8000-9000$	$3$
$9000-10000$	$1$
$10000-11000$	$1$

Age (in years)	$5$-$15$	$15$-$25$	$25$-$35$	$35$-$45$	$45$-$55$	$55$-$65$
Number of patients	$6$	$11$	$21$	$23$	$14$	$5$

Class interval	Frequency
$0-10$	$5$
$10-20$	$x$
$20-30$	$20$
$30-40$	$15$
$40-50$	$y$
$50-60$	$5$
Total	$60$

Age (in years)	Number of policy holders
Below $20$	$2$
Below $25$	$6$
Below $30$	$24$
Below $35$	$45$
Below $40$	$78$
Below $45$	$89$
Below $50$	$92$
Below $55$	$98$
Below $60$	$100$

Similar Questions

The wickets taken by a bowler in $10$ cricket matches are as follows:
$2, 6, 4, 5, 0, 2, 1, 3, 2, 3$
Find the mode of the data.

If the median of the distribution given below is $28.5,$ find the values of $x$ and $y$.
Class interval Frequency
$0-10$ $5$
$10-20$ $x$
$20-30$ $20$
$30-40$ $15$
$40-50$ $y$
$50-60$ $5$
Total $60$

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Number of heartbeats per minute	$65$-$68$	$68$-$71$	$71$-$74$	$74$-$77$	$77$-$80$	$80$-$83$	$83$-$86$
Number of women	$2$	$4$	$3$	$8$	$7$	$4$	$2$

Similar Questions

The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.Runs scoredNumber of batsmen$3000-4000$$4$$4000-5000$$18$$5000-6000$$9$$6000-7000$$7$$7000-8000$$6$$8000-9000$$3$$9000-10000$$1$$10000-11000$$1$Find the mode of the data.

The wickets taken by a bowler in $10$ cricket matches are as follows:$2, 6, 4, 5, 0, 2, 1, 3, 2, 3$Find the mode of the data.

If the median of the distribution given below is $28.5,$ find the values of $x$ and $y$.Class intervalFrequency$0-10$$5$$10-20$$x$$20-30$$20$$30-40$$15$$40-50$$y$$50-60$$5$Total$60$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

The wickets taken by a bowler in $10$ cricket matches are as follows:
$2, 6, 4, 5, 0, 2, 1, 3, 2, 3$
Find the mode of the data.

If the median of the distribution given below is $28.5,$ find the values of $x$ and $y$.
Class interval Frequency
$0-10$ $5$
$10-20$ $x$
$20-30$ $20$
$30-40$ $15$
$40-50$ $y$
$50-60$ $5$
Total $60$