Question 9 The following is the distribution of weights in kg of 40 persons-WineWeight - in - kg - 40-45 - 45-50 - 50-55 - 55-60 - 60-65 - 65-70 - 70-75 - 75-80 1WineWline array Construct a cumulative frequency distribution of the less than type table for the data above-

The cumulative distribution (less than type) table is shown below [ Weight(in kg) amp; Cumulative frequency; Less than 45 ...

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Standard X

Mathematics

Cumulative Frequency Distribution of More Than Type

Question 9 Th...

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Question 9
The following is the distribution of weights (in kg) of 40 persons.
$\begin{matrix} W e i g h t (i n k g) & 40 - 45 & 45 - 50 & 50 - 55 & 55 - 60 & 60 - 65 & 65 - 70 & 70 - 75 & 75 - 80 N u m b e r o f p e r s o n s & 4 & 4 & 13 & 5 & 6 & 5 & 2 & 1 \end{matrix}$
Construct a cumulative frequency distribution (of the less than type) table for the data above.

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Solution

The cumulative distribution (less than type) table is shown below
$\begin{matrix} W e i g h t (i n k g) & C u m u l a t i v e f r e q u e n c y L e s s t h a n 45 & 4 L e s s t h a n 50 & 4 + 4 = 8 L e s s t h a n 55 & 8 + 13 = 21 L e s s t h a n 60 & 21 + 5 = 26 L e s s t h a n 65 & 26 + 6 = 32 L e s s t h a n 70 & 32 + 5 = 37 L e s s t h a n 75 & 37 + 2 = 39 L e s s t h a n 80 & 39 + 1 = 40 \end{matrix}$

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Q. Question 9
The following is the distribution of weights (in kg) of 40 persons.

\begin{matrix} W e i g h t (i n k g) & 40 - 45 & 45 - 50 & 50 - 55 & 55 - 60 & 60 - 65 & 65 - 70 & 70 - 75 & 75 - 80 N u m b e r o f p e r s o n s & 4 & 4 & 13 & 5 & 6 & 5 & 2 & 1 \end{matrix}

Construct a cumulative frequency distribution (of the less than type) table for the data above.

Q. The following table shows the distribution of weights of

100

candidates appearing for a competition. Determine the model weight.

Weight $(i n k g)$	$50 - 55$	$55 - 60$	$60 - 65$	$65 - 70$	$70 - 75$	$75 - 80$
Number of candidates	$13$	$18$	$45$	$16$	$06$	$02$

The distribution below gives the weights of $30$ students of a class. Find the median weight of the students.

$\begin{matrix} Weight(in Kgs) & 40 - 45 & 45 - 50 & 50 - 55 & 55 - 60 & 60 - 65 & 65 - 70 & 70 - 75 Number of students & 2 & 3 & 8 & 6 & 6 & 3 & 2 \end{matrix}$

Q. The distribution below gives the weight of 30 students in a class. Find the median weight of students:

Weight (in kg):	40−45	45−50	50−55	55−60	60−65	65−70	70−75
No. of students:	2	3	8	6	6	3	2

Q. The distribution below gives the weights of 30 students of a class. Find the median weight of the students.

\begin{matrix} W e i g h t (i n k g) & 40 - 45 & 45 - 50 & 50 - 55 & 55 - 60 & 60 - 65 & 65 - 70 & 70 - 75 N u m b e r o f s t u d e n t s & 2 & 3 & 8 & 6 & 6 & 3 & 2 \end{matrix}

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Question 9 The following is the distribution of weights (in kg) of 40 persons. Weight (in kg)40−4545−5050−5555−6060−6565−7070−7575−80Number of persons441356521 Construct a cumulative frequency distribution (of the less than type) table for the data above.

The cumulative distribution (less than type) table is shown below Weight(in kg)Cumulative frequencyLess than 454Less than 504+4=8Less than 558+13=21Less than 6021+5=26Less than 6526+6=32Less than 7032+5=37Less than 7537+2=39Less than 8039+1=40