The following is the distribution of weghts in kg of 52 persons- - Weight in kg Persons- 40-50 10- 50-60 15- 60-70 17- 70-80 6- 80-90 4- - i What is the lower limit of class 50-60- ii Find the class marks of the classes 40-50-50-60- iii What is the class size-

(i) Lower limit of class 50 60=50 (ii) Class marks of 40 50 =40+50/2=90/2 =45 and of 50 60 =50+60/2=110/2=55 (iii)Class size is 10 ...

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Standard VIII

Mathematics

Grouped Frequency Distribution

The following...

Question

The following is the distribution of weghts (in kg) of 52 persons:

$\begin{matrix} Weight in kg & Persons 40 - 50 & 10 50 - 60 & 15 60 - 70 & 17 70 - 80 & 6 80 - 90 & 4 \end{matrix}$

(i) What is the lower limit of class 50-60?

(ii) Find the class marks of the classes 40-50,50-60.

(iii) What is the class size?

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Solution

(i) Lower limit of class 50-60=50

(ii) Class marks of 40-50 $= \frac{40 + 50}{2} = \frac{90}{2}$

=45 and of 50-60 $= \frac{50 + 60}{2} = \frac{110}{2} = 55$

(iii)Class size is 10

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Q. The following is the distribution of weights (in kg) of 52 persons:

Weight in kg	Persons
30-40	10
40-50	15
50-60	17
60-70	6
70-80	4

(i) What is the lower limit of class 50-60?
(ii) Find the class marks of the classes 40-50, 50-60.
(iii) What is the class size?

Q. The marks obtained by 40 students of a class are given below :

80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80, 90,

50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60

, and

60

Construct a frequency distribution table.

Q. The mean of the following distribution is 52 and the frequency of class interval 30 - 40 is 'f'. Find 'f'.

\begin{matrix} C l a s s I n t e r v a l & F r e q u e n c y 10 - 20 & 5 20 - 30 & 3 30 - 40 & f 40 - 50 & 7 50 - 60 & 2 60 - 70 & 6 70 - 80 & 13 \end{matrix}

[4 MARKS]

Q. The following information is regarding marks in English, obtained out of 80.

Find the class mark for the class 60 - 80.

The following table shows the class mark and frequency. Convert the table in the class interval
$\begin{matrix} Class Mark & Frequency 55 & 8 65 & 6 75 & 18 85 & 25 95 & 12 \end{matrix}$

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The following is the distribution of weghts (in kg) of 52 persons: Weight in kgPersons40−501050−601560−701770−80680−904 (i) What is the lower limit of class 50-60? (ii) Find the class marks of the classes 40-50,50-60. (iii) What is the class size?

(i) Lower limit of class 50-60=50 (ii) Class marks of 40-50 =40+502=902 =45 and of 50-60 =50+602=1102=55 (iii)Class size is 10

(i) Lower limit of class 50-60=50

(ii) Class marks of 40-50 $= \frac{40 + 50}{2} = \frac{90}{2}$

=45 and of 50-60 $= \frac{50 + 60}{2} = \frac{110}{2} = 55$

(iii)Class size is 10