Question

distance in kilometre from the residence of 32 students to the school is given below:
5,6,8,2,10,4,5,12,7,4,8,4,3,1,7,9,8,6,4,3,5,6,8,5,4,7,8,9,4,3,7,2 constructing a frequency distribution table.
(1)How many students stay within a radius of 5 km from school?
(2) How many stay at a distance more than 10 km?​

Answer 1

Given : Distance (in km) from the residence of 32 students to the school

5 , 6 , 8 , 2 , 10 , 4 , 5 , 12 , 7 , 4 , 8 , 4 , 3 , 1 , 7 , 9 , 8 , 6 , 4 , 3 , 5 , 6 , 8 ,

5 , 4 , 7 , 8 , 9 , 4 , 3 , 7 , 2

To Find : Construct a frequency distribution table

(i) How many students stay within a radius of 5 km from school?

(ii) How many stay at a distance more than 10 km?​

Solution:

frequency distribution table.​

Distance    Tally Marks          frequency

1                      |                              1

2                     ||                             2

3                    |||                             3    

4                    $\setlength{\unitlength}{0.5cm} \begin{picture}(4,4) \multiput(2, 1)(0.2, 0){4}{\line(0, 1){0.5}} \put(1.8, 1){\line(2, 1){1}} \end{picture}$ |                         6

5                   ||||                             4

6                   |||                             3

7                    ||||                             4

8                   $\setlength{\unitlength}{0.5cm} \begin{picture}(4,4) \multiput(2, 1)(0.2, 0){4}{\line(0, 1){0.5}} \put(1.8, 1){\line(2, 1){1}} \end{picture}$                          5      

9                   ||                              2

10                 |                                1

12                 |                                1

students stay within a radius of 5 km from school

= 1 + 2 + 3 + 6 + 4

= 16

1 student  a distance more than 10 km

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Answer 2

Step-by-step explanation:

Given : Distance (in km) from the residence of 32 students to the school

5 , 6 , 8 , 2 , 10 , 4 , 5 , 12 , 7 , 4 , 8 , 4 , 3 , 1 , 7 , 9 , 8 , 6 , 4 , 3 , 5 , 6 , 8 ,

5 , 4 , 7 , 8 , 9 , 4 , 3 , 7 , 2

To Find : Construct a frequency distribution table

(i) How many students stay within a radius of 5 km from school?

(ii) How many stay at a distance more than 10 km?

Solution:

frequency distribution table.

Distance Tally Marks frequency

1 | 1

2 || 2

3 ||| 3

4 \setlength{\unitlength}{0.5cm} \begin{picture}(4,4) \multiput(2, 1)(0.2, 0){4}{\line(0, 1){0.5}} \put(1.8, 1){\line(2, 1){1}} \end{picture} | 6

5 |||| 4

6 ||| 3

7 |||| 4

8 \setlength{\unitlength}{0.5cm} \begin{picture}(4,4) \multiput(2, 1)(0.2, 0){4}{\line(0, 1){0.5}} \put(1.8, 1){\line(2, 1){1}} \end{picture} 5

9 || 2

10 | 1

12 | 1

students stay within a radius of 5 km from school

= 1 + 2 + 3 + 6 + 4

= 16

1 student a distance more than 10 km

Learn more:

Frequency polygon Weight of childrens (kg) 18-19 , 19-20, 20-21, 21 ...

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prepare(1) a histogram and (2) frequency polygon based on the ...

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