NCERT Solutions for Class 8 Maths Exercise 5.1

NCERT Solutions for Class 8 Maths Exercise 5.1 Class 8 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 8 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

NCERT solutions for Class 8 Maths Data Handling Download as PDF

NCERT Solutions for Class 8 Maths Data Handling

Class –VIII Mathematics (Ex. 5.1)

NCERT SOLUTION

1. For which of these would you use a histogram to show the data:

(a) The number of letters for different areas in a postman’s bag.

(b) The height of competitors in an athletics meet.

(c) The number cassettes produced by 5 companies.

(d) The number of passengers boarding trains from 7.00 a.m. to 7.00 p.m. at a station.

Give reason for each.

Ans. Since, Histogram is a graphical representation of data, if data represented in manner of class-interval.

Therefore, for case (b) and (d), we would use a histogram to show the data, because in these cases, data can be divided into class-intervals.

In case (b), a group of competitions having different heights in an athletics meet.

In case (d), the number of passengers boarding trains in an interval of one hour at a station.

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NCERT Solutions for Class 8 Maths Exercise 5.1

2. The shoppers who come to a departmental store are marked as: man (M), woman (W), boy (B) or girl (G). The following list gives the shoppers who came during the first hour in the morning.

W WW G B W W M G G M M W WWW G B M W B G G M W W M M W WW M W B W G M W WWW G W M M W M W G W M G W M M B G G W.

Make a frequency distribution table using tally marks. Draw a bar graph to illustrate it.

Ans. The frequency distribution table is as follows:

The illustration of data by bar-graph is as follows:

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NCERT Solutions for Class 8 Maths Exercise 5.1

3. The weekly wages (in `) of 30 workers in a factory are:

830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840.

Using tally marks, make a frequency table with intervals as 800 – 810, 810 – 820 and so on.

Ans. The representation of data by frequency distribution table using tally marks is as follows:

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NCERT Solutions for Class 8 Maths Exercise 5.1

4. Draw a histogram for the frequency table made for the data in Question 3 and answer the following questions.

(i) How many workers earn ` 850 and more?

(ii) How many workers earn less than ` 850?

Ans. 830 – 840 group has the maximum number of workers.

(i) 10 workers can earn more than ` 850.

(ii) 20 workers earn less than ` 850.

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NCERT Solutions for Class 8 Maths Exercise 5.1

5. The number of hours for which students of a particular class watched television during holidays is shown through the given graph.

We draw the histogram for above frequency table:

Answer the following:

(i) For how many hours did the maximum number of students watch T.V.?

(ii) How many students watched TV for less than 4 hours?

(iii) How many students spent more than 5 hours in watching TV?

Ans. (i) The maximum number of students watched T.V. for 4 – 5 hours.

(ii) 34 students watched T.V. for less than 4 hours.

(iii) 14 students spent more than 5 hours in watching T.V.

NCERT Solutions for Class 8 Maths Exercise 5.1

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