### Data Handling - Solutions 1

CBSE Class –VIII Mathematics

NCERT Solutions

CHAPTER - 5

Data Handling (Ex. 5.1)

NCERT Solutions

CHAPTER - 5

Data Handling (Ex. 5.1)

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.

(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 competitiors 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.

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 competitiors 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.

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 W W G B W W M G G M M W W W W G B M W B G G M W W M M W W W M W B W G M W W W W 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.

W W W G B W W M G G M M W W W W G B M W B G G M W W M M W W W M W B W G M W W W W 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:

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

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.

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:

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?

(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.

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

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.