Draw a histogram for the frequency table made for the data in Question 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), and answer the following questions
(i) Which group has the maximum number of workers?
(ii) How many workers earn ₹ 850 and more?
(iii) How many workers earn less than ₹ 850?
Solution:
A histogram can be defined as a set of rectangles with bases along with the intervals between class boundaries. Each rectangle bar depicts some sort of data and all the rectangles are adjacent. It is the graphical representation of data where data is grouped into continuous number ranges and each range corresponds to a vertical bar.
The histogram is drawn below:
(i) 830 – 840 group has the maximum number of workers
(ii) 10 workers can earn more than ₹ 850
(iii) 20 workers earn less than ₹ 850
☛ Check: NCERT Solutions Class 8 Maths Chapter 5
Video Solution:
Draw a histogram for the frequency table made for the data in Question 3, and answer the following questions. (i) Which group has the maximum number of workers? (ii) How many workers earn ₹ 850 and more? (iii) How many workers earn less than ₹ 850?
NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.1 Question 4
Summary:
We have drawn a histogram for the frequency table made for the data in Question 3. (i) The group that has the maximum number of workers is 830-840 (ii) 10 workers earn ₹ 850 and more (iii) 20 workers earn less than ₹ 850.
☛ Related Questions:
- 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 of cassettes produced by 5 companies.
- The shoppers who come to a departmental store are marked as: man (M), woman (W), boy (B) or girl (G).
- The weekly wages (in Rs) 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.
- The number of hours for which students of a particular class watched television during holidays is shown through the given graph.