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Maths 4 Mark Question

Data Handling - III (Bar Graphs) · Maharashtra Board STD 6 (MSBSHSE - English Medium). 2 questions.

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4 Mark Question

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2 questions · self-marked practice — reveal the answer and mark yourself.

Question 14 Marks
The population of Delhi State in different census years is as given below:
Census year
1961
1971
1981
1991
2001
Cars Sold
30
55
70
110
150
Represent the above information with the help of a bar graph.
Answer
To represent the given data on a bar graph, we should first draw a horizontal and a vertical line. Here, the horizontal line will show the census year and the vertical line will show represent the population. Since 5 values or data are given, we mark 5 points on the horizontal axis at equal distances and will erect rectangles of the same width with their heights proportional to the given data. Also, on the vertical axis, each difference of 10 will represent a population of 10 lakhs.
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Question 24 Marks
Study the bar graph representing the number of persons in various age groups in a town shown in Fig. Observe the bar grouph and answer the following questions:
  1. What is the information given by the bar graph?
  2. What was the number of commercial banks in 1977?
  3. What is the ratio of the number of commercial bank in 1969 to that in 1980?
  4. State whether true or false:
The number of commercial banks in 1983 in less than double the number of commercial banks in 1969.

Bar group of the number of commercial banks in india during some years
Answer
  1. The bar graph represents the number of commercial banks in India during the respective years.
  2. In 1977, there were 130 commercial banks.
Explanation:

The height of the rectangle against the year 1977 is up to 130 units.
  1. Number of commercial banks in 1969 = 90
Number of commercial banks in 1980 = 150

Therefore, Ratio of the number of commercial banks in 1969 to that in $1980=\frac{90}{150}=\frac{3}{5}=3:5$
  1. False.
Explanation:

Number of commercial banks in 1983 = 230

Number of commercial banks in 1969 = 90

Therefore, 2 × 90 = 180

As 230 is greater than 180, the number of commercial banks in 1983 is not less than double the number of commercial banks in 1969.
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