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Maths 3 Marks Question

Graphical Representation of Statistical Data [NEW] · Gujarat Board (GSEB) STD 9 (GSEB - English Medium). 10 questions.

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3 Marks Question

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Question 13 Marks
The monthly profits (in ₹) of 100 shops are distributed as follows:
Profits per shop:
0-50
50-100
100-150
150-200
200-250
250-300
No. of shops:
12
18
27
20
17
6
Draw a histogram for the data and show the frequency polygon for it.
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Question 23 Marks
The following is the distribution of total household expenditure (in ₹) of manual worker in a city:
Expenditure (in ₹): 100-150 150-200 200-250 250-300 300-350 350-400 400-450 450-500
No. of manual workers: 25 40 33 28 30 22 16 8
Draw a histogram and a frequency polygon representing the above data.
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Question 33 Marks
The following bar graph shows the results of an annual examination in a secondary school.
Read the bar graph and choose the correct alternative in each of the following:

  1. The pair of classes in which the results of boys and girls are inversely proportional are:
  1. VI, VIII
  2. VI, IX
  3. VII, IX
  4. VIII, X
  1. The class having the lowest failure rate of girls is:
  1. VI
  2. X
  3. IX
  4. VIII
  1. The class having the lowest pass rate of students is:
  1. VI
  2. VII
  3. VIII
  4. IX
Answer
  1. The pair of classes in which the results of boys and girls are inversely proportional are VI and IX.
  2. The lowest failure rate of girls is same to the highest pass rate. Hence, the class having the lowest failure rate of girls is VII (the height of the bar corresponding to girls for this class is maximum).
  3. The sum of the heights of the bars for boys and girls in class VII is minimum, which is 95 + 40 = 135. Hence, the class having the lowest pass rate is VII. Hence, the correct choice is (b).
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Question 43 Marks
The distribution of height (in cm) of 96 children is given below. Construct a histogram and a frequency polygon on the same axes.
Height (in cm): 124 to 128 128 to 132 132 to 136 136 to 140 140 tom 144 144 to 148 148 to 152 152 to 156 156 to 160 160 to 164
No. of children: 5 8 17 24 16 12 6 4 3 1
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Question 53 Marks
Read the graph given in figure and answer the following question:

  1. What information is given by the bar given?

  1. In which years the areas under the sugarcane crop were the maximum and the minimum?
  2. State whether true or false:

The area under sugarcane crop in the year 1982–83 is three times that of the year 1950–51.

Answer
  1. The bar graph represents the areas (in lakh hectares) under sugarcane crop during different years in India.
  2. It is seen from the bar graph that the area under the sugarcane crop is maximum in the year 1982–83 and minimum in the year 1950–51.
  3. The area under the sugarcane crop in the years 1982–83 and 1950-51 are 34 lakh hectares and 18 lakh hectares respectively. Clearly, 34 is not equal to 3 multiplied by 18. Hence, the statement is false.
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Question 63 Marks
Read the following bar graph and answer the following questions:
  1. What is the information given by the bar graph?
  2. State each of the following whether true or false.
  1. The number of government companies in 1957 is that of 1982 is 1 : 9.
  2. The number of government companies has decreased over the year 1957 to 1983.

Answer
  1. The bar graph represents the number of government companies in India during some years.
  2.  
  1. The number of companies in 1957 was 50 and the number of companies in 1982 was 375. Their ratio in that order is 50 : 375 = 2 : 15

Hence, the statement is false.

  1. The height of the bar graphs increases over the years 1957 to 1983. Hence, the statement is false.

2 : 15

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Question 73 Marks
Read the following bar graph and answer the following questions:
  1. What information is given by the bar graph?
  2. What was the production of cement in the year 1980–81?
  3. What are the minimum and maximum production of cement and corresponding years?

Answer
  1. The bar graph represents the industrial production of cement in different years in India.
  2. According to the height of the 6th bar from the left. the production of cement in the year 1980–81 was 186 lakh tonnes.
  3. According to the heights of the bars. The minimum production of cement is 30 lakh tonnes in the year 1950–51 and the maximum production of cement is 232 lakh tonnes in the year 1982–83
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Question 83 Marks
Read the bar graph given in and answer the following questions:
  1. What information is given by the bar graph?
  2. What was the crop-production of rice in 1970–71?
  3. What is the difference between the maximum and minimum production of rice?

Answer
  1. The bar graph represents the production of the rice crop in India in different years.
  2. According to the height of the 3rd bar from the left, the crop-production of rice in 1970–71 is 42.5 lakh tones.
  3. The maximum product of rice is 55 lakh tones (height of the 4th bar from the left) in the year 1980–81 and the minimum product of rice is 22 lakh tones (height of the 1st bar from the left) in the year 1950–51. Hence, the difference between maximum and minimum production of rice (in lakh tones) is 55 - 22 = 33
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Question 93 Marks
Draw a histogram for the daily earning of 30 drug stores in the following table:
Daily earning (in ₹): 450-500 500-550 550-600 600-650 650-700
Number of stores: 16 10 7 3 1
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Question 103 Marks
Construct a histogram for the following data:
Monthly School fee (in ₹): 30-60 60-90 90-120 120-150 150-180 180-210 210-240
No of schools 5 12 14 18 10 9 4
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3 Marks Question - Maths STD 9 Questions - Vidyadip