Introduction to Data Interpretation

Introduction to Data Interpretation

Easy Questions
Moderate Questions
Difficult Questions

Data Interpretation

Introduction to Data Interpretation
Table chart
Line chart
Pie chart
Bar graph
Mixed Graph
Data Sufficiency

Direction: Study the histogram of marks (in Mathematics) distribution of 50 students of class IX and answer the following questions.

  1. The average marks of the students are








  1. View Hint View Answer Discuss in Forum

    On the basis of given graph in question , we have
    Here , f1 = 10 , x1 = 7 , f2 = 30 , x2 = 8 , f3 = 50 , x3 = 18 , f4 = 70 , x4 = 4 , f5 = 90 , x5 = 13

    Mid-value of class-interval (x) =
    Highest value + Lowest value
    2

    ∴ Average =
    Σ fx
    Σ f

    where Σf = Total number of students
    Required average marks =
    10 × 7 + 30 × 8 + 50 × 18 + 70 × 4 + 90 × 13
    50

    Correct Option: A

    On the basis of given graph in question , we have
    Here , f1 = 10 , x1 = 7 , f2 = 30 , x2 = 8 , f3 = 50 , x3 = 18 , f4 = 70 , x4 = 4 , f5 = 90 , x5 = 13

    Mid-value of class-interval (x) =
    Highest value + Lowest value
    2

    ∴ Average =
    Σ fx
    Σ f

    where Σf = Total number of students
    Required average marks =
    10 × 7 + 30 × 8 + 50 × 18 + 70 × 4 + 90 × 13
    50

    Required average marks =
    70 + 240 + 900 + 280 + 1170
    50

    Required average marks =
    2660
    		= 53.2
    50


  1. The number of students who have secured marks less than 60 is :








  1. View Hint View Answer Discuss in Forum

    From the given above histogram , we can see
    The number of students who have scored interval 0-20 = 7
    The number of students who have scored interval 0-20 = 8
    The number of students who have scored interval 0-20 = 18

    Correct Option: C

    From the given above histogram , we can see
    The number of students who have scored interval 0-20 = 7
    The number of students who have scored interval 0-20 = 8
    The number of students who have scored interval 0-20 = 18
    Students who score less than 60 marks = 7 + 8 + 18 = 33

Direction: Study the following histogram of data related to literate people of different age groups and answer the questions given below.

  1. The respective ratio of literate people in the age group of 20 to 35 years to that in the age group of 30 to 45 years is








  1. View Hint View Answer Discuss in Forum

    According to given histogram , we have
    Number of literate people in the age group of 20 to 35 years = 800 + 650 + 600 = 2050
    Number of literate people in the age group of 30 to 45 years = 600 + 500 + 250 = 1350
    Required ratio = Number of literate people in the age group of 20 to 35 years : Number of literate people in the age group of 30 to 45 years

    Correct Option: C

    According to given histogram , we have
    Number of literate people in the age group of 20 to 35 years = 800 + 650 + 600 = 2050
    Number of literate people in the age group of 30 to 45 years = 600 + 500 + 250 = 1350
    Required ratio = Number of literate people in the age group of 20 to 35 years : Number of literate people in the age group of 30 to 45 years
    ∴ Required ratio = 2050 : 1350 = 41 : 27

  1. The percentage of the literate people in the age group 30 to 45 years is








  1. View Hint View Answer Discuss in Forum

    On the basis of given graph in question ,
    Number of literate people in the age group 30–45 years = 600 + 500 + 250 = 1350
    Total literate people = 3700 + 350 = 4050

    Required percent =
    1350
    		× 100
    4050

    Correct Option: B

    On the basis of given graph in question ,
    Number of literate people in the age group 30–45 years = 600 + 500 + 250 = 1350
    Total literate people = 3700 + 350 = 4050

    Required percent =
    1350
    		× 100
    4050

    Required percent =
    100
    		= 33.33%
    3

  1. The number of literate people in the age group of 20 to 35 years is








  1. View Hint View Answer Discuss in Forum

    According to given histogram , we have
    Number of literate people in the age interval 20-25 = 800
    Number of literate people in the age interval 25-30 = 650
    Number of literate people in the age interval 30-35 = 600

    Correct Option: A

    According to given histogram , we have
    Number of literate people in the age interval 20-25 = 800
    Number of literate people in the age interval 25-30 = 650
    Number of literate people in the age interval 30-35 = 600
    Required answer = 800 + 650 + 600 = 2050