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Introduction to Data Interpretation

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. 53.2
    2. 45.5
    3. 60.2
    4. 55.5
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




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