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The mean of data, represented by given diagram, is:

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Question

The mean of data, represented by given diagram, is:

The image displays a statistical histogram featuring a vertical frequency axis ranging from $0$ to $40$ with a break or kink at the origin, a horizontal class interval (C.I.) axis starting from $40$ up to $60$, and two rectangular bars representing frequency distributions across the class intervals $40\text{--}50$ (frequency $40$) and $50\text{--}60$ (frequency $10$).

Options

  • 53

  • 47

  • 42

  • 51

MCQ
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Solution

47

Explanation:

Table from the given graph is:

C.I. Class mark (x) Frequency (f) fx
40-50 45 40 1800
50-60 55 10 550
Total   Σf = 50 Σfx = 2350

By formula,

\[\text{Mean} = \frac{\Sigma fx}{\Sigma f} = \frac{2350}{50} = 47\]

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Chapter 24: Measure of Central Tendency (Mean, Median, Quartiles and Mode) - EXERCISE 24 (B) [Page 375]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 24 Measure of Central Tendency (Mean, Median, Quartiles and Mode)
EXERCISE 24 (B) | Q 1. (e) | Page 375
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