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A Company Manufactures Car Batteries of a Particular Type. the Lives (In Years) of 40 Such Batteries Were Recorded as Follows - Mathematics

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A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows:-

2.6 3.0 3.7 3.2 2.2 4.1 3.5 4.5
3.5 2.3 3.2 3.4 3.8 3.2 4.6 3.7
2.5 4.4 3.4 3.3 2.9 3.0 4.3 2.8
3.5 3.2 3.9 3.2 3.2 3.1 3.7 3.4
4.6 3.8 3.2 2.6 3.5 4.2 2.9 3.6

Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting from the intervals 2 − 2.5.

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Solution

A grouped frequency table of class size 0.5 has to be constructed, starting from class interval 2 − 2.5.

Therefore, the class intervals will be 2 − 2.5, 2.5 − 3, 3 − 3.5…

By observing the data given above, the required grouped frequency distribution table can be constructed as follows.

Lives of batteries (in years) Number of batteries
2 − 2.5 2
2.5 − 3.0 6
3.0 − 3.5 14
3.5− 4.0 11
4.0 − 4.5 4
4.5 − 5.0 3
Total 40
Concept: Presentation of Data
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APPEARS IN

NCERT Class 9 Maths
Chapter 14 Statistics
Exercise 14.2 | Q 9 | Page 246

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