Question

A company manufactures car batteries of a particular type. The lives (in years) of $40$ such batteries were recorded as follows: $$\begin{gathered} 2.6,3.0,3.7,3.2,2.2,4.1,3.5,4.5,3.5,2.3,3.2,3.4,3.8,3.2,4.6,3.7, \\ 2.5,4.4,3.4,3.3,2.9,3.0,4.3,2.8,3.5,3.2,3.9,3.2,3.2,3.1,3.7,3.4, \\ 4.6,3.8,3.2,2.6,3.5,4.2,2.9,3.6. \end{gathered}$$

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

Answer 1

Constructing group frequency table:

Grouped frequency distribution table with class intervals of size $0.5$ starting from the interval $2-2.5$:

The data is represented in the grouped frequency distribution is tabulated below,

Hence , group frequency table of class $0.5$ is given below.

Lives of batteries (in years)	No. of batteries (Frequency)
$2-2.5$	$2$
$2.5-3$	$6$
$3-3.5$	$14$
$3.5-4$	$11$
$4-4.5$	$4$
$4.5-5$	$3$
Total	$40$