Question

Construct a frequency table for the following weights (in gm) of 35 mangoes using the equal class intervals, one of them is 40-50 (45 not included):
30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37, 53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68.
(i) What is the class mark of the class interval 40-45?
(ii) What is the range of the above weights?
(iii) How many classes are there?

Answer 1

The frequency table for the given weights (in gm) of 35 mangoes is given below:

Weight	Tally Marks	Frequency
30$-$40	|||| |	6
40$-$50	|||| |	6
50$-$60	|||| ||||	9
60$-$70	|||| ||	7
70$-$80	|||| ||	7

(i) Class mark for the class interval 40$-$45:
$Classmark=\frac{40+45}{2}=\frac{85}{2}=42.5$
(ii) Range of the above weights:
$$\begin{gathered} Range=Highestvalue-Lowestvalue \\ =74-30 \\ =44 \end{gathered}$$
(iii) There are 5 classes (30$-$40, 40$-$50, 50$-$60, 60$-$70, 70$-$80).