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:

\[\text{ Class mark }= \frac{40 + 45}{2} = \frac{85}{2} = 42 . 5\]

(ii) Range of the above weights:\[\text{ Range } = \text{ Highest value } - \text{ Lowest value }\]
\[ = 74 - 30\]
\[ = 44\]

(iii) There are 5 classes (30\[-\]40, 40\[-\]50, 50\[-\]60, 60\[-\]70, 70\[-\]80).