The weight (in grams) of $40$ oranges picked at random from a basket are as follows:
$50, 40, 60, 65, 45, 55, 30, 90, 75, 85, 70, 85, 75, 80, 100, 110, 70, 55, 30, 35, 45, 70, 80, 85, 95, 70, 60, 70, 75, 40, 100, 65, 60, 40, 100, 75, 110, 30, 84, 45 .$
Construct a frequency table as well as a cumulative frequency table.

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Solution

Step 1: Definition of cumulative frequency:
Cumulative frequency is the sum of the frequency of the respective class-interval along with the frequency of the predecessor class-interval.
Step 2: Organize the frequency distribution table and cumulative frequency table:
Class interval
Frequency
Cumulative frequency
$30 - 40$
$4$
$4$
$40 - 50$
$6$
$10$
$50 - 60$
$3$
$13$
$60 - 70$
$5$
$18$
$70 - 80$
$9$
$27$
$80 - 90$
$6$
$33$
$90 - 100$
$2$
$35$
$100 - 110$
$3$
$38$
$110 - 120$
$2$
$40$
Therefore, the table of frequency distribution and cumulative frequency is made.

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8(ii) State the modal Class

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Frequency	$5$	$20$	$10$	$10$	$9$	$6$	$12$	$8$

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