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Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is $ 40-45(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 $
(a) How many classes are there in the frequency distribution table?
(b) Which weight group has the highest frequency?
Given: Following weights $(in\ grams)$ of $35$ mangoes:
$30,\ 40,\ 45,\ 32,\ 43,\ 50,\ 55,\ 62,\ 70, 70,\ 61,\ 62,\ 53,\ 52,\ 50,\ 42,\ 35,\ 37$
$53,\ 55,\ 65,\ 70,\ 73,\ 74,\ 45,\ 46,\ 58,\ 59,\ 60,\ 62,\ 74,\ 34,\ 35,\ 70,\ 68$.
To do: To construct a frequency distribution table for the given data. and $( a).$ To find the number of classes in the table $( b).$ To find the weight group of highest frequency.
Solution:
| Weight | Tally Mark | Frequency |
| $30-40$ |
| 6 |
| $40-50$ |
| 6 |
| $50-60$ |
| 9 |
| $60-70$ |
| 7 |
| $70-80$ |
| 7 |
$( a)$. There are $5$ number of classes: $30-40,\ 40-50,\ 50-60,\ 60-70$ and $70-80$
$( b)$. Here, highest frequency is $9$ in the table which belongs to $50-60$ class.
Updated on: 10-Oct-2022
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