Question

Construct a frequency distribution table for the following data on weights ( in kg ) of 20 students of a class using intervals 30- 35 , 35 - 40 and so on . 40, 38, 33, 48, 60, 53, 31, 46, 34, 36, 49, 41, 55, 49, 65, 42, 44, 47, 38, 39​

Answer 1

★ Frequency distribution table for given data is,

$\boxed{\begin{array}{cccc}\bf Class\: interval&\bf Frequency\: (f) &\bf C.F\\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}\\\sf 30 - 35&\sf 3&\sf 3\\\\\sf 35 - 40 &\sf 4&\sf 7\\\\\sf 40-45 &\sf 4&\sf 11\\\\\sf 45 - 50&\sf 5&\sf 16\\\\\sf 50 - 55&\sf 1&\sf 17\\\\\sf 55 - 60 &\sf 1&\sf 18\\\\\sf 60 - 65 &\sf 1&\sf 19\\\\\sf 65 - 70 &\sf 1&\sf 20\\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}\\\sf & \bf \sum f = 20& \end{array}}$

Here,

• Lowest observation = 31

• Highest observation = 65

• Class interval = 30 - 35, 35 - 40, and so on

• Total students = 20

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$\qquad\qquad\boxed{\underline{\underline{\purple{\bigstar \: \bf\:More\:to\:know\:\bigstar}}}}$

• Frequency distribution: A frequency distribution is a list, table or graph that displays the frequency of various outcomes in a sample. Each entry in the table contains the frequency or count of the occurrences of values within a particular group or interval.