The number of hours of classes attended by students in a semester and the corresponding number of students is tabulated below. Find the median number of hours of classes attended by the students.

$\begin{matrix} Number of hours & 100 - 120 & 120 - 140 & 140 - 160 & 160 - 180 & 180 - 200 Number of students & 19 & 28 & 30 & 16 & 7 \end{matrix}$

128

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133

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138

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142

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Solution

The correct option is D
142

$\begin{matrix} Class Interval & Frequency & Cumulative Frequency 100 - 120 & 19 & 19 120 - 140 & 28 & 47 140 - 160 & 30 & 77 160 - 180 & 16 & 93 180 - 200 & 7 & 100 \end{matrix}$

$\frac{N}{2} = 50$
Median class is 140-160

$M = L + \frac{\frac{N}{2} - c . f}{f} \times h = 140 + \frac{50 - 47}{30} \times 20 = 142$

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The number of hours of classes attended by students in a semester and the corresponding number of students is tabulated below. Find the median number of hours of classes attended by the students. Number of hours100−120120−140140−160160−180180−200Number of students192830167

The correct option is D 142 Class IntervalFrequencyCumulative Frequency100−1201919120−1402847140−1603077160−1801693180−2007100 N2=50 Median class is 140-160 M=L+N2−c.ff×h=140+50−4730×20=142