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.

$\begin{matrix} N u m b e r o f h o u r s & 100 - 120 & 120 - 140 & 140 - 160 & 160 - 180 & 180 - 200 N u m b e r o f s t u d e n t s & 19 & 28 & 30 & 16 & 7 \end{matrix}$

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
$\begin{matrix} C l a s s I n t e r v a l & F r e q u e n c y & C u m u l a t i v e F r e q u e n c y 100 - 120 & 19 & 19 120 - 140 & 28 & 47 140 - 160 & 30 & 77 160 - 180 & 16 & 93 180 - 200 & 7 & 100 \end{matrix}$

$\frac{N}{2} = 50$
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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Similar questions

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

\begin{matrix} N u m b e r o f h o u r s & 100 - 120 & 120 - 140 & 140 - 160 & 160 - 180 & 180 - 200 N u m b e r o f s t u d e n t s & 19 & 28 & 30 & 16 & 7 \end{matrix}

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

$\begin{matrix} N u m b e r o f h o u r s & 100 - 120 & 120 - 140 & 140 - 160 & 160 - 180 & 180 - 200 N u m b e r o f s t u d e n t s & 19 & 28 & 30 & 16 & 7 \end{matrix}$

The percentage of attendance of different classes in a year in a school is given below:

$\begin{matrix} Class & X & I X & V I I I & V I I & V I & V Attendance & 30 & 62 & 85 & 92 & 76 & 55 \end{matrix}$

What is the probability that the class attendance is more than 75%?

Q. On a particular day in a school, the attendance in each of the classes from VI to X has been recorded as under.

Class	VI	VII	VIII	IX	X
Total no. of students	95	90	82	75	68
Number of students present on that day	92	85	78	69	62

Draw a double bar graph, choosing an appropriate scale.
Using the bar graph, answer the questions given below.
(i) Which class has the maximum number of students?
(ii) Find the ratio of number of students present to the total number of students in Class VII.
(iii) What per cent of Class IX students were absent?

Q. Question 3(b)
Number of children in six different classes are given below. Represent the data on a bar graph.

\begin{matrix} C l a s s & F i f t h & S i x t h & S e v e n t h & E i g h t h & N i n t h & T e n t h N o . o f c h i l d r e n & 135 & 120 & 95 & 100 & 90 & 80 \end{matrix}

Answer the following questions:
(i) Which class has the maximum number of children? And the minimum?
(ii) Find the ratio of students of class sixth to the students of class eighth.

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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 142Class 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