The median class for the following data isMarks - Below 10 - Below ispace 20 - Below ispace 30 - Below ispace 40 - Below ispace 50 Whline No- space of -space students ispace cf - 5- 10- 23- 31 - 40 Whlinelendarray

The correct option is C 20 30 The given table can be written as: [ Marks amp; 0 10 amp; 10 20 amp; 20 30 am ...

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Standard X

Mathematics

Median for Grouped Data

The median cl...

Question

The median class for the following data is
$\begin{matrix} M a r k s & B e l o w 10 & B e l o w 20 & B e l o w 30 & B e l o w 40 & B e l o w 50 N o . o f s t u d e n t s (c f) & 5 & 10 & 23 & 31 & 40 \end{matrix}$

10-20

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20-30

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30-40

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40-50

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Solution

The correct option is B
20-30

The given table can be written as:
$\begin{matrix} M a r k s & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 N o . o f s t u d e n t s (c f) & 5 & 10 & 23 & 31 & 40 \end{matrix}$
Since there are a total of 40 observations, the median class is the one whose cumulative frequency is closest to and greater than 20. The class interval 20-30 is the required answer.

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$\begin{matrix} M a r k s & N o . o f s t u d e n t s A b o v e 0 & 80 A b o v e 10 & 77 A b o v e 20 & 72 A b o v e 30 & 65 A b o v e 40 & 55 A b o v e 50 & 43 A b o v e 60 & 23 A b o v e 70 & 16 A b o v e 80 & 10 A b o v e 90 & 8 A b o v e 100 & 0 \end{matrix}$

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The following data gives the placement statistics for a college. The annual salaries of 100 students (in lakhs) are tabulated along with the number of students in each salary bracket. Find the quartile deviation of the data to the nearest integer.

$\begin{matrix} S a l a r y B r a c k e t (i n l p a) & 0 - 5 & 5 - 10 & 10 - 15 & 15 - 20 & 20 - 25 & 25 - 30 N o . o f s t u d e n t s & 38 & 24 & 20 & 9 & 6 & 3 \end{matrix}$

The median class for the following data is
$\begin{matrix} Marks & B e l o w 10 & B e l o w 20 & B e l o w 30 & B e l o w 40 & B e l o w 50 No. of students & 5 & 10 & 23 & 31 & 40 \end{matrix}$

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$\begin{matrix} A & B 1. H a i r s a n d m u c u s i n n o s t r i l s & a . a s s i s t s i n i n h a l a t i o n a n d e x h a l a t i o n 2. C a r t i l a g e i n t r a c h e a & b . i n c r e a s e s s u r f a c e a r e a o f a b s o r p t i o n 3. A l v e o l i & c . p r e v e n t s e n t r y o f f o r e i g n b o d i e s 4. D i a p h r a g m & d . p r e v e n t s c o l l a p s e o f t r a c h e a l s t r u c t u r e \end{matrix}$

The following data gives the placement statistics for a college. The annual salaries of 100 students (in lakhs) are tabulated along with the number of students in each salary bracket. You want to find the salary of a typical student, ignoring the extreme values. Identify the measure of central tendency appropriate for this purpose and calculate it.

$\begin{matrix} S a l a r y B r a c k e t (i n l p a) & 0 - 5 & 5 - 10 & 10 - 15 & 15 - 20 & 20 - 25 & 25 - 30 N o . o f s t u d e n t s & 38 & 24 & 20 & 9 & 6 & 3 \end{matrix}$

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The median class for the following data is MarksBelow 10Below 20Below 30Below 40Below 50No. of students (cf)510233140

The median class for the following data is
$\begin{matrix} M a r k s & B e l o w 10 & B e l o w 20 & B e l o w 30 & B e l o w 40 & B e l o w 50 N o . o f s t u d e n t s (c f) & 5 & 10 & 23 & 31 & 40 \end{matrix}$