In the given frequency distribution- which is-are the median term-s- - Age-in-years amp- Number-of-people- 15 amp- 3- 16 amp- 8- 17 amp- 10- 18 amp- 10- 19 amp- 5- 20 amp- 4- - 20-th- 21-st-21-st- 22-nd-only 20-th-19-th- 20-th-

The correct option is A 20^th, 21^st [ Age in years amp; Number of people amp; Cumulative frequency; 15 ...

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Standard IX

Mathematics

Median of Ungrouped Frequency Distribution

In the given ...

Question

In the given frequency distribution, which is/are the median term(s)?
$\begin{matrix} A g e i n y e a r s & N u m b e r o f p e o p l e 15 & 3 16 & 8 17 & 10 18 & 10 19 & 5 20 & 4 \end{matrix}$

$19^{t h}, 20^{t h}$

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$20^{t h}, 21^{s t}$

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$21^{s t}, 22^{n d}$

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only $20^{t h}$

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Solution

The correct option is B
$20^{t h}, 21^{s t}$

$\begin{matrix} A g e i n y e a r s & N u m b e r o f p e o p l e & C u m u l a t i v e f r e q u e n c y 15 & 3 & 3 16 & 8 & 11 17 & 10 & 21 18 & 10 & 31 19 & 5 & 36 20 & 4 & 40 \end{matrix}$
The total number of people is 40.
Since it is an even number,
there will be two median terms :
$(\frac{n}{2})^{t h}$ and $(\frac{n}{2} + 1) t h$ terms.
So, the median terms will be the 20th and 21st terms.

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Similar questions

Q. Calculate the missing frequency from the following distribution, it being given that the median of the distribution is 24.

Age (in years)	0−10	10−20	20−30	30−40	40−50
Number of persons	5	25	?	18	7

In the given frequency distribution, which is/are the median term(s)?
$\begin{matrix} A g e i n y e a r s & N u m b e r o f p e o p l e 15 & 3 16 & 8 17 & 10 18 & 10 19 & 5 20 & 4 \end{matrix}$

In the given frequency distribution, median term(s) is/are ______.
$\begin{matrix} A g e i n y e a r s & N u m b e r o f p e o p l e 15 & 3 16 & 8 17 & 10 18 & 10 19 & 5 20 & 4 \end{matrix}$

Question 3
A life insurance agent found the following data for the distribution of ages of 100 policy holders. Calculate the median age, if policies are given only to persons having age 18 years onwards but less than 60 years.

$\begin{matrix} A g e (i n y e a r s) & N u m b e r o f p o l i c y h o l d e r s B e l o w 20 & 2 B e l o w 25 & 6 B e l o w 30 & 24 B e l o w 35 & 45 B e l o w 40 & 78 B e l o w 45 & 89 B e l o w 50 & 92 B e l o w 55 & 98 B e l o w 60 & 100 \end{matrix}$

In the given frequency distribution, which is the median age?
$\begin{matrix} Age in years & Number of people 15 & 3 16 & 8 17 & 10 18 & 10 19 & 5 20 & 4 \end{matrix}$

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In the given frequency distribution, which is/are the median term(s)? Age in yearsNumber of people15316817101810195204

The correct option is B 20th,21st Age in yearsNumber of peopleCumulative frequency1533168111710211810311953620440 The total number of people is 40. Since it is an even number, there will be two median terms : (n2)th and ​(n2+1)th terms. So, the median terms will be the 20th and 21st terms.

In the given frequency distribution, which is/are the median term(s)?
$\begin{matrix} A g e i n y e a r s & N u m b e r o f p e o p l e 15 & 3 16 & 8 17 & 10 18 & 10 19 & 5 20 & 4 \end{matrix}$