Download App

Measure of Central Tendency (Mean, Median, Quartiles and Mode) — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsMeasure of Central Tendency (Mean, Median, Quartiles and Mode)5 Marks
Question
From the following cumulative frequency table , find :
Median ,Lower quartile ,Upper quaetile
Marks$($less than$)$ $10 $ $20$ $30$ $40$ $50$ $60$ $70$ $80$ $90$ $100$
Cumulative frequency $5$ $24$ $37$ $40$ $42$ $48$ $70$ $77$ $79$ $80$
✓

Answer

Marks $($less than$)$ Cumulative frequency
$10 $ $5$
$20$ $24$
$30$ $37$
$40$ $40$
$50$ $42$
$60$ $48$
$70$ $70$
$80$ $77$
$90$ $79$
$100$ $80$
Number of terms$= 80$
Median$= 40^{th}$term

Median$=$ Through $40^{th}$ term mark draw a line parallel to the $x-$axis which meets the curve at $A.$ from $A,$ Draw a perpendiculer to axis which meets it at $B.$
Value of $B$ is the median $- 40$
Lower quartile $(Q_1) = 20^{th} \ term=18$
Upeer Quartile $(Q_3) = 60^{th}  \ term = 66$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "[5 marks sum]" from Measure of Central Tendency (Mean, Median, Quartiles and Mode)→Measure of Central Tendency (Mean, Median, Quartiles and Mode) — all question types→Mathematics STD 10 question papers→ICSE Board STD 10 question papers→ICSE Board question paper generator→

Similar questions

$PQR$ is an isosceles triangle . If two of its vertices are $P (2 , 0)$ and $Q (2 , 5),$ find the coordinates of $R$ if the length of each of the two equal sides is $3.$
→
Find the fourth proportion to the following:
$(p^2q - qr^2 ), (pqr - pr^2 )$ and $(pq^2 - pr^2)$
→
If $A=\left[\begin{array}{ll}0 & -1 \\ 4 & -3\end{array}\right], B =\left[\begin{array}{c}-5 \\ 6\end{array}\right]$ and $3 A \times M =2 B$; Find matrix $M$
→
Given $\frac{x^3+12 x}{6 x^2+8}=\frac{y^3+27 y}{9 y^2+27}$
using componendo and dividendo, find $x : y$
→
ABC is an equilateral triangle . If the coordinates of A and B are $(1 , 1)$ and $(- 1 , -1),$  find the coordinates of C.
→
Draw an ogive for the following :
Marks (More than) 0 10 20 30 40 50 60 70 80 90 100
Cumulative Frequency 100 87 65 55 42 36 31 21 18 7 0
→
Find the area of the biggest circle that can be cut from a rectangular piece of 44cm by 28 cm. Also, find the area of the paper left after cutting out the circle.
→
Let $A=\left|\begin{array}{ll}3 & 2 \\ 0 & 5\end{array}\right|$ and $B=\left|\begin{array}{ll}1 & 0 \\ 1 & 2\end{array}\right|$, find $(i) \ (A+B)(A-B) \  (ii) \ A^2-B^2$. Is $(i)$ equal to $(ii)$ ?
→
In the given figure, from the top of a building $AB = 60\ m$ hight, the angle of depression of the top and bottom of a vertical lamp post $CD$ are observed to be $30^\circ $ and $60^\circ$  respectively. find :
$(1) $ the horizental distance between $AB $ and $CD$ ;
$(2)$ the height of the lamp post.
→
Draw a circle of radius 2. 5 cm and circumscribe a square about it.
→