Choose the correct answer from the given four options : Consider … - Vidyadip

MCQ

Choose the correct answer from the given four options : Consider the data :

Class	$65-85$	$85-105$	$105-125$	$125-145$	$145-165$	$165-185$	$185-205$
Frequency	$4$	$5$	$13$	$20$	$14$	$7$	$4$

The difference of the upper limit of the median class and the lower limit of the modal class is :

A
$0$
B
$19$
✓
$20$
D
$38$

✓

Answer

Correct option: C.

$20$

Here,

Class	Frequency	Cumulative frequency
$65-85$	$4$	$4$
$85-105$	$5$	$9$
$105-125$	$13$	$22$
$125-145$	$20$	$42$
$145-165$	$14$	$56$
$165-185$	$7$	$63$
$185-205$	$4$	$67$

Here, $\frac{\text{N}}{2}=\frac{67}{2}=33.5$ which lies in the interval $125\ - 145.$
Hence, upper limit of median class is $145.$
Here, we see that the highest frequency is $20$ which lies in $125\ - 145$.
Hence, the lower limit of modal class is $125.$
Required difference $=$ Upper limit of median class $-$ Lower limit of modal class $= 145 - 125 = 20$

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 "M.C.Q (1 Marks)" from Stastics→Stastics — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

A student got marks in $5$ subjects in a monthly test is given below : $\{2, 3, 4, 5, 6\}$. In these obtained marks $,4$ is the :

Choose the correct answer from the given four options:
A surahi is the combination of:

If $\alpha$ and $\beta$ are the zeroes of the polynomial $p(x)= kx ^2-30 x +45 k$ and $\alpha+\beta=\alpha \beta$, then the value of k is :

Find the sum of first 15 multiples of 8.

The graph of a quadratic polynomial p(x) passes through the points (-6,0), (0, -30), (4,-20) and (6,0). The zeroes of the polynomial are

In the given figure, PQ and PR are tangents to a circle with centre A. If $\angle\text{QPA}=27^\circ$ then $\angle\text{QAR}$ equals:

$\triangle\text{ABC}$ and $\triangle\text{BDE}$ are two equilateral triangles such that D is the mid-point of BC. The ratio of the areas of triangle ABC and BDE is:

If the centroid of a triangle is $(1,4)$ and two of its vertices are $(4,-3)$ and $(-9,7)$, then the area of the triangle is

If $\phi$ is an impossible event, then $\text{p}(\phi)=$

The product of the zeros of the polynomial $x^3+4 x^2+x-6$ is