Download App

Mean, Median, Mode of Grouped Data — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsMean, Median, Mode of Grouped Data1 Mark
MCQ
Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer: use the following code:
Assertion (A)
Consider the following frequency distribution:
Class interval
3-6
6-9
9-12
12-15
15-18
18-21
Frequency
2
5
21
23
10
12
The mode of the above data is 12.4.
Reason (R)
The value of the variable which occurs most often is the mode.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
  • ✓
    Both Assertion (A) and Reason (R) are true but Reason (R) is a not a correct explanation of Assertion (A).
  • C
    Assertion (A) is true and Reason (R) is false.
  • D
    Assertion (A) is false and Reason (R) is true
✓

Answer

Correct option: B.
Both Assertion (A) and Reason (R) are true but Reason (R) is a not a correct explanation of Assertion (A).
Reason (R) is true.
Maxximum frequency = 23
Hence, modakl class is 12-15
Now, mode $=\text{x}_\text{k}+\text{h}\Big\{\frac{(\text{f}_\text{k}-\text{f}_{\text{k}-1})}{(2\text{f}_\text{k}-\text{f}_{\text{k}-1}-\text{f}_{\text{k}+1})}\Big\}$
$=12+3\Big\{\frac{(23-21)}{(2(23)-21-10)}\Big\}$
$=12+3\times\frac{2}{15}$
$=12+0.4$
$=12.4$
Thus, Assertion (A) and Reason (R) are both true but Reason (R) rs nor !he eereee explananoon of Assertion (A).

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 Mean, Median, Mode of Grouped Data→Mean, Median, Mode of Grouped Data — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

Mark the correct alternative in the following:
If $7^{\text {th }}$ and $13^{\text {th }}$ terms of an $A.P$. be $34$ and $64$ respectively, then its $18^{\text {th }}$ term is:
→
The line segment joining the points $P (-3,2)$ and $Q (5,7)$ is divided by the $y -$axis in the ratio
→
Choose the correct answer from the given four options in the following questions:
Which constant must be added and subtracted to solve the quadratic equation $9\text{x}^2+\frac{3}{4}\text{x}-\sqrt{2}=0$ by the method of completing the square ?
→
If in two triangles, corresponding sides are in the same ratio, then the two triangles are similar. This criterion is known as
→
At one end $A$ of a diameter $A B$ of a circle of radius 5 cm , tangent $X A Y$ is drawn to the circle. The length of the chord $C D$ parallel to $X Y$ and at a distance 8 cm from $A$ is
Image
→
The ratio between the radius of the base and the height of a cylinder is $2 : 3.$ If its volume is $1617\ cm^3$, the total surface area of the cylinder is:
→
$\cos^4\text{A}-\sin^4\text{A}$ is equal to:
→
A number when divided by $61$ gives $27$ as quotient and $32$ as the remainder, then the number is :
→
A sphere of diameter $18 \ cm$ is dropped into a cylindrical vessel of diameter $36 \ cm ,$ partly filled with water. If the sphere is completely submerged, then the water level rises $($in $\ cm )$ by
→
The pair of linear equations $2 x=5 y+6$ and $15 y=6 x-18$ represents two lines which are:
→