If $$ y=sin\theta + \sqrt 3 cos \theta $$ , then range of y is :

$$ -2\quad \le \quad y\quad \le \quad 2 $$

$$ 0\quad \le \quad y\quad \le \quad 2 $$

$$ -2\quad \le \quad y\quad \le \quad 0 $$

$$ 0\quad \le \quad y\quad \le \quad 4 $$

MCQ Questions for Class 11 Commerce Economics Measures Of Central Tendency Quiz 16

If x is the average(arithmetic mean) of

$5$ consecutive odd integers, what is the median of integers?

0%
$0$
0%
$1$
0%
$x-2$
0%
x

Calculate arithmetic mean salary from the following frequency distribution

X(Rs.in 000)	10-20	20-30	30-40	40-50	50- 60	60- 70
Y(Frequency)	2	3	6	5	2	2

0%
352
0%
36.00
0%
35.5
0%
39.00

Explanation

X	10-20	20-30	30-40	40-50	50-60	60-70
Y	2	3	6	5	5	5

Class interval	mid values (x)	f	d=x-35	fd
10-20	15	2	-20	-40
20-30	25	3	-10	-30
30-40	35	6	0	0
40-50	45	5	10	50
50-60	55	2	20	40
60-70	65	2	30	60
Total		22		80

$\overline{x} =A+\dfrac{\sum fd}{N}=35+\dfrac{(80)}{32}=38.6$

Given Cups

$=400$

$\therefore 12\%$ were broken

$12\%$ of

$400=\dfrac{12}{100}\times 400=48$

$\therefore48$ cups were broken

In good condition

$=400-48=352$

When there are 2 observations in the middle, median is calculated by ______.

0%
taking both the values as median
0%
taking the mean of the two observations
0%
(N+1) / 2
0%
both B and C

In a unimodal and symmetric distribution, the relationship between averages is like this

0%
Mean > median > mode
0%
Mean < median < mode
0%
Mean = median = mode
0%
Mean > median < mode

For the following grouped frequency distribution find the mode:

Class:	3-6	6-9	9-12	12-15	15-18	18-21	21-24
Frequency:	2	5	10	23	21	12	3

0%
13.9
0%
14.7
0%
15.1
0%
14.6

List of 5 pulse rates is: 70, 64, 80, 74, 92.what is the median for this list?

0%
74
0%
76
0%
77
0%
80

Explanation

List of pulse rates:

$64,70,74,80,92$

Median

$=74$ (middle value)

Find the median of the given ogive:

0%
150
0%
200
0%
148
0%
175

Explanation

From the given graph, median corresponds to

$300$ count.

Therefore, median=value of

$x$ at

$y=300$

$=175$

Find the mode of data

$1, 2, 5, 3, 2, 3, 0, 5, 2$ .

0%
$3$
0%
$1$
0%
$5$
0%
None of these

Explanation

$\begin{matrix} \Rightarrow \frac { { dy } }{ { dx } } =\frac { { { y^{ 2 } }-2y } }{ { x-1 } } \\ \Rightarrow \frac { { dy } }{ { { y^{ 2 } }-2y } } =\frac { { dx } }{ { \left( { x-1 } \right) } } \\ \Rightarrow \int { \frac { { dy } }{ { y\left( { y-2 } \right) } } = } \frac { { dx } }{ { x-1 } } \\ \Rightarrow \int { \frac { { dy } }{ { y\left( { y-2 } \right) } } = } \log \left( { x-1 } \right) +c \\ Let \\ \Rightarrow \frac { 1 }{ { y\left( { y-2 } \right) } } =\frac { A }{ y } +\frac { B }{ { \left( { y-2 } \right) } } \\ \Rightarrow 1=Ay-2A+By \\ \Rightarrow 1+2A \\ \Rightarrow A=\frac { { -1 } }{ 2 } \\ and\, \, \left( { A+B } \right) y=0, \\ A+B=0\to (i) \\ Put\, \, A=\frac { { -1 } }{ 2 } \, \, in\, \, equation(i) \\ \frac { { -1 } }{ 2 } +B=0,\, \, B=\frac { 1 }{ 2 } \\ \Rightarrow \int { \frac { A }{ y } dy+\int { \frac { B }{ { \left( { y-2 } \right) } } dy=\log \left( { x-1 } \right) +c } } \\ \Rightarrow \frac { { -1 } }{ 2 } \int { \frac { { dy } }{ y } +\frac { 1 }{ 2 } \int { \frac { 1 }{ { \left( { y-2 } \right) } } =\log (x-1 } +c } \\ \Rightarrow \frac { { -1 } }{ 2 } \log y+\frac { 1 }{ 2 } \log \left( { y-2 } \right) =\log \left( { x-2 } \right) +\log c \\ \Rightarrow \frac { { -1 } }{ 2 } \left[ { \log \left( { \frac { { y-2 } }{ y } } \right) } \right] =\log \left( { x-1 } \right) c \\ \Rightarrow \log \sqrt { \frac { { y-2 } }{ y } } =\log \left( { x-1 } \right) c \\ \therefore \sqrt { \frac { { \left( { y-2 } \right) } }{ y } } =\left( { x-1 } \right) c \\ \Rightarrow \frac { y }{ y } \, \, \frac { { -2 } }{ y } ={ \left( { x-1 } \right) ^{ 2 } }{ c^{ 2 } } \\ \Rightarrow 1-{ \left( { x-1 } \right) ^{ 2 } }{ c^{ 2 } }=\frac { 2 }{ y } \\ \therefore y=\frac { 2 }{ { -1{ { \left( { x-1 } \right) }^{ 2 } }{ c^{ 2 } } } } \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, Ans. \\ \end{matrix}$

$y=sin\theta + \sqrt 3 cos \theta$ , then range of y is :

0%
$0\quad \le \quad y\quad \le \quad 2$
0%
$-2\quad \le \quad y\quad \le \quad 0$
0%
$-2\quad \le \quad y\quad \le \quad 2$
0%
$0\quad \le \quad y\quad \le \quad 4$

The median of set of nine distinct observation is 20.If each of the observation is increased by 2

$,$ then the value of median of the new set of observations will be

$.$

0%
Increased by 2
0%
Increased by 4
0%
Remains unchanged
0%
Decreased by 2

CBSE Questions for Class 11 Commerce Economics Measures Of Central Tendency Quiz 16 - MCQExams.com

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Practice Class 11 Commerce Economics Quiz Questions and Answers

CBSE Questions for Class 11 Commerce Economics Measures Of Central Tendency Quiz 16 - MCQExams.com

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Practice Class 11 Commerce Economics Quiz Questions and Answers

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