Descriptive Statistics Test 22

Result

Descriptive Statistics Test 22

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Directions For Questions

The following graph shows the temperature forecast and the actual temperature for each day of a week.

...view full instructions

The actual temperature differs the most from the forecast temperature on:

A
Tuesday

B
Wednesday

C
Thursday

D
Friday

Solution

In the given graph, the dotted line represents the forecast temperature and the straight line represents the actual temperature.

From the graph, we can observe that the actual temperature and the forecast temperature differs mostly on Thursday i.e., the maximum difference between actual and forecast temperature ($$23.5-15=8.5$$)
Question 2
1 / -0

Directions For Questions

A courier person cycles from a town to a neighboring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph.

...view full instructions

How far is the place of the merchant from the town?

A
$$16$$

B
$$18$$

C
$$20$$

D
$$22$$

Solution

It is given that the courier person travels from town to a neighboring suburban area.

From the graph, we can observe that the destination place is $$22\space k.m.$$ from the town.
Question 3
1 / -0

Directions For Questions

A courier person cycles from a town to a neighboring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph.

...view full instructions

When did the person stop on his way?

A
9:00 a.m - 9.30 a.m

B
9:30 a.m - 10.00 a.m

C
10:00 a.m - 10.30 a.m

D
10:30 a.m - 11.00 a.m

Solution

The person had stopped between the time $$10$$ a.m to $$10.30$$ a.m.
This can be easily concluded since the curve on the graph between these times was horizontal to the x-axis which means no distance travelled.
Hence, option C is correct.
Question 4
1 / -0

Directions For Questions

A courier person cycles from a town to a neighboring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph.

...view full instructions

Fastest ride is from interval :

A
8 a.m to 9 a.m

B
9 a.m to 10 a.m

C
10 a.m to 11 a.m

D
11 a.m to 12 noon

Solution

Time
Period Distance
covered

8am-9am $$10 - 0 = 10 km$$

9am-10am $$16 - 10 = 6 km$$

10am-10.30am $$0 km$$

10.30am-12am $$22 - 16= 6 km$$
The person ride fastest during 8am to 9am.
Question 5
1 / -0

The quartile deviation of the income of a certain person given in rupees for 12 months in a year:139, 150, 151,151,157,158,160,161,162,162,173,175

A
4.5

B
5.5

C
6.2

D
none of these

Solution

S.NO. Income(Rs)
1 139
2 150
3 151
4 151
5 157
6 158
7 160
8 161
9 162
10 162
11 173
12 175
$$N=12$$
$${ Q }_{ 1 }=$$ Size of $$\displaystyle\frac { N+1 }{ 4 } th=3.25th$$ item
$$=$$ size of $$3rd$$ item $$+0.25$$(size of $$4th$$ item)$$-$$(size of $$3rd$$ item)
$$=151+0.25(151-151)=$$Rs.$$151$$
$${ Q }_{ 3 }=$$ Size of $$\displaystyle\frac { 3(N+1) }{ 4 } th=9.75th$$ item
$$=$$ size of $$9th$$ item $$+0.75$$(size of $$10th$$ item)$$-$$(size of $$9th$$ item)
$$=162+0.75(162-162)=$$Rs.$$162$$
$$\therefore$$ Quartile Deviation $$\displaystyle=\frac { 1 }{ 2 } \left( { Q }_{ 3 }-{ Q }_{ 1 } \right) =\frac { 11 }{ 2 } =$$Rs.$$5.5$$
Question 6
1 / -0

Standard deviation for first 10 natural numbers is

A
$$5.5$$

B
$$3.87$$

C
$$2.97$$

D
$$2.87$$

Solution

Standard deviation of first $$n$$ natural number is $$\displaystyle =\sqrt{\frac{n^2-1}{12}}=\sqrt{\frac{10^2-1}{12}}=2.87$$
Question 7
1 / -0

The quartile deviation of daily wages (in Rs.) of 7 persons given below:
$$12,7,15,10,17,17,25$$ is

A
$$4.5$$

B
$$9$$

C
$$5$$

D
$$14.5$$

Solution

Writing the series in ascending order $$7,10,12,15,17,19,25$$
$$\displaystyle{ Q }_{ 1 }=\frac { 15+7 }{ 2 } =11,{ Q }_{ 3 }=\frac { 25+15 }{ 2 } =20$$
$$\therefore$$ Quartile Deviation
$$\displaystyle=\frac { { Q }_{ 3 }-{ Q }_{ 1 } }{ 2 } =\frac { 20-11 }{ 2 } =4.5$$
Question 8
1 / -0

Let $${ x }_{ 1 },{ x }_{ 2 },.....{ x }_{ n }$$ be $$n$$ observations with mean $$m$$ and standard deviation $$s$$. Then the standard deviation of the observations $$a{ x }_{ 1 },a{ x }_{ 2 },.....a{ x }_{ n }$$, is

A
$$a+s$$

B
$$s/a$$

C
$$\left| a \right| s$$

D
$$as$$

Solution

$$S.D(ax) = \sqrt{E[ax-a\bar{x}]^2}=\sqrt{E[a(x-\bar{x})^2]}=\sqrt{a^2.E[(x-\bar{x})^2]}=|a|.\sqrt{E[(x-\bar{x})^2]}=|a|.S.D(x)=|a| s$$
Question 9
1 / -0

Standard deviation for first 10 even natural numbers is

A
$$11$$

B
$$7.74$$

C
$$5.74$$

D
$$11.48$$

Solution

We know standard deviation of first $$n$$ even natural number is $$, \sigma =\sqrt{\cfrac{n^2-1}{3}}$$
Here $$n =10$$
$$\therefore \sigma = \sqrt{\cfrac{100-1}{3}}=\sqrt{33}=5.74$$
Question 10
1 / -0

Consider the frequency distribution
Class interval:
0-6
6-12
12-18
Frequency:
2
4
6
The variance of the above frequency distribution, is

A
$$24$$

B
$$12$$

C
$$20$$

D
$$25$$

Solution

Class interval $$f_i$$ $$x_i$$ $$d_i={x_i-A}$$ $$d_i^2$$ $$f_id_i^2$$ $$f_id_i$$
0-6 2 3 -6 36 72 -12
6-12 4 9 0 0 0 0
12-18 6 15 6 36 216 36
Here,$$N=\sum {f_i }=12$$
$$\sum {f_id_i^2}=288$$
$$\sum {f_id_i}=24$$

Now, variance $$\displaystyle { \sigma }^{ 2 }=\frac { \sum { f_{ i }d_{ i }^{ 2 } } }{ N } -{ \left( \frac { \sum { f_{ i }d_{ i } } }{ N } \right) }^{ 2 }$$

$$\Rightarrow \displaystyle { \sigma }^{ 2 }=\frac { 288 }{ 12 } -{ \left( \frac { 24 }{ 12 } \right) }^{ 2 }$$

$$\Rightarrow { \sigma }^{ 2 }=20$$

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Time Period	Distance covered
8am-9am	$$10 - 0 = 10 km$$
9am-10am	$$16 - 10 = 6 km$$
10am-10.30am	$$0 km$$
10.30am-12am	$$22 - 16= 6 km$$

S.NO.	Income(Rs)
1	139
2	150
3	151
4	151
5	157
6	158
7	160
8	161
9	162
10	162
11	173
12	175

Class interval	$$f_i$$	$$x_i$$	$$d_i={x_i-A}$$	$$d_i^2$$	$$f_id_i^2$$	$$f_id_i$$
0-6	2	3	-6	36	72	-12
6-12	4	9	0	0	0	0
12-18	6	15	6	36	216	36

Descriptive Statistics Test 22

Result

Descriptive Statistics Test 22

Score

-

Rank

-

SHARING IS CARING

Question 1

Tuesday

Wednesday

Thursday

Friday

Solution

Question 2

$$16$$

$$18$$

$$20$$

$$22$$

Solution

Question 3

9:00 a.m - 9.30 a.m

9:30 a.m - 10.00 a.m

10:00 a.m - 10.30 a.m

10:30 a.m - 11.00 a.m

Solution

Question 4

8 a.m to 9 a.m

9 a.m to 10 a.m

10 a.m to 11 a.m

11 a.m to 12 noon

Solution

Question 5

4.5

5.5

6.2

none of these

Solution

Question 6

$$5.5$$

$$3.87$$

$$2.97$$

$$2.87$$

Solution

Question 7

$$4.5$$

$$9$$

$$5$$

$$14.5$$

Solution

Question 8

$$a+s$$

$$s/a$$

$$\left| a \right| s$$

$$as$$

Solution

Question 9

$$11$$

$$7.74$$

$$5.74$$

$$11.48$$

Solution

Question 10

$$24$$

$$12$$

$$20$$

$$25$$

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.