Descriptive Statistics Test 35

Result

Descriptive Statistics Test 35

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Weekly Quiz Competition

Question 1
1 / -0

Study the graph and answer the following questions.
How many less burgers were sold on Thursday than on Monday?

A
$$50$$

B
$$20$$

C
$$35$$

D
$$10$$

Solution

Number of burgers sold on Thursday $$= 30$$
Number of burgers sold on Monday $$= 50$$
Required difference $$= 50 - 30$$
$$ = 20$$
Question 2
1 / -0

Find the Quartile Deviation for the following set of data:
$$490, 540, 590, 600, 620, 650, 680, 770, 830, 840, 890, 900$$

A
$$12$$

B
$$122.5$$

C
$$13$$

D
$$12.6$$

Solution

$$490, 540, 590, 600, 620, 650, 680, 770, 830, 840, 890, 900$$
$$Q_d=\dfrac{Q_3-Q_1}{2}$$
$$Q_d\rightarrow$$ Quality deviation
$$Q_1\rightarrow 25^{th}$$ perentile
$$Q_3\rightarrow 75^{th}$$ perentile
$$Q_1=\left(\dfrac{n+1}{4}\right)$$th term
$$=\dfrac{13}{4}$$th term
$$=3.25$$th term
$$=3^{rd}$$ term$$+0.25\times (4^{th}$$ term$$-3^{rd}$$ term$$)$$
$$=590+0.25\times (600-590)$$
$$=590+0.25\times 10$$
$$Q_1=592.5$$
$$Q_3=\dfrac{3(n+1)}{4}$$th term
$$=\dfrac{3}{4}\times 13=9.75^{th}$$ term
$$=9^{th}$$ term$$+0.75\times (10^{th}$$ term$$-9^{th}$$ term$$)$$
$$=830+0.75\times (840-830)$$
$$=830+7.5$$
$$Q_3=837.5$$
$$Q_d=\dfrac{Q_3-Q_1}{2}$$
$$=\dfrac{837.5-592.5}{2}=\dfrac{245}{2}=122.5$$.
Question 3
1 / -0

The given pictograph shows the number of students of class V participated in different games at Annual Diwali Mela. How many students tried the dart board?

A
$$45$$

B
$$182$$

C
$$140$$

D
$$136$$

Solution

If we study the given pictograph carefully, we can see that one ball represents $$17$$ students.
Against dart board, we can see $$8$$ balls.
So, the number of students who participated in dart board $$=17\times 8=136$$

Hence, $$136$$ students tried the dart board.
Question 4
1 / -0

Which of the following are positional measure of dispersion?

A
Standard Deviation, Variance

B
Percentile, Variance

C
Quartile, Variance

D
Percentile,Quartile

Solution

Percentile,Quartile are positional measure of dispersion because it tells about the position of a particular data value has within a data set.
Standard deviation, Variance are computational measure of dispersion.
Question 5
1 / -0

Directions For Questions

The following pictograph shows the number of scooters sold by a company during a week. Study the pictograph carefully and answer the questions given below.

...view full instructions

How many scooters were sold on Mondays?

A
$$30$$

B
$$35$$

C
$$40$$

D
$$45$$

Solution

$$1$$ scooter's photo$$= 6$$ scooters
On Monday, there are $$5$$ scooters' photo.
So the total no. of scooters sold are $$5\times 6=30$$

Question 6

1 / -0

Directions For Questions

The table and pictograph which show the number of school teachers in some cities.

Name of City	No. of School Teachers
Hyderabad	4200
Delhi	2400
Chennai	3000

Name of City	No. of School Teachers
Hyderabad	$$\Delta \quad \Delta \quad \Delta \quad \Delta \quad \Delta \quad \Delta \quad \Delta$$
Chennai	$$\Delta \quad \Delta \quad \Delta \quad \Delta \quad \Delta $$
Delhi	$$?$$

...view full instructions

How many school teachers does each smiley represent?

$$500$$

$$600$$

$$700$$

$$800$$

Solution

We have given that $$7$$ smiley is equal to $$4200$$.

So one smiley $$=\dfrac { 4200 }{ 7 } =600 $$

So option $$ B $$ is correct.

Question 7
1 / -0

Four balls A, B, C and D are placed inside a container, one after another. The bar graph shows the weight of the container when empty and when different balls are placed in it. Which ball is the heaviest?

A
A

B
B

C
C

D
D

Solution

From the above graph we can conclude that
Weight of the bucket is $$80$$
Weight of the ball A= $$180-80=100$$
Weight of the ball B= $$360-180=180$$
Weight of the ball C= $$500-360=140$$
Weight of the ball D= $$580-500=80$$
Hence the correct answer is option B.
Question 8
1 / -0

Which of the above states is the largest producer of wheat?

A
M.P.

B
Haryana

C
Maharashtra

D
U.P.

Solution

From the given graph, U.P. has highest production of wheat with $$16$$ million tonnes being produced, and has tallest bar.
Question 9
1 / -0

Study the graph carefully and answer the question given below it.
In which year did the import register highest increase over its preceding year ?

A
$$1973$$

B
$$1974$$

C
$$1975$$

D
$$1978$$

Solution

Year Wheat Import (in thousand Tonnes)
1971 3465
1972 1811
1973 2413
1974 4203
1975 7016
1976 5832
1977 2000
1978 2500
Clearly as show in the graph,

Highest Wheat import is in Year $$1975$$ $$=$$ $$7016$$ Thousand Tonnes
Question 10
1 / -0

If $$b_{i} = 1 - a_{i}, na = \displaystyle \sum_{i = 1}^{n} a_{i}, nb = \displaystyle \sum_{i = 1}^{n}b$$, then $$\displaystyle \sum_{i = 1}^{n}a_{i}b_{i} + \displaystyle \sum_{i = 1}^{n} (a_{i} - a)^{2} =$$

A
$$ab$$

B
$$-nab$$

C
$$(n + 1)ab$$

D
$$nab$$

Solution

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Re-Attempt Weekly Quiz Competition

Year	Wheat Import (in thousand Tonnes)
1971	3465
1972	1811
1973	2413
1974	4203
1975	7016
1976	5832
1977	2000
1978	2500

Descriptive Statistics Test 35

Result

Descriptive Statistics Test 35

Score

-

Rank

-

SHARING IS CARING

Question 1

$$50$$

$$20$$

$$35$$

$$10$$

Solution

Question 2

$$12$$

$$122.5$$

$$13$$

$$12.6$$

Solution

Question 3

$$45$$

$$182$$

$$140$$

$$136$$

Solution

Question 4

Standard Deviation, Variance

Percentile, Variance

Quartile, Variance

Percentile,Quartile

Solution

Question 5

$$30$$

$$35$$

$$40$$

$$45$$

Solution

Question 6

$$500$$

$$600$$

$$700$$

$$800$$

Solution

Question 7

A

B

C

D

Solution

Question 8

M.P.

Haryana

Maharashtra

U.P.

Solution

Question 9

$$1973$$

$$1974$$

$$1975$$

$$1978$$

Solution

Question 10

$$ab$$

$$-nab$$

$$(n + 1)ab$$

$$nab$$

Solution

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