Data Handling Test

Result

Data Handling Test - 24

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Weekly Quiz Competition

Question 1
1 / -0

What is the average of four tenths and five thousandths?

A
$$25002$$

B
$$2502$$

C
$$0.225$$

D
$$0.2025$$

E
$$0.02025$$
Question 2
1 / -0

The monthly fees for single rooms at $$5$$ colleges are $$370$$, $$310$$, $$380$$, $$340$$, and $$310$$, respectively. What is the mean of these monthly fees?

A
$$310$$

B
$$340$$

C
$$342$$

D
$$350$$

E
$$380$$

Solution

The mean is same like average. Add all and then divide by the number of colleges.
Average $$=$$ $$\dfrac {(370+310+380+340+310)}{5}=\dfrac {1710}{5}=342$$
Therefore the mean of these monthly fees is $$342$$.
Hence, option $$C$$ is correct.
Question 3
1 / -0

In a class of $$100$$ students there are $$70$$ boys whose average marks in a subject are $$75$$. If the average marks of the complete class is $$72$$, then what is the average of the girls?

A
$$73$$

B
$$65$$

C
$$68$$

D
$$74$$

Solution

Number of boys $$= 70$$
Average marks of boys $$=75$$
Total marks of boys $$=70 \times 75=5250$$
Total marks of the class $$=72 \times 100 =7200$$
Total marks of girls $$=1950$$
Average of the girls $$=\dfrac{1950}{30}=65$$
Question 4
1 / -0

The range of the following data is:
$$84,56,39,45,54,39,56,54,84,21,77,56$$

A
$$55$$

B
$$56$$

C
$$58.5$$

D
$$63$$

Solution

Range of a data is the difference between the smallest and the largest number in the data.
In the guven data:
Smallest number $$=21$$
Largest number $$=84$$
Hence, Range $$={84-21}=63$$
Question 5
1 / -0

The Arithmetic mean of integers from $$-5$$ to $$5$$ is

A
$$3$$

B
$$0$$

C
$$25$$

D
$$10$$

Solution

All integers from $$-5$$ to $$5$$ are:
$$-5,\ -4,\ -3,\ -2,\ -1,\ 0,\ 1,\ 2,\ 3,\ 4,\ 5$$.

We know that, arithmetic mean $$=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}$$

Hence, sum of all numbers $$=(-5)+(-4)+(-3)+(-2)+(-1)+ 0+ 1+2+3+4+5$$
$$=0$$

Total integers $$=11$$

Hence, arithmetic mean $$=\dfrac{0}{11}$$
$$=0$$.

Hence, the arithmetic mean of integers from $$-5$$ to $$5$$ is $$0$$.
Question 6
1 / -0

The Arithmetic mean of all the factors of $$24$$ is

A
$$8.5$$

B
$$5.67$$

C
$$7$$

D
$$7.5$$

Solution

$$\Rightarrow$$ Factors of $$24$$ are $$1,\,2,\,3,\,4,\,6,\,8,\,12,\,24$$
So, the observations are $$1,2,3,4,6,8,12,24$$
$$\therefore$$ Number of observations $$=8$$
Arithmetic mean $$=\dfrac{\text{Sum of observations}}{\text{Number of observations}}$$

$$\therefore$$ Arithmetic mean $$=\dfrac{1+2+3+4+6+8+12+24}{8}$$

$$\therefore$$ Arithmetic mean $$=\dfrac{60}{8}$$

$$\therefore$$ Arithmetic mean $$=7.5$$
Question 7
1 / -0

The mean of first $$5$$ whole numbers is

A
$$2$$

B
$$2.5$$

C
$$3$$

D
$$0$$
Question 8
1 / -0

The mathematical formula for joint probabilities $$P(AB) =P(A/ B)\times P(B)$$, holds when ___________________.

A
The events are statistically independent

B
The events are statistically dependent

C
The event is either independent or dependent

D
None of the above
Question 9
1 / -0

The probability of A passing CPT exam is $$60\%$$ and that of B's Passing is $$70\%$$, what is the probability that both of them will pass CPT exam.

A
$$0.42$$

B
$$1.3$$

C
$$.50$$

D
$$0.77$$
Question 10
1 / -0

The bar graph shows the number of traffic accidents in a country from year $$2000$$ to $$2014$$ . What is the difference between accidents in the year $$2001$$ and $$2004$$.

A
$$60,000$$

B
$$40,000$$

C
$$20,000$$

D
$$45,000$$

Solution

The letter $$k$$ is used to denote $$1000$$

Therefore, Number of traffic accidents in the year $$2001$$ $$=260k$$

$$=260\times1000$$

$$=260,000$$

Number of traffic accidents in year $$2004$$ $$=220k$$

$$=220\times1000$$

$$=220,000$$.

Then, the difference $$=260,000-220,000$$

$$=40,000$$

Therefore, option $$B$$ is correct.

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Re-Attempt Weekly Quiz Competition

Data Handling Test - 24

Result

Data Handling Test - 24

Score

-

Rank

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SHARING IS CARING

Question 1

$$25002$$

$$2502$$

$$0.225$$

$$0.2025$$

$$0.02025$$

Question 2

$$310$$

$$340$$

$$342$$

$$350$$

$$380$$

Solution

Question 3

$$73$$

$$65$$

$$68$$

$$74$$

Solution

Question 4

$$55$$

$$56$$

$$58.5$$

$$63$$

Solution

Question 5

$$3$$

$$0$$

$$25$$

$$10$$

Solution

Question 6

$$8.5$$

$$5.67$$

$$7$$

$$7.5$$

Solution

Question 7

$$2$$

$$2.5$$

$$3$$

$$0$$

Question 8

The events are statistically independent

The events are statistically dependent

The event is either independent or dependent

None of the above

Question 9

$$0.42$$

$$1.3$$

$$.50$$

$$0.77$$

Question 10

$$60,000$$

$$40,000$$

$$20,000$$

$$45,000$$

Solution

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