Statistics Test

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Statistics Test - 40

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Weekly Quiz Competition

Question 1
1 / -0

If the two observations are $$10$$ and $$0$$, their arithmetic mean is _______.

A
$$10$$

B
$$0$$

C
$$5$$

D
none of the above

Solution

Arithmetic mean refers to the average amount in a given group of data. In this measure of central tendency, all the data are added up and then divided by the number of figures in the data in order to ascertain the mean.
Therefore,
Arithmetic mean $$= \dfrac{(10+0)}{2}$$

$$= \dfrac{10}{2}$$

$$= 5$$
Question 2
1 / -0

The average (arithmetic mean) of a set of seven numbers is $$8$$. When an eighth number is added to the set, the average of the eight numbers is still $$8$$. What number was added to the set?

A
$$6$$

B
$$7$$

C
$$8$$

D
$$9$$
Question 3
1 / -0

The sum of first $$n$$ natural numbers is given by the expression $$(2n^{2}+3n)$$. The mean of the given numbers is

A
$$\left(\dfrac{2}{n}+3\right)$$

B
$$\left(2+\dfrac{3}{n}\right)$$

C
$$(2+3n)$$

D
$$(2n+3)$$

Solution
Question 4
1 / -0

In a school marks obtained by $$10$$ students in mathematics test as given below:
$$18, 12, 36, 24, 40, 60, 23, 09, 70, 62$$
Find Range of this data :

A
$$23$$

B
$$61$$

C
$$09$$

D
$$70$$

Solution

$$ Formula\,used $$
$$ Range=highest\,value-\,lowest\,value $$
$$ Given $$
$$ marks\text{ obtained by 10 students as } $$
$$ \text{18,12,32,24,40,60,23,09,70,62} $$
$$ \text{Arrange the marks in increasing order as} $$
$$ 09,12,18,23,24,32,40,60,62,70 $$
$$ Range=70-09=61 $$
Question 5
1 / -0

The mean of first ten prime numbers is

A
$$12$$

B
$$12.9$$

C
$$13$$

D
$$14$$

Solution

First 10 prime numbers are $$2,3,5,7,11,13,17,19,23,29$$
Formula used:
$$Arithmetic\ mean= \dfrac{Sum\ of\ given\ numbers}{Total\ numbers}$$

Apply the above formula, we get

Mean=$$\frac{2+3+5+7+11+13+17+19+23+29}{10}=12.9$$
Question 6
1 / -0

The AM of first $$5$$ whole numbers is:

A
$$1$$

B
$$2$$

C
$$3$$

D
$$5$$

Solution

The first $$5$$ whole numbers are $$0, 1, 2, 3, 4$$.

We know that,
$$Arithmetic\ mean= \dfrac{Sum\ of\ given\ numbers}{Total\ numbers}$$

Apply the above formula, we get

$$Arithmetic\ mean= \dfrac{0+1+2+3+4}{5}$$
$$= \dfrac{10}{5}$$
$$= 2$$

Hence, option $$(b)$$ is correct.
Question 7
1 / -0

The marks (out of $$10$$) obtained by $$28$$ students in a
Mathematics test is listed below:
$$8, 1, 2, 6, 5, 5, 5, 0, 1, 9, 7, 8, 0, 5, 8, 3, 0, 8, 10, 10, 3, 4,
8, 7, 8, 9, 2, 0
$$
The number of students who
scored marks less than $$4$$ is

A
$$15$$

B
$$13$$

C
$$12$$

D
$$10$$

Solution

We are looking for students with marks less than $$4$$ i.e marks equal to $$0,1,2,3$$
There, are $$10$$ numbers less than $$4$$ in given list.
So, the number of students who obtained marks less than $$4$$
is $$10$$.
hence, option $$D$$ is correct.
Question 8
1 / -0

The range of the data $$ 30,61,55,56,60,20,26,46,28,56 $$ is

A
$$ 26 $$

B
$$ 30 $$

C
$$ 41 $$

D
$$ 61 $$

Solution

Range of Data= Maximum value - Minimum value $$= 61-20=41. $$
Question 9
1 / -0

Some integers are marked on a board. The range of these integers is

A
31

B
37

C
20

D
3

Solution

The highest observation is $$20$$
Lowest observation $$= -17$$
The difference between the highest and lowest observations in a given data is called its Range.
Range = Highest – lowest
Therefore,
Range = $$20-(-17)= 20+17=37$$
Question 10
1 / -0

The range of the data : $$21,6,17,18,12,8,4,13$$ is

A
17

B
12

C
8

D
15

Solution

In given data, the highest observation is $$21$$ and the lowest one is $$4$$.

Range $$=$$ Highest observation $$-$$ lowest observation
$$=21-4=17$$

Hence, option (A) is the correct answer.

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Re-Attempt Weekly Quiz Competition

Statistics Test - 40

Result

Statistics Test - 40

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SHARING IS CARING

Question 1

$$10$$

$$0$$

$$5$$

none of the above

Solution

Question 2

$$6$$

$$7$$

$$8$$

$$9$$

Question 3

$$\left(\dfrac{2}{n}+3\right)$$

$$\left(2+\dfrac{3}{n}\right)$$

$$(2+3n)$$

$$(2n+3)$$

Solution

Question 4

$$23$$

$$61$$

$$09$$

$$70$$

Solution

Question 5

$$12$$

$$12.9$$

$$13$$

$$14$$

Solution

Question 6

$$1$$

$$2$$

$$3$$

$$5$$

Solution

Question 7

$$15$$

$$13$$

$$12$$

$$10$$

Solution

Question 8

$$ 26 $$

$$ 30 $$

$$ 41 $$

$$ 61 $$

Solution

Question 9

31

37

20

3

Solution

Question 10

17

12

8

15

Solution

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