Statistics Test

Result

Statistics Test - 15

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

Mean of 10 values is 32.6. If another values is included the mean becomes 31. The included value is

A
$$16$$

B
$$14$$

C
$$15$$

D
$$19$$

Solution

Included value $$\displaystyle =31\times 11-32.6\times 10=15$$
Question 2
1 / -0

The algebraic sum of the deviations of a set of value of a data from their mean is

A
> 0

B
0

C
<0

D
none

Solution

If $$\bar{x_{1}}$$ and $$\bar{x_{2}}$$ are the means of the two groups computed from the values $$n^{1}$$ and $$n^{1}$$ then the mean $$\bar{x}$$ is given by the formula
$$\bar{x}$$ = $$\frac{n_{1}\bar{x_{1}+n_{2}}\bar{x_{2}}}{n_{1}+n_{2}}$$
So $$x^{1}+x_{2}+x_{2}..........x_{n}=n\bar{x}$$
Replacing each observation by $$\bar{x}$$ , we get
$$\bar{x}+\bar{x}+\bar{x}............\bar{x}=n\bar{x}$$
If every value of the variable x is either increased, decreased, divided or multiplied by a constant, the observations so obtained also increases, decreases, gets multiplied or gets divided respectively by the same constant.
Algebraic sum of the deviation of a set of values from their arithmetic mean is 0
Question 3
1 / -0

Which of the following is not changed for the observations $$31, 48, 50, 60, 25, 8, 3x, 26, 32?$$ (where $$x$$ lies between $$10$$ and $$15$$)

A
A.M.

B
Range

C
Median

D
Q.D.

Solution

Range of a set of data is the difference between highest and lowest values in the set.

Observations: For $$x\in (10, 15), 31, 48, 50, 60, 25, 8, 3x, 26, 32$$
Order: $$8, 25, 26, 30, 31, 32, 33, 39, 42, 45, 48, 50, 60$$
Range$$=$$highest$$-$$lowest$$=60-8=52$$
$$\therefore$$ Range doesn't changes.
Question 4
1 / -0

The arithmetic mean of first five natural number is

A
$$2$$

B
$$3$$

C
$$4$$

D
$$8$$

Solution

Formula used:
$$\text{Arithmetic mean}= \dfrac{\text{Sum of given numbers}}{\text{Total numbers}}$$

Apply the above formula, we get
$$\text{Arithmetic mean}=\cfrac{1+2+3+4+5}{5}$$
$$=3$$
Question 5
1 / -0

If the standard deviation for the marks obtained by a student in monthly tests is 36 then the variance is

A
6

B
36

C
1296

D
none of these

Solution

Standard deviation defined the square root of varian
Standard deviation=$$\sqrt{variance}$$
Given Standard deviation=36
$$36=\sqrt{V}$$ (where V is s tendered deviation
Square both sides
$$(36)^{2}=V\Rightarrow V=1296$$
Question 6
1 / -0

Consider the data: $$2, 3, 2, 4, 5, 6, 4, 2, 3, 3, 7, 8, 2, 2$$. The frequency of $$2$$ is _____

A
$$4$$

B
$$5$$

C
$$6$$

D
$$3$$

Solution

Number of times $$ 2 $$ occurs in the given data is $$ 5 $$

So, frequency of $$ 2 $$ in given data is $$ 5 $$.
Question 7
1 / -0

The difference between he maximum and the minimum observations in the data is

A
class interval

B
frequency

C
cumulative frequency

D
range

Solution

In statistics, range is defined simply as the difference between the maximum and minimum observations. It is intuitively obvious why we define range in statistics this way - range should suggest how diversely spread out the values are, and by computing the difference between the maximum and minimum values, we can get an estimate of the spread of the data.
Then difference between he maximum and the minimum observations in the data is range
Question 8
1 / -0

The range of the data
25,18,20,22,16,6,17,12,30,32,10,19,8,11,20 is

A
$$20$$

B
$$16$$

C
$$18$$

D
$$26$$

Solution

The range of the data=Highest vale-lowest value
Highest value= 36
Lowest value=6
$$\therefore$$Range of the data=$$32-6=24$$
Question 9
1 / -0

The _____ is the value that appears most often in a set of data.

A
mean

B
median

C
mode

D
range

Solution

The mode is the value that appears most often in a set of data.
Example: In a group of data: $$2, 3, 4, 5, 5, 6, 6, 7, 8, 5$$
$$5$$ is the mode. (Since $$5$$ occurs $$3$$ three times in the given data)
Question 10
1 / -0

Mode of the distribution is that value of the variate for which the_____is_____

A
frequency, maximum

B
Frequency, minimum

C
frequency, arithmetic mean

D
median, mode

Solution

Mode of the distribution is that value of the variate for which the frequency is maximum.

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Statistics Test - 15

Result

Statistics Test - 15

Score

-

Rank

-

SHARING IS CARING

Question 1

$$16$$

$$14$$

$$15$$

$$19$$

Solution

Question 2

> 0

0

<0

none

Solution

Question 3

A.M.

Range

Median

Q.D.

Solution

Question 4

$$2$$

$$3$$

$$4$$

$$8$$

Solution

Question 5

6

36

1296

none of these

Solution

Question 6

$$4$$

$$5$$

$$6$$

$$3$$

Solution

Question 7

class interval

frequency

cumulative frequency

range

Solution

Question 8

$$20$$

$$16$$

$$18$$

$$26$$

Solution

Question 9

mean

median

mode

range

Solution

Question 10

frequency, maximum

Frequency, minimum

frequency, arithmetic mean

median, mode

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.