Statistics Test

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Statistics Test - 17

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Weekly Quiz Competition

Question 1
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
$$3$$

B
$$4$$

C
$$5$$

D
$$6$$

Solution

In the data series: $$2, 3, 2, 4, 5, 6, 4, 2, 3, 3, 7, 8, 2, 2$$
$$2$$ occurs $$5$$ times, hence its frequency is $$5$$
Question 2
1 / -0

The mid-point of a class intervals is called:

A
class interval

B
class mark

C
class limit

D
upper limit

Solution

Class mark is defined as the mean of the lower limit and upper limit.
Hence, the mid point of a class interval is called the class mark.
Question 3
1 / -0

The formula $$\dfrac{Upper\ class\ limit + Lower\ class\ limit }{2}$$ is known as

A
Class mark

B
Class interval

C
Upper limit

D
Lower limit

Solution

True. Class Mark is given by $$\dfrac{Upper class limit + Lower class limit }{2}$$
Question 4
1 / -0

The number of times a particular item occurs in a class interval is called its:

A
mean

B
frequency

C
cumulative frequency

D
none of these

Solution

The number of times a particular item is occurs in a class interval is called its frequency.
For, example the data set is $$1,2,3,3,5,6,12,14,23,12,22,16,18$$. In the data set the frequency of the class interval $$10-15$$ is $$3$$ i.e., the values in the class interval are $$12,14,12$$
Question 5
1 / -0

The mean of $$x, y, z$$ is $$y$$, then $$x+z =$$

A
$$y$$

B
$$2y$$

C
$$3y$$

D
$$zy$$

Solution

The question tells us that the mean of $$x, y$$ and $$z$$ is $$y$$.

i.e. $$ \dfrac {x+y+z}{3} =y $$

i.e. $$x+z=3y-y$$

$$\rightarrow x+z=2y$$
Question 6
1 / -0

In the class interval $$35-46$$, the lower limit is _____

A
$$35$$

B
$$38$$

C
$$40$$

D
$$43$$

Solution

For the class interval, $$ 35 - 46$$
Lower limit $$= 35$$
Upper limit $$= 46$$
Question 7
1 / -0

The mid-value of $$20-30$$ is _____

A
$$23$$

B
$$22$$

C
$$25$$

D
$$26$$

Solution

Mid value $$= \dfrac{\text{Lower Limit} + \text{Upper limit}}{2}$$
Mid Value $$= \dfrac{20 + 30}{2}$$
Mid Value $$= 25$$
Question 8
1 / -0

A class interval of a data has $$15$$ as the lower limit and $$25$$ as the size then the class mark is :

A
$$26.5$$

B
$$27$$

C
$$27.5$$

D
None of these

Solution

Given,
Lower limit $$= 15$$
Size of class interval $$= 25$$
Upper limit $$= \text{lower limit }+ \text{ size} = 15 + 25$$ = $$40$$
Class mark is calculated from mean of lower and upper limit.
Class mark $$ =\dfrac{ \text{lower limit }+ \text{upper limit }}{2}$$
$$= \dfrac{15 + 40}{2}$$
$$=27.5$$
Question 9
1 / -0

$$0-10, 10-20, 20-30 ...$$ so on are the classes, the lower boundary of the class $$20-30$$ is _____

A
$$20$$

B
$$21$$

C
$$18$$

D
$$22$$

Solution

Lower boundary means the lower limit of the class interval.
The lower limit of $$20 - 30$$ is $$20$$.
Question 10
1 / -0

Which one of the following groups has different class size from others?

A
$$120 - 125$$

B
$$243 - 249$$

C
$$141.5 - 146.5$$

D
$$315.5 - 320.5$$

Solution

Class size $$=$$ Upper limit $$-$$ lower limit

All other classes have a class size $$= 5$$ except, $$243-249$$ which has a size of $$6$$

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Re-Attempt Weekly Quiz Competition

Statistics Test - 17

Result

Statistics Test - 17

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SHARING IS CARING

Question 1

$$3$$

$$4$$

$$5$$

$$6$$

Solution

Question 2

class interval

class mark

class limit

upper limit

Solution

Question 3

Class mark

Class interval

Upper limit

Lower limit

Solution

Question 4

mean

frequency

cumulative frequency

none of these

Solution

Question 5

$$y$$

$$2y$$

$$3y$$

$$zy$$

Solution

Question 6

$$35$$

$$38$$

$$40$$

$$43$$

Solution

Question 7

$$23$$

$$22$$

$$25$$

$$26$$

Solution

Question 8

$$26.5$$

$$27$$

$$27.5$$

None of these

Solution

Question 9

$$20$$

$$21$$

$$18$$

$$22$$

Solution

Question 10

$$120 - 125$$

$$243 - 249$$

$$141.5 - 146.5$$

$$315.5 - 320.5$$

Solution

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