Statistics Test

Result

Statistics Test - 22

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Weekly Quiz Competition

Question 1
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 2
1 / -0

The class mark of $$ 95-100$$ is

A
$$100$$

B
$$97.5$$

C
$$95$$

D
$$95.5$$

Solution

Class mark of a given interval is given by the following formula:
Class-mark $$=\dfrac{\mathrm{Lower class}+\mathrm{Upper class}}{2}$$ $$=\dfrac{(95+100)}{2} = 97.5$$
Question 3
1 / -0

In the class interval $$30-40$$, $$30$$ is

A
Frequency

B
Range

C
Upper limit

D
Lower limit

Solution

$$30$$-lower limit,
$$40$$-upper limit
Question 4
1 / -0

In a bar chart:

A
rectangles are of equal lengths

B
width of rectangles is fixed

C
rectangles are drawn with unequal shapes between them

D
width of rectangles carry important meaning

Solution

In a bat chart, width of rectangle is fixed
Question 5
1 / -0

Histogram are a great way to show results of _________.

A
categories

B
continuous data

C
both $$A$$ and $$B$$

D
None of these

Solution

We know, histogram is a graphical representation of data using bars with no gap in between, i.e. it shows continuous data.
Also, the height of the bar shows the frequency of the class-interval.

Hence, option $$B$$ is correct.
Question 6
1 / -0

Which type of data can be represented by histogram?

A
Grouped data

B
Ungrouped data

C
Continuous data

D
None of these

Solution

Histogram represents grouped data
Question 7
1 / -0

Directions For Questions

The frequency table of the weights (in kilograms) of the student is given alongside.
Answer the question with reference to the given data.
Class intervals (wt. in kg) Frequency (No. of student)
$$40 - 45$$ $$8$$
$$45 - 50$$ $$15$$
$$50 - 55$$ $$14$$
$$55 - 60$$ $$9$$
$$60 - 65$$ $$3$$

...view full instructions

What is the upper and lower limit of the class $$55- 60$$?

A
$$55, 60$$

B
$$55, 55$$

C
$$60, 60$$

D
$$60, 55$$

Solution

$$60$$ is the upper limit and $$55$$ is the lower limit of the class $$55-60$$
Question 8
1 / -0

Fill in the blank$$:$$
$$___________$$ frequency is defined as a running total of frequencies.

A
Variable

B
Accelerate

C
Data

D
Cumulative

Solution

Cumulative frequency is defined as a running total of frequencies.
"The frequency is the no. of times an event occurs within a given scenario. Cumulative frequency is defined as the running of frequencies. It is the sum of all the previous frequencies up to the current point.
D) Cumulative
Question 9
1 / -0

Directions For Questions

$$70$$ number of student's heights are measured in cm as shown in the histogram.

...view full instructions

How many students have heights between $$180 - 200$$?

A
$$10$$

B
$$24$$

C
$$15$$

D
$$7$$

Solution

From the histogram, the class width of number of students:
$$120 - 140$$ is $$4$$
$$140 - 160$$ is $$10$$
$$160 - 180$$ is $$24$$
$$180 - 200$$ is $$10$$
$$200 - 220$$ is $$15$$
$$220 - 240$$ is $$7$$.

Therefore, $$10$$ is the number of student's height between the interval $$180-200$$.

Hence, option $$A$$ is correct.
Question 10
1 / -0

The following frequency distribution gives the monthly consumption of electricity of $$68$$ consumers of a locality. In which class interval, the number of consumers are the highest?

A
$$105-125$$

B
$$125-145$$

C
$$145-165$$

D
$$185-205$$

Solution

The highest number of consumers are at the class interval $$125-145.$$
So, the highest frequency is $$20$$ at the interval $$125-145.$$

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Re-Attempt Weekly Quiz Competition

Class intervals (wt. in kg)	Frequency (No. of student)
$$40 - 45$$	$$8$$
$$45 - 50$$	$$15$$
$$50 - 55$$	$$14$$
$$55 - 60$$	$$9$$
$$60 - 65$$	$$3$$

Statistics Test - 22

Result

Statistics Test - 22

Score

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Rank

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SHARING IS CARING

Question 1

$$2$$

$$3$$

$$4$$

$$8$$

Solution

Question 2

$$100$$

$$97.5$$

$$95$$

$$95.5$$

Solution

Question 3

Frequency

Range

Upper limit

Lower limit

Solution

Question 4

rectangles are of equal lengths

width of rectangles is fixed

rectangles are drawn with unequal shapes between them

width of rectangles carry important meaning

Solution

Question 5

categories

continuous data

both $$A$$ and $$B$$

None of these

Solution

Question 6

Grouped data

Ungrouped data

Continuous data

None of these

Solution

Question 7

$$55, 60$$

$$55, 55$$

$$60, 60$$

$$60, 55$$

Solution

Question 8

Variable

Accelerate

Data

Cumulative

Solution

Question 9

$$10$$

$$24$$

$$15$$

$$7$$

Solution

Question 10

$$105-125$$

$$125-145$$

$$145-165$$

$$185-205$$

Solution

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