Presentation of Data Test

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Presentation of Data Test - 33

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Weekly Quiz Competition

Question 1
1 / -0

What is the total number of students in the class?

A
$$74$$

B
$$84$$

C
$$94$$

D
None of these

Solution

Total Number of students in class
$$=$$ Sum of all frequencies of intervals
$$= 4+8+20+40+22$$$$=94$$
Question 2
1 / -0

Plot the frequency curve for the histogram and find the same marks in which maximum student have scored?

A
$$80-100$$

B
$$40-60$$

C
$$60-80$$

D
None of these

Solution

$$Class\,Interval\,(Marks)$$ $$No\,of\,students$$
$$0-20$$ $$4$$
$$20-40$$ $$6$$
$$40-60$$ $$20$$
$$60-80$$ $$40$$
$$80-100$$ $$22$$
$$\Rightarrow$$ From above frequency table we can see, number of students score marks between $$60-80$$ are $$40$$ which is maximum.
$$\therefore$$ The same mark in which maximum students score marks are $$60-80$$.
Question 3
1 / -0

How a frequency curve is sketched?

A
Frequency curve is sketched with the help of histogram by joining the end points of rectangles.

B
Frequency curve is sketched with the help of histogram by joining the mid point of rectangle.

C
Frequency curve is sketched with the help of histogram by joining the starting points of rectangles.

D
None of these

Solution

Curve formed by joining the midpoint of rectangular of histogram is called as frequency curve.
Question 4
1 / -0

In the above histogram, how many students have scored marks upto 40?

A
$$22$$

B
$$12$$

C
$$10$$

D
$$16$$

Solution

Number of students scored marks upto $$40$$
$$=$$ Number of students score between $$0$$ to $$20$$ + Number os students score between $$20$$ to $$40$$
$$=4+8$$
$$=12$$
Question 5
1 / -0

Plot the frequency curve for the histogram and find the mode of the histogram?

A
$$30$$

B
$$22$$

C
$$40$$

D
None of these

Solution

Mode of histogram $$=$$ Frequency tallest bar
$$=$$ Highest frequency of a class
$$=40$$ (Class interval $$(60-80))$$
Question 6
1 / -0

In a factory, there are $$1000$$ workers out of which $$400$$ are men and $$100$$ are married. Out of $$600$$ women, $$300$$ are married. Tabulate this data and calculate the total number of unmarried workers.

A
$$400$$

B
$$600$$

C
$$700$$

D
$$800$$

Solution

Married Workers Unmarried Workers
Men $$100$$ $$x$$
Women $$300$$ $$y$$

Total number of men $$= 400$$
$$\therefore 100 + x = 400$$
$$x = 300$$

Total number of women $$= 600$$
$$\therefore 300 + y = 600$$
$$y = 300$$
Total number of unmarried workers $$= x + y = 600$$
Question 7
1 / -0

There are $$500$$ students in a class in which there are $$100$$ boys. 50 boys like Mathematics and 100 girls dislike Mathematics. Tabulate the given data and calculate the number of girls who like the subject Mathematics.

A
$$50$$

B
$$100$$

C
$$150$$

D
$$300$$

Solution

Like Mathematics Dislike Mathematics
No. of Boys $$50$$ $$y$$
No. of Girls $$x$$ $$100$$
Total number of students $$= 500$$
Number of boys $$= 100$$
Number of girls $$= 400$$

$$50 + y = 100$$ $$\Rightarrow y= 50$$
$$x + 100 = 400$$ $$\Rightarrow x= 300$$

$$\therefore$$ Number of girls who like Mathematics $$= 300$$
Question 8
1 / -0

The population of Maharashtra is $$100$$ lacs, Madhya Pradesh is $$125$$ lacs and that of Haryana is $$75$$ lacs. Tabulate this data and find the total population of all the three states.

A
$$200$$ lacs

B
$$225$$ lacs

C
$$300$$ lacs

D
$$420$$ lacs

Solution

State Maharashtra Madhya Pradesh Haryana
Population $$100$$ lacs $$125$$ lacs $$75$$ lacs
Total population of all the three states $$= 100 + 125 + 75 = 300$$ lacs
Question 9
1 / -0

Which year showed the best result in MBA entrance exams (in terms of percentage of students who cleared?)

A
2000

B
2001

C
2002

D
cannot be determined

Solution

Number of students appeared in $$2000$$ $$=170$$
Students cleared any of the MBA exams $$=140$$
Percentage of students who cleared the exam $$=\dfrac{140}{170}\times 100=82.35$$

Number of students appeared in $$2001$$ $$=180$$
Students cleared any of the MBA exams $$=150$$
Percentage of students who cleared the exam $$=\dfrac{150}{180}\times 100=83.33$$

Number of students appeared in $$2002$$ $$=200$$
Students cleared any of the MBA exams $$=160$$
Percentage of students who cleared the exam $$=\dfrac{160}{200}\times 100=80$$

So the percentage is maximum in $$2001$$
Option $$B$$ is correct.
Question 10
1 / -0

The pie chart given shows the expenditure of a family on various items and its savings during a year.
Study the pie chart and answer the following questions
If the total annual income of the family is Rs. $$75,000$$, what is the expenditure on children education?

A
Rs. $$9000$$

B
Rs. $$9500$$

C
Rs. $$8500$$

D
Rs. $$5600$$

Solution

Total annual income of the family is Rs. $$75,000$$.
Children education is $$12\%$$
So, expenditure on children education is $$ 75000 \times \dfrac {12 }{100} $$
Thus expenditure is Rs. $$ 9000$$.