Representing Data as a Histogram

Q.

In a school ⅝ students are boys. If there are 240 girls the find the number of boys in the school.

Q. In how many ways, can the students answer 3 true or false type questions in a slip test?

1. 8

Q.

Statement 1: Histograms are used to show the distribution of variables.

Statement 2: Bar graphs are used to compare variables.

1. Both the statements are correct

2. Only 1 is correct

3. Only 2 is correct

4. None of the statements are correct

Q.

The marks (out of $100$) obtained by a group of students in a science test are $85,76,90,85,39,48,56,95,81,$ and $75.$ What is the range of marks that is scored by the maximum number of students?

1. $40-50$
2. $70-80$
3. $80-90$
4. $90-100$

Q.

There are no gaps between bars in a histogram. Why?

1. There are no gaps between intervals

2. It is followed by convention

3. None of the above

4. The graph must look symmetric

Q. Out of 120 people in a room, 3/5 are women.If 2/3 of the people are married, then what is maximum number of women in the room who could be unmarried?
(A)40
(B)20
(C)30
(D)60

Q.

The figure below shows a histogram of heights of cherry trees. Find the correct statement(s) among the options.

1. Total number of trees is 31

2. The most common range of height of trees is 70-75 feet

3. Number of trees in the height range 60 - 65 is 3

4. Total number of trees is 32

Q.

Consider the following two statements.
Statement - 1: The area of rectangles in a histogram are proportional to the corresponding frequencies.
Statement - 2: The height of rectangles in a histogram are proportional to the corresponding frequencies.
Which of the following is/are correct?

1. Statement 1 is true and statement 2 is false.
2. Statement 1 is false and statement 2 is true.
3. Both the statement 1 and 2 are true
4. Both the statement 1 and 2 are false.

Q.

The marks obtained by a student in a subject in three different tests were 20, 12, (-4). What are the total marks obtained by the student in that subject? What is the minimum number of marks he needs to score in the 4th test if the passing marks are 40?
[2 MARKS]

Q.

For how many hours did maximum number of students watch TV?

1. 2-3 hrs

2. 2-4 hrs

3. 8 hrs

4. 4-5 hrs

Q.

The number of students whose height is more than 150 cm is

1. 8

2. 3

3. 1

4. 12

Q.

Following histogram represents the height of the students in a class.:

(i) Find the number of students whose height falls in the range 145 - 160

(ii) Find the height range with the highest frequency.

1. (i) 17, (ii) 150 - 155

2. (i) 14, (ii) 150 - 155

3. (i) 17, (ii) 145 - 150

4. (i) 6, (ii) 160 - 165

Q.

Choose the correct Tally chart that represents the following data.

The following shows the marks obtained by 20 students of a class in a math test (out of 10 marks)

4, 7 , 8, 10, 10, 9 , 3 , 5 , 7 , 8

8 , 4, 9, 3, 10, 8, 9 , 5, 7, 8

1. 
2. 
3. 
4. 

Q.

Statement 1: A histogram is a graph of rectangles representing the categories of data.

Statement 2: Width of the rectangles gives us the quantity of data we are interested in.

1. Statement 1 and 2 both are false

2. Statement 1 and 2 both are true

3. Statement 1 is true and 2 is false

4. Statement 1 is false and 2 is true

Q. In a subdivided bar graphs, information of two or more constituents is shown in a single bar by dividing it horizontally.

1. True
2. False

Q. The given graph shoes the performance of the cricket team in a match, observe it and find out the correct table.

1. No. of players	2	4	6	7
   Score	60	100	170	220

2. No. of players	2	4	6	7
   Score	40	100	180	220

3. No. of players	2	4	6	7
   Score	40	100	170	220

4. No. of players	40	100	180	220
   Score	2	4	6	7

Q.

$20\%$ of the length of a flagpole is painted green, $45\%$ is painted yellow and the remaining red. If the length of the pole is $18m$, what length of it is painted red ?

Q.

The marks of maximum number of students fall in the range of __________.

1. 20-30

2. 80-90

3. 90-100

4. 40-50

Q. The length of a class interval in the given histogram is ____ .

1. 5
2. 5.5
3. 10.5
4. 10

Q. Duration of watching TV by certain number of students are reperesented graphically in the histogram. How many students watch TV for 4 hours and more?

1. 35
2. 25
3. 50
4. 55

Q. The number of hours for which students of a particular class watched television during holidays is shown through the given graph. Answer the following.
(i) For how many hours did the maximum number of students watch TV?
(ii) How many students watched TV for less than 4 hours.
(iii) How many students spent more than 5 hours in watching TV.

Q. The height of the bars in a histogram represents _______ .

1. range
2. class
3. interval
4. frequency

Q.

What percent of cars are blue in color?

1. 21%

2. 15%

3. 27%

4. 18%

Q.

Harry measured the temperature at 2 p.m. at the same spot in his garden and recorded his results to the nearest degree (°F) for each day in the year (365 days).

On approximately what percent of the days was the 2 p.m temperature above 40°F but less than 70°F?

1. Approximately 60%

2. Approximately 80%

3. Approximately 70%

4. Approximately 50%

Q.

Find the frequency of $27$ in the following data.

$27,24,29,19,16,27,24,22,10,27,22,28$

Q.

The following histogram represents the age group of doctors enrolled in a certain program. Find the number of doctors

(i) who are in the age group between 25-35

(ii) how many doctors belong to the age group between 45 - 50

(iii) Number of doctors below the age group of 25

1. (i) 100 (ii) 20 (iii) 0

2. (i) 50 (ii) 10 (iii) 5

3. (i) 90 (ii) 15 (iii) 0

4. (i) 105 (ii) 25 (iii)15

Q.

For the given data set, you wish to make a histogram. What will be the width of each bar, given that 2.5kg is 1 unit in the x axis?

$$\begin{array}{cc}\text{Weights(Kg)}& \text{No. of persons}\\ 40-45& 4\\ 45-50& 12\\ 50-55& 13\\ 55-60& 6\\ 60-65& 5\end{array}$$

1. 5

2. 10

3. 15

4. 20

Q. The number of hours for which students of a particular class watched television during holidays is shown in the given graph. Below is the histogram for above frequency table:


For how many hours did the maximum number of students watch T.V?

Q. The given graph shoes the performance of the cricket team in a match, observe it and find out the correct table.

1. No. of players	2	4	6	7
   Score	40	100	170	220

2. No. of players	2	4	6	7
   Score	60	100	170	220

3. No. of players	40	100	180	220
   Score	2	4	6	7

4. No. of players	2	4	6	7
   Score	40	100	180	220

Q.

The tally chart shows the amount of rainfall in different cities. Find the cities having highest and lowest rainfall.