Solved Examples and Worksheet for Interpreting Histograms

Q1Arthur has recorded the number of trucks that crossed a bridge every 2 minutes. Find the total number of trucks that crossed the bridge in first 4 min.


A. 9
B. 12
C. 18
D. 8

Step: 1
From the bar graph, compare the height of bar with the scale on the left.
Step: 2
The bar above 0-2 minutes is on 6 on the scale.
Step: 3
The bar above 2-4 minutes is on 3 on the scale.
Step: 4
The number of trucks that crossed the bridge in the first 4 minutes = number of trucks that crossed the bridge from 0-2 minutes + number of trucks that crossed the bridge from 2-4 minutes
Step: 5
= 6 + 3
  [Substitute the values.]
Step: 6
= 9
  [Add.]
Step: 7
The total number of trucks that crossed the bridge in the first 4 minutes is 9.
Correct Answer is :   9
Q2The histogram shows the age groups of working women in a place. Find the number of working women in the age group of 26 - 28 years.


A. 230
B. 210
C. 190
D. 170

Step: 1
The height of each bar in the histogram indicates the number of working women in the corresponding age group.
Step: 2
Number of working women in the age group of 26 - 28 years = number of women in the age group of 26 - 27 years + number of women in the age group of 27 - 28 years
Step: 3
From the histogram, the number of working women in the age group of 26 - 27 years = 90
  [The height of the bar representing 26 - 27.]
Step: 4
The number of working women in the age group of 27 - 28 years = 100
  [The height of the bar representing 27 - 28.]
Step: 5
Number of women in the age group of 26 - 28 years = 90 + 100 = 190
  [Substitute and add.]
Step: 6
So, the number of working women in the age group of 26 - 28 years is 190.
Correct Answer is :   190
Q3The line graph shows the profit a company made in 4 years. Find the profit in the year 2003.

A. $3 million
B. $5 million
C. $4 million
D. $2 million

Step: 1
Each point on the graph indicates the profit the company made in the corresponding year.
Step: 2
From the line graph, we learn that the profit the company made in the year 2003 is $3 million.
Correct Answer is :   $3 million
Q4During which period, was the exports quantity the highest?


A. 2000-01
B. 2001-02
C. 2003-04
D. 1999-2000

Step: 1
From the histogram, The height of the bar during the period 2001-02 is maximum.
Step: 2
So, the exports quality is highest during the period 2001-02 .
Correct Answer is :   2001-02
Q5The histogram shows the number of directors and the number of movies they direct in a year. How many more directors made 2 to 4 movies than those who made 6 to 8 movies ?

A. 10
B. 20
C. 5
D. 15

Step: 1
The height of each bar in the histogram indicates the number of directors who has completed respective number of movies in the year.
Step: 2
From the graph, the number of directors who made 2 to 4 movies in the year is 20.
Step: 3
The number of directors who made 6 to 8 movies in the year is 10.
Step: 4
The difference between the two numbers = 20 - 10 = 10
  [Subtract 10 from 20.]
Step: 5
So, 10 more directors made 2 to 4 movies in the year than those who made 6 to 8 movies.
Correct Answer is :   10
Q6According to the graph below, which is a valid statement?


A. More than 50% of the students scored above 80.
B. More students had scores of 40 or below.
C. More than 50% of the students scored below 60.
D. More students scored 60 - 80 than 80 - 100.

Step: 1
Consider each choice listed. Interpret each choice and compare with the graph shown.
Step: 2
Among the choices, ′more students scored 60 - 80 than 80 - 100′ is a valid statement.
Correct Answer is :   More students scored 60 - 80 than 80 - 100.
Q7A box contains green, red, black and pink colored candles. The numbers of each colored candles are recorded on a bar graph. Name the color which had lowest number of candles.


A. Pink
B. Green
C. Red

Step: 1
The height of a bar in the bar graph represents the number of candles of that particular color.
Step: 2
The bar representing the candles in pink color is the smallest than all the other bars.
Step: 3
So, the pink colored candles are lowest in number.
Correct Answer is :   Pink
Q8A survey shows number of employees who retired from an industry and the results are shown in the histogram. How many employees retired during the period 1990-1998?


A. 650
B. 900
C. 750

Step: 1
From the graph, the number of employees retired from 1990-92 is 250.
Step: 2
From the graph, the number of employees retired from 1992-94 is 200.
Step: 3
From the graph, the number of employees retired from 1994-96 is 300.
Step: 4
From the graph, the number of employees retired from 1996-98 is 150.
Step: 5
So, the number of employees retired from 1990-98 = 250 + 200 + 300+ 150 = 900.
  [Add.]
Correct Answer is :   900
Q9The histogram shows the working hours of employees in a company. Find the number of employees working in between 4 to 7 hours.


A. 5
B. 6
C. 2
D. 4

Step: 1
Number of employees working in between 4 to 7 hours = Height of the rectangle corresponding to the class interval 4 - 7
  [Height of each rectangle represent the frequency of each class.]
Step: 2
= 6
  
Step: 3
So, 6 employees work in between 4 to 7 hours..
Correct Answer is :   6
Q10The graph shows the number of students and their respective scores in a test. Find the number of students who scored in between 84 and 100.

A. 10
B. 12
C. 6
D. 8

Q11The histogram shows the daily wages (in Rs) of 18 workers. How many workers receive more than Rs 70 ?


A. 7
B. 4
C. 3
D. 1

Step: 1
The height of each bar on the histogram tells us how many workers receive the corresponding wages in dollars.
Step: 2
Number of workers who receive more than Rs 70 = Number of workers whose wages is between Rs 70 - 75 + Number of workers whose wages is between Rs 75 - 80
Step: 3
= 3 + 1 = 4
Step: 4
Therefore, 4 workers receive more than Rs 70.
Correct Answer is :   4
Q12A shopkeeper bought 10 boxes of apples. All boxes contained rotten apples. The histogram represents the data. How many boxes had 4 - 6 rotten apples ?

A. 1
B. 2
C. 4
D. 3

Step: 1
The height of each bar on the histogram tells us the number of boxes in which the corresponding range of rotten apples were found.
Step: 2
The bar above the range 4-6 reaches 4 on the scale.
Step: 3
Therefore, 4 boxes had 4 - 6 rotten apples.
Correct Answer is :   4