ANALYZING A HISTOGRAM

A histogram is a type of bar graph whose bars represent the frequencies of numeric data within intervals.

To analyze a histogram, let us consider the situation given below. 

A birdwatcher counts and records the number of birds at a bird feeder every morning at 9:00 for several days.

12, 3, 8, 1, 1, 6, 10, 14, 3, 6, 2, 1, 3, 2, 7

Let us make a histogram for the above data.

Analyzing the above histogram :

The highest bar is for the interval 1–4, which means that on more than half the days (8 out of 15), the birdwatcher saw only 1–4 birds.

The bars decrease in height from left to right, showing that it was more likely for the birdwatcher to see a small number of birds rather than a large number on any given day.

Practice Questions

Question 1 : 

Look at the data given in the histogram and answer the questions. 

(i)  How many students have scored marks from 0 to 10 ? 

(ii)  Find the interval of marks have been scored by maximum number of students.

(iii)  How many students have scored marks from 70 to 90 ? 

(iv)  What is the difference between the number of students in scoring marks from 60 to 70 and 90 to 100 ?

(v)  Find the total number of students in the mark interval 40 to 60.  

Answers : 

(i)  4

(ii)  40 to 50

(iii)  8

(iv)  3

(v)  30  

Question 2 :

Look at the data given in the histogram and answer the questions. 

(i) How many trees do have the height from 15.5 to 20.5 meters ? 

(ii) Find the interval of height where the maximum number of trees are there. 

(iii) How many trees do have the height from 35.5 to 40.5 meters ? 

(iv) What is the difference between the number of trees in the height 20.5 to 25.5 and 45.5 to 50.5 ?

(v)  Find the total number of trees in the height interval 45.5 to 55.5 meters.

Answers : 

(i)  10

(ii)  40.5 to 45.5

(iii)  45

(iv)  20

(v)  55

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