Histogram with Varying Widths

Q.

Draw a histogram table for the following data:

$\begin{array}{ccccc}\text{Class~interval}& 1-10& 11-20& 21-30& 31-40\\ \text{Frequency}& 7& 12& 15& 13\end{array}$

Q. Construct the histogram for the following grouped frequency distribution.

Class intervals	Frequency
0-35	42
35-50	30
50-60	20
60-100	48

1. 
2. 
3. 
4. 

Q. Question 4
Draw a histogram to represent the following grouped frequency distribution

$\begin{array}{cc}Age\left(inyears\right)& Numberofteachers\\ 20-24& 10\\ 25-29& 28\\ 30-34& 32\\ 35-39& 48\\ 40-44& 50\\ 45-49& 35\\ 50-54& 12\end{array}$

Q. Marks of students of class VIII-B are distributed in the grouped frequency distribution table given below.

Class intervals (Marks)	Number of Students
0-30	25
30-40	35
40-60	27
60-100	13

What is the length of the bar in the histogram for the 4th class interval ?

1. 13
2. 26
3. 3.25
4. 100

Q. The given histogram shows the number of people of different age group staying in a hotel. Find the correct statement(s) among the options.

1. Total number of people in 0-20 age group is 10.
2. Total number of people in 0-20 age group is 5.
3. Maximum number of people are from age group of 21-30 years.
4. Maximum number of people are from age group of 0-20 years.

Q. Construct a histogram for the frequency distribution table given below:
$\begin{array}{cccc}\text{Runs scored (Class interval)}& \text{Number of students}& \text{Class length}& \text{Height of bar}\\ 0-35& 28& 35& \\ 35-50& 12& 15& \\ 50-60& 16& 10& \\ 60-100& 44& 40& \end{array}$

Q. Number of people of different age groups staying in a hotel is shown in the histogram given below?

What is the total number of people having age less than 30?

1. 20
2. 25
3. 15
4. 5

Q. Construct the histogram for the following grouped frequency distribution.

Class intervals	Frequency
0 - 35	70
35 - 50	15
50 - 60	20
60 - 100	40

1. 
2. 
3. 
4. 

Q. Construct the histogram for the following grouped frequency distribution.

Class intervals	Frequency
1-35	25
36-50	16
51-60	10
61-100	40

1. 
2. 
3. 
4. 

Q. When constructing a histogram with non-uniform (unequal) class widths, we must ensure that the areas of the rectangles are proportional to the ___________.

1. Class width
2. Class sizes
3. Class frequencies
4. Range

Q. Marks of students of class VIII-B are distributed in the grouped frequency distribution table given below.

Class intervals (Marks)	Number of Students
0 - 20	25
20 - 30	35
30 - 60	27
60 - 75	13
75 - 82	24
82 - 94	12
94 - 100	4

What is the length of the bar in the histogram for the 5th class interval ?

1. 24
2. 12
3. 20
4. 20.6

Q. Construct the histogram for the following grouped frequency distribution.

Class intervals	Frequency
0-35	42
36-50	30
51-60	20
61-100	48

1. 
2. 
3. 
4. 

Q. Frequency per unit class length in histogram is calculated if _____.

1. inclusive class intervals are given.
2. class length is varrying.
3. average of the data is equal to the greater than cumulative frequency.
4. area of frequency polygon is 2 times the area of histogram.