Histogram Questions with Solutions

Here are some questions and solutions related to Histogram discussed below:

Q1. Draw a histogram for the following data distribution:

Data Interval	Frequency
0-10	5
10-20	15
20-30	10
30-40	5

Solution:

The Histogram can be drawn as:

Q2. A frequency table is given below:

Data Interval	Frequency
0-10	10
10-20	15
20-30	5
30-40	20

Answer the following questions:

1. What is the total data points?

2. Find out which interval has the highest frequency.

3. Which interval has the lowest frequency?

Solution:

1. Total data points = sum of all the frequencies. Hence the total data points will be = 10+15+5+20 = 50.

2. The interval (30-40) has the highest frequency of 20.

3. The interval (20-30) has the lowest frequency of 5.

Q3. A following data set has been given: { 12, 14, 10, 13, 16, 18, 17, 15, 21, 11, 20, 23, 25}

1. Determine appropriate intervals and frequencies.

2. Construct a frequency distribution table.

Solution:

1. The appropriate intervals with frequencies are:

Interval : Frequency

10-15 : 6
15-20 : 5
20-25 : 4

2. The frequency table is:

Data Interval	Frequency
10-15	6
15-20	5
20-25	4

Q4. The below histogram shows the weekly wages of workers at a construction site:

Answer the following questions:

1. How many workers get wages of ₹ 500-600?

2. Construct a frequency distribution table.

3. What is the cumulative frequency for the class 400-500?

Solution:

1. 150 workers get wages of ₹ 500-600.

2. The frequency distribution table is:

Daily wages	Number of workers
300-400	200
400-500	300
500-600	150
600-700	250

3. The cumulative frequency for the class 400-500 is = 200+300 = 500.

Q5. Study the given histogram:

1. Prepare a cumulative frequency distribution table for the above histogram.

2. Which interval has the maximum frequency?

Solution:

1. The Cumulative distribution table is:

Data Interval	Frequency	Cumulative Frequency
10-20	30	30
20-30	10	40
30-40	40	80
40-50	50	130

2. The interval (40-50) has the maximum frequency of 50.

Q6: Draw a histogram for the following data distribution:

Class Intervals	Frequency
50-60	20
60-70	50
70-80	40
80-90	30

Solution:

The Histogram can be drawn as:

Q7. Draw a histogram for the following data distribution:

Height (cm)	Number of Boys
40-45	10
45-50	15
50-55	25
55-60	5

Solution:

The histogram is shown as

Q8. Study the comparison of a test result between class A and class B

Class A

Number	Students
60-70	10
70-80	6
80-90	15
90-100	2

Class B

Number	Students
60-70	5
70-80	8
80-90	12
90-100	8

Which class performed better in the test? Answer with explanation.

Solution:

To determine which class performed better we can compare the number of students in the higher score intervals.

For, Class A

From (80-90), students = 15

From (90-100), students = 2

Total = 17

for, Class B

From (80-90), students = 12

From (90-100), students = 8

Total = 20

Therefore, Class B has performed better as it has more number of students in the higher score intervals than Class A.

Q9. Study the table and draw a histogram on these information :

Income Range ( Rs. )	Number of People
30000-35000	10
35000-40000	5
40000-45000	20
45000-50000	5

Solution:

The histogram for the above data is shown below:

Related Articles
Bar Graph	Frequency Polygon
Pie Chart	Cumulative Frequency