Sample Problems on Grouping of Data

Question 1: A die was thrown 25 times and the following scores were obtained:

2, 5, 2, 4, 3, 6, 1, 4, 2, 5, 1, 6, 2, 6, 3, 5, 4, 1, 3, 2, 3, 6, 1, 5, 2

Create a frequency table of the scores.

Solution:

The frequency table of the scores obtained when a die is thrown can be shown as –

Die	Tally marks	Scores (frequency)
1	||||	4
2	|||| |	6
3	||||	4
4	|||	3
5	||||	4
6	||||	4

Question 2: Make the bar graph for the data given in the literature example in the beginning. 

Solution:

Let’s make the table for the given data 

Author	Number of Occurrences
Kafka	9
Camus	8
Nietzsche	3

Let’s put the names of authors on the x-axis and number of occurrences on the y-axis.

Question 3: Make histogram for the data given below: 

1, 2, 2, 1, 5, 5, 4, 10, 4, 5, 7, 10, 9, 8, 9, 9, 11

Solution:

Let’s assume an interval size of 3 and make a frequency table. 

Groups	Frequency
0-3	3
3-6	4
6-9	2
9-12	6

Let’s plot these intervals on graph. 

Question 4: The data given below represents the usage per day in minutes for Spotify for a particular person. 

5, 10, 12, 7, 20, 13, 30, 25, 20, 50, 30, 24, 17, 63, 24, 30, 15, 10, 40, 24, 15, 18, 20, 11. 

Make a frequency table and a histogram for this data. 

Solution:

Before making a histogram, we need to group the data and make a frequency distribution for it. 

Let’s assume the interval size to be 10. 

Interval	Frequency
0-10	2
10-20	8
20-30	7
30-40	3
40-50	1
50-60	1
60-70	1

Question 5: Answer the following questions by observing the given histogram. 

1. What is the information given by the histogram 
2. Which group contains the maximum girls. 
3. How many girls have marks more than 145. 

Solution:

1. The histogram represents the total marks obtained the girls in the class.
2. The group 140-150 contains the maximum number of girls.
3. 9 girls have marks more than 145.

People Also Read:

• Grouping Method of Calculating Mode in Discrete Series
• Data Handling
• Real Life Applications of Data Handling

Grouping of Data: Data Handling or Handling of data is not just a mathematical term but is used in everyday life. When there is a requirement to record, gather, and present any type of information or data, data handling is preferably used. Statistics is a word we often hear, is not but another term for data handling. From making a bar chart of favorite candies of different students to representing a large survey done on COVID-19 cases, data handling is used and preferred.

This information in such cases is called Data. Data can be represented in both statistical ways and graphical ways. Graphical ways usually visually appealing are also easier to understand by a common person. There are many ways to represent data graphically: 

1. Pictograph 
2. Bar Graph 
3. Double Bar Graph