Data Collection Methods: Overview, Questions, Preparation

Data collection is a process of collecting, analyzing, arranging/aligning, and executing the relevant steps. The process of data Collection is taught in the 10th standard through the chapter on statistics. In this chapter, you collect, arrange, analyze, interpret, present, and organize the data. 

Types of Data Collection Methods

There are various types of data collection methods that are taught. Some of them are:

• Categorical Data
• Nominal Data
• Ordinal Data
• Numerical Data
• Discrete Data
• Continuous Data

We all know that data is nothing else but a collection of facts that includes numbers, measurements, and many other things. There are various ways by which the representation of data can be easily done. Some of them are:

• Bar Graph
• Pie Chart
• Line Graph
• Pictograph
• Histogram
• Frequency Distribution

The chapter Statistics is taught to students for the first time in 10th standard. After that, the chapter gets more depth, and in the 12th standard’s final exam, it holds around 8 marks.

1. What will be the mean and the mode of the following data: 2, 3, 5, 6, 10, 6, 12, 6, 3, 4.

Solution.

Total number of Count: 10

Sum of all the numbers: 2+3+5+6+10+6+12+6+3+7=60

Mean = (sum of all the numbers) / (Total number of items)

Mean = 60/10 = 6

Now, Number 6 is occurring 3 times, therefore Mode = 6.

2. What is the median and the mode of the marks given below. All the marks are out of 10 and are obtained by 20 students:

4, 6, 5, 9, 3, 2, 7, 7, 6, 5, 4, 9, 10, 10, 3, 4, 7, 6, 9, 9

Solution.

4, 6, 5, 9, 3, 2, 7, 7, 6, 5, 4, 9, 10, 10, 3, 4, 7, 6, 9, 9

After arranging them in ascending order: 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 9, 9, 9, 9, 10, 10

Let the number of observations be= n = 20

Median = (10th  + 11th observation)/2

= (6 + 6)/2

= 6

The most frequent observations = 9

Therefore, the mode is 9.

3. A bag has 4 green, 5 blue, and 5 red balls in it. Sameer is asked to randomly pick out 2 balls from that basket without replacing any of them, and then one more ball has to be picked after that. What is the probability he picked 2 green balls and 1 blue ball?

Solution.

Total number of balls = 14

Probability of getting

1 green ball = 4/14

another green ball = 3/13

1 blue ball = 5/12

Probability of picking 2 green balls and 1 blue ball = 4/14 * 3/13 * 5/12 = 5/182.

Q: What are the types of statistics?

Q: Is there further application/use of data collection methods or statistics in our lives?

Q: How will define statistics, and how is it relevant to data collection?

Q: What are the main things that you need to find in this chapter?

Q: How can we find mean, median, mode, and range?