Prepare a frequency distribution table for the given data:
0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2
Answer (2)
The frequency distribution table for the data shows that the number 0 occurs 7 times, the number 1 occurs 7 times, and the number 2 occurs 6 times. The table summarizes these frequencies in a clear format. This organization helps interpret the results effectively.
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Count the occurrences of each unique value: 0, 1, and 2.
Determine the frequency of each value: 0 appears 7 times, 1 appears 7 times, and 2 appears 6 times.
Create a frequency distribution table with 'Number of Heads' and 'Frequency' columns.
Present the final frequency distribution table:
Number of Heads
Frequency
0
7
1
7
2
6
Explanation
Understand the problem and data We are given a set of data representing the number of heads observed when two coins were tossed 20 times. Our goal is to organize this data into a frequency distribution table, which will show how many times each number of heads (0, 1, or 2) occurred.
Count the occurrences of each value First, we need to count how many times each unique value (0, 1, and 2) appears in the data.
Determine the frequencies After counting the occurrences of each value, we find:
The number 0 appears 7 times.
The number 1 appears 7 times.
The number 2 appears 6 times.
Construct the frequency distribution table Now, we can create the frequency distribution table. The table will have two columns: 'Number of Heads' and 'Frequency'. The 'Number of Heads' column will list the unique values (0, 1, 2), and the 'Frequency' column will show how many times each value occurred.
Present the final frequency distribution table The frequency distribution table is as follows:
Number of Heads
Frequency
0
7
1
7
2
6
This table summarizes the data by showing the frequency of each possible outcome (0, 1, or 2 heads).
Examples
Frequency distribution tables are useful in many real-life scenarios. For example, if you were tracking the number of customers visiting a store each day, you could create a frequency distribution table to see how many days had a certain number of customers. This could help you understand trends and make decisions about staffing or inventory. Similarly, in scientific experiments, frequency distribution tables help summarize the results of repeated measurements.
