The wickets taken by a bowler in 10 cricket matches are as follows: Find the mode of the data.
Step-by-Step Solution
Key Concept: The <b>mode</b> of a data set is the value that occurs most frequently. To determine the mode, list the data, count the frequency of each distinct value, and identify the value with the highest frequency.
1. Write down the data (as given in the example):
$$\{2,\;3,\;5,\;2,\;4,\;2,\;6,\;3,\;2,\;5\}$$
2. Create a frequency table:
| Wickets (x) | Frequency (f) |
|------------|---------------|
| 2 | 5 |
| 3 | 2 |
| 4 | 1 |
| 5 | 2 |
| 6 | 1 |
3. Identify the largest frequency. The maximum frequency is 5, which corresponds to the value \(x = 2\).
4. State the mode: Since \(2\) occurs most often, the mode of the data set is \(2\).
Correct Answer: Mode = 2 wickets