Join 60,000+ competitive exam aspirants
The wickets taken by a bowler in 10 cricket matches are 2, 6, 4, 5, 0, 2, 1, 3, 2, 3. The mode of the data is:
2
3
1
0
2
Count the occurrences of each number: 2 appears 3 times, 3 appears 2 times, others appear once. The number with the maximum count is 2.
The wickets taken in 10 matches are 2, 6, 4, 5, 0, 2, 1, 3, 2, 3.
Mode=Value┬аwith┬аthe┬аhighest┬аfrequency
Count the occurrences of each number: 2 appears 3 times, 3 appears 2 times, others appear once. The number with the maximum count is 2.
Students often pick the highest number in the set (6) or the median (2.5) instead of the most frequent value.
List the data points
The given data set consists of the numbers: 2, 6, 4, 5, 0, 2, 1, 3, 2, 3.
Data={0,1,2,2,2,3,3,4,5,6}
Determine frequencies
Count how many times each value appears: 0 (1 time), 1 (1 time), 2 (3 times), 3 (2 times), 4 (1 time), 5 (1 time), 6 (1 time).
Frequency┬аof┬а2=3
Identify the mode
The mode is defined as the observation that occurs most frequently. Since the value 2 appears 3 times, which is more than any other number, it is the mode.
Mode=2
A is correct because the number 2 has the highest frequency of 3 occurrences in the given data set.
This is a basic measure of central tendency. In more advanced problems, look for 'bimodal' data sets or grouped data where you must calculate the modal class using the formula Mode=L+2f1тАЛтИТf0тАЛтИТf2тАЛf1тАЛтИТf0тАЛтАЛ├Чh.