40, 53, 47, 55, 42, 46, 50, 42, 54, 49, 40, 54, 43, 40, 44, 55, 49, 53
Mode Calculation for Given Data
The mode is the value that appears most often in a dataset. To find the mode, we count the occurrences of each number.
Data Set Analysis
The given data is:
40, 53, 47, 55, 42, 46, 50, 42, 54, 49, 40, 54, 43, 40, 44, 55, 49, 53
Frequency Count
Let's determine how many times each number appears:
- 40: 3 times
- 42: 2 times
- 43: 1 time
- 44: 1 time
- 46: 1 time
- 47: 1 time
- 49: 2 times
- 50: 1 time
- 53: 2 times
- 54: 2 times
- 55: 2 times
Identifying the Mode
Compare the frequencies to find the number that occurs most frequently.
The number 40 appears 3 times, which is more than any other number in the list.
Therefore, the mode of the data is 40.
Important Questions from Measures of Central Tendency
A random sample of 20 people is classified in the following table according to their ages:
Age
Frequency
15 – 25
2
25 – 35
4
35 – 45
6
45 – 55
5
55 - 65
3
What is the mean age of this group of people?
The median of the following observations 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33 is 58. If 92 is replaced by 99 and 41 by 43 in the above data. The new median is:
If the difference of mode and median is 36, then the difference of median and mean is:
In a Mathematics test 15 students scored 80 marks, 20 students scored 75 marks, 28 students scored 65 marks and 25 students scored 60 marks, mode of the score is:
If the mode of the scores 10, 12, 13, 15, 15, 13, 12, 10, x is 15, then what is the value of x?
