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
If X̅ = 20 is the mean of 10 observations x1, x2, ... x10; then what is the value of \(\displaystyle \sum_{i=1}^{10}\left(\frac{3 x_i-4}{5}\right) ?\) ?
What is the mean of the numbers 1, 2, 3, ... 10 with frequencies 9C0, 9C1, 9C2 ..., 9C9, respectively?
Which one of the following measures of central tendency is used in construction of index numbers?
The mean of five numbers is 30. If one number is excluded, their mean becomes 28. The excluded number is
The ‘less than’ ogive curve and the ‘more than’ ogive curve intersect at
