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
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
The observations 4, 1, 4, 3, 6, 2, 1, 3, 4, 5, 1, 6 are outputs of 12 dices thrown simultaneously. If m and M are means of lowest 8 observations and highest 4 observations respectively, then what is (2m + M) equal to ?
The mean of the series x 1, x 2… x nis X̅. If x 2 is replaced by λ, then what is the new mean?
The mean of a group of 100 observations was found to be 20. Later it was found that four observations were incorrect, which were recorded as 21, 21, 18 and 20. What is the mean if the incorrect observations are omitted?
