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
What is mean deviation about the median ?
The mode and median of a data is 26.7 and 71, respectively. What is the mean of the data? (Use empirical formula.)
Study the given table and answer the question that follows. The given table depicts the percentage of marks scored by Mary and Perul in History and Physics (out of 75 each).
Name History Physics Mary
60
64
Perul
54
70
How many marks did Mary score in History?
The average of eight numbers is 14. The average of six of these numbers is 16. The average of the remaining two numbers is:
The value of
(1 + cot²θ)(1 + cosθ)(1 - cosθ) - (1 - sinθ)(1 + sinθ)(1 + tan²θ) is: (θ lies in the first quadrant)
