Mode: Statistical Definition
The mode represents the value that appears most often in a dataset. It's the most frequent measurement or observation.
Understanding the Options
- Option A: "The size of the measurement which occurs most frequently." This correctly defines the mode.
- Option B: "Size of the middle item when the items are arranged in the order of magnitude." This describes the median, not the mode.
- Option C: "Average score/value of the group of data." This defines the mean (average).
- Option D: "The difference between the size of the largest and smallest items." This describes the range.
Identifying the Mode
To find the mode, you simply look for the number or category that repeats the most times within the given data. For example, in the dataset {2, 3, 3, 4, 5}, the mode is 3 because it appears twice, more than any other number.
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
