Calculate mode from the following data of marks obtained by 10(ten) students :
10, 27, 24, 12, 27, 27, 20, 18, 15, 30 :
Calculate Mode for Student Marks Data
The question requires finding the mode from a given list of marks obtained by 10 students. The mode represents the value that occurs most frequently within a dataset.
Data Frequency Analysis
First, list the marks provided:
10, 27, 24, 12, 27, 27, 20, 18, 15, 30
Next, determine the frequency of each distinct mark:
- 10: Appears 1 time
- 12: Appears 1 time
- 15: Appears 1 time
- 18: Appears 1 time
- 20: Appears 1 time
- 24: Appears 1 time
- 27: Appears 3 times
- 30: Appears 1 time
Mode Identification
By observing the frequencies calculated above, the mark 27 appears more times than any other mark in the dataset (it appears 3 times).
Therefore, the mode of the given student marks data is 27.
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
