Understanding the Mode Calculation
The mode of a set of observations is the value that occurs most frequently. To find the mode, we need to count how many times each number appears in the dataset and identify the number with the highest count.
Identifying Observations and Frequencies
The given observations are:
35, 32, 28, 27, 25, 32, 31, 27, 32, 30, 32, 27, 31, 34, 32, 22
Let's list the frequency of each unique observation:
| Observation | Frequency |
|---|---|
| 22 | 1 |
| 25 | 1 |
| 27 | 3 |
| 28 | 1 |
| 30 | 1 |
| 31 | 2 |
| 32 | 5 |
| 34 | 1 |
| 35 | 1 |
Determining the Mode
By examining the frequencies, we can see that the observation 32 appears 5 times, which is more than any other observation in the list.
Therefore, the mode of the given observations is 32.
Important Questions from Elementary Statistics
What is the mode of the given data?
3, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 3, 2What is the mode of the given data?
21, 22, 23, 23, 24, 21, 22, 23, 21, 23, 24, 23, 21, 23A bowler has taken 0, 3, 2, 1, 5, 3, 4, 5, 5, 2, 2, 0, 0, 1 and 2 wickets in 15 consecutive matches. What is the mode of the given data?
The data given below shows the number of people who have saved a certain amount of money.
Saving (In Rs.)
Number of people
5
1
15
3
20
4
25
2
30
1
35
1
40
2
What is the median of the given data?
If the ratio of mean and median of a certain data is 4 : 5, then find the ratio of its mean and mode.
