86, 84, 71, 82, 82, 63, 84, 71, 70, 86, 88, 65, 71, 81, 87, 60, 60, 74, 78, 62, 75, 66, 68, 85, 72
Finding the Mode of the Data Set
The mode is the value that occurs most often in a set of data.
Steps to Calculate the Mode
- List all the data points provided.
- Tally the frequency (count) of each distinct number.
- Determine which number has the highest frequency.
Frequency Analysis of the Data
The data set consists of the following numbers: 86, 84, 71, 82, 82, 63, 84, 71, 70, 86, 88, 65, 71, 81, 87, 60, 60, 74, 78, 62, 75, 66, 68, 85, 72.
Counting the occurrences of each number results in the following frequencies:
| Number | Frequency |
|---|---|
| 60 | 2 |
| 62 | 1 |
| 63 | 1 |
| 65 | 1 |
| 66 | 1 |
| 68 | 1 |
| 70 | 1 |
| 71 | 3 |
| 72 | 1 |
| 74 | 1 |
| 75 | 1 |
| 78 | 1 |
| 81 | 1 |
| 82 | 2 |
| 84 | 2 |
| 85 | 1 |
| 86 | 2 |
| 87 | 1 |
| 88 | 1 |
Mode Identification Result
Observing the frequency table, the number 71 appears 3 times, which is the highest frequency compared to all other numbers in the data set.
Thus, the mode of the given data is 71.
Similar Questions
- What is the mode of the following data?
44, 45, 51, 50, 53, 54, 46, 40, 51, 46, 40, 42, 55, 42, 44, 55, 49, 44 - The marks obtained by 9 students of a class in mathematics are 76, 85, 47, 67, 85, 76, 47, 76, 67. What is the mode of these numbers?
- What is the mode of the following data?
89, 76, 76, 88, 81, 81, 65, 90, 83, 89, 64, 63, 78, 64, 82, 87, 79, 89, 87, 65, 86, 77, 80, 70, 67 - What is the mode of the following data?
89, 89, 64, 86, 64, 79, 81, 85, 82, 81, 75, 85, 82, 84, 61, 82, 81, 64, 74, 71, 61, 68, 77, 64, 79 - What is the mode of the following data?
55, 50, 48, 43, 55, 41, 54, 51, 41, 45, 53, 54, 52, 41, 49, 54, 41, 49 - What is the mode of the following data?
70, 70, 73, 71, 74, 69, 80, 68, 66, 66, 89, 83, 81, 86, 82, 74, 86, 87, 67, 72, 62, 76, 86, 65, 62 - What is the mode of the following data?
78, 60, 85, 76, 84, 86, 73, 89, 78, 77, 60, 63, 62, 72, 61, 78, 67, 77, 61, 78, 75, 61, 88, 66, 69 - What is the mode of the following data?
70, 79, 66, 89, 68, 80, 82, 80, 71, 84, 69, 68, 61, 85, 71, 84, 68, 86, 73, 75, 83, 88, 64, 88, 65 - What is the mode of the following data?
48, 42, 46, 42, 44, 43, 48, 49, 48, 45, 53, 46, 47, 47, 49, 53, 50, 41
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.
