Question
The marks scored by 10 students are given below.
12, 13, 14, 11, 16, 11, 12, 17, 15, 12
The mode of the data is:
The correct answer is
12
Understanding the Mode of Student Marks Data
The question asks us to find the mode of the marks scored by 10 students. The mode is defined as the value that appears most frequently in a dataset. Let's analyze the given data to find this value.
Data Set Provided
The marks scored by the 10 students are:
- 12
- 13
- 14
- 11
- 16
- 11
- 12
- 17
- 15
- 12
Frequency Analysis of the Data
To find the mode, we need to count how many times each unique mark appears in the dataset. Let's list the marks and their frequencies:
| Marks Scored | Frequency (Number of Students) |
|---|---|
| 11 | 2 |
| 12 | 3 |
| 13 | 1 |
| 14 | 1 |
| 15 | 1 |
| 16 | 1 |
| 17 | 1 |
Identifying the Mode
By examining the frequency table, we can see which mark occurs most often:
- The mark 11 appears 2 times.
- The mark 12 appears 3 times.
- All other marks (13, 14, 15, 16, 17) appear only 1 time.
The value that has the highest frequency is 12, as it appears 3 times, which is more than any other mark in the dataset.
Therefore, the mode of the given data is 12.
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Important Questions from Elementary Statistics
- What is the mode of the following data?
87, 65, 70, 81, 68, 62, 82, 78, 81, 82, 74, 75, 90, 67, 86, 86, 81, 90, 69, 78, 65, 78, 76, 63, 70, 81 - The marks scored by 10 students are given below.
12, 14, 14, 15, 12, 16, 12, 10, 19, 11
The mode of the given data is: - What is the mode of the following data?
67, 75, 81, 70, 65, 61, 65, 84, 75, 76, 85, 89, 62, 84, 72, 74, 89, 68, 83, 60, 82, 82, 66, 77, 75 - The marks scored by 10 students are given below.
10, 19, 18, 18, 13, 14, 16, 18, 16, 12
The mode of the data is: - Find the mean deviation from the mean for the following data set.
58, 65, 42, 66, 49, 59, 44, 45, 62, 60
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