MODE
Definition Of Mode
Mode is a number that occurs most frequently in the data set.
More About Mode
The data set with more than one mode is called Multimodal.
Examples of Mode
ideo Examples: Mean Median and Mode
In the given line plot, most number of cross (4) are shown against 20. So 20 is the mode of the given line plot.
The mode of the set M, S, R, S, S, M, M, R, M, R is M, as M is occurred more frequently than S and R.
60, 55, 59, 56, 61, 62, 62, 62, 57, 61
60 in the data set occur only once.
55 in the data set occur only once.
59 in the data set occur only once.
56 in the data set occur only once.
61 in the data set occur twice.
62 in the data set occur thrice.
57 in the data set occur only once.
So, the mode for the above data set is 62 as it occurred most frequently.
Solved Example on Mode
Ques: The data shown below are the weights (in pounds) of different vegetables that Ashley bought.
16, 11, 14, 16, 7, 16, 14, 11, 16, What is the mode of the data?
Choices:
A. 11
B. 7
C. 16
D. 14
Correct Answer: C
Solution:
Step 1: The number that occurs most frequently in a data set is called the mode.
Step 2: 16, 11, 14, 16, 7, 16, 14, 11, 16 [Original scores.]
Step 3: Since the number 16 appears four times, the mode of the data set is 16.
Quick Summary
- The mode represents the most common value in a dataset.
- A dataset can have one mode (unimodal), multiple modes (multimodal), or no mode at all.
- To find the mode, count how many times each value occurs.
🍎 Teacher Insights
Use real-world examples, like favorite colors or shoe sizes, to illustrate the concept of mode. Encourage students to create their own datasets and find the mode. Emphasize the difference between mode, median, and mean to avoid confusion.🎓 Prerequisites
- Basic arithmetic
- Understanding of data sets
Check Your Knowledge
Q1: What is the mode of the following data set: 2, 3, 3, 4, 5, 3?
Q2: Which of the following datasets has no mode?
Frequently Asked Questions
Q: Can a dataset have more than one mode?
A: Yes, a dataset can have multiple modes if two or more values appear with the same highest frequency. This is called multimodal.
Q: What if all numbers in a dataset appear only once?
A: If all numbers in a dataset appear only once, there is no mode.