In these lessons, we will learn how to determine the mode of a given set of data. We will also compare between mode, mean, and median.
In statistics, mode, median and mean are typical values to represent a pool of numerical observations. They are calculated from the pool of observations.
Mode is the most common value among the given observations. For example, a person who sells ice creams might want to know which flavor is the most popular.
Median is the middle value, dividing the number of data into 2 halves. In other words, 50% of the observations is below the median and 50% of the observations is above the median.
Mean is the average of all the values. For example, a teacher may want to know the average marks of a test in his class.
The following diagrams show how to find the mean, median, mode and range. Scroll down the page for examples and solutions.
The mode of a set of observations is the value that occurs most frequently in the set. A set of observations may have no mode, one mode or more than one mode.
Find the mode of the following set of scores.
14 11 15 9 11 15 11 7 13 12
The mode is 11 because 11 occurred more times than the other numbers.
If the observations are given in the form of a frequency table, the mode is the value that has the highest frequency.
Find the mode of the following set of marks.
The marks 2 and 3 have the highest frequency. So, the modes are 2 and 3.
Note: The above example shows that a set of observations may have more than one mode.
Find the mode for each of the following frequency tables:
The frequency table below shows the weights of different bags of rice.
|Bags of rice (Frequency)||8||11||7||10||9||10||12||8|
There are 8 number cards with values 0 – 7. Each time a card is drawn at random and the card value is recorded. The frequency refers to the number of times a value is shown.
a) Mode: 75 kg (highest frequency of 12)
b) Mode: 5 (highest frequency of 13)
The following frequency table shows the marks obtained by students in a quiz. Given that 4 is the mode, what is the least value for x?
|Number of students (Frequency)||7||9||10||x||9||11|
x is as least 12
(if x is less than 12 then 4 will not be the mode)
Mean, Median, Mode, Range, Interquartile Range
This lesson shows you how to find the mean, median, mode, range and interquartile range for a list of numbers.
Find the mean, median, mode, range and interquartile range for the following data.
5, 7, 9, 9, 10, 11, 11, 11, 12
Frequency Table - Mean, Median, Mode, Range And Interquartile Range
This lesson shows you how to find the mean, median, mode, range and interquartile range from a frequency table.
Mean, Mode And Median From Frequency Tables
How to find the mean, mode and median from a frequency table for both discrete and grouped data?
For grouped data:
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