Category: Mean Median and Mode
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Choosing the Best Measure
Introduction We can find either of the three measures of center for a given data set. However, we find that one of the three is the best measure to describe the given data. Rules to find the best measure to describe data Example 1 Which is the best measure to describe set of data given…
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Finding Outliers in a Data Set
Introduction Outliers are data points that dont fit the pattern of rest of the numbers. They are the extremely high or extremely low values in the data set. A simple way to find an outlier is to examine the numbers in the data set. We will see that most numbers are clustered around a range…
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Changing a Value Affects
Introduction In this lesson we are given a data set. We find its mean and median. Then one of its data is changed. We then find the changed mean and changed median after one of the data has been changed. Example 1 Find new mean and new median of the data set if a data…
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Mean and Median of a Data Set
Introduction The median of data set is found as follows. The numbers of the data set are arranged in an increasing ordecreasing order. We look for the middle number in the data set and it is the median of the data set. If the number data are odd, there will be one middle number which will be…
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Score that will yield a Given Mean
Introduction In this lesson, we are given a data set. We are given a new mean of the data set and are required find a new data member which when added will yield the new mean of the changed data set. Rules to find new score that will yield a new given mean Example 1…
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Sample Size, and Sum of a Data Set
Introduction In this lesson, we solve problems involving, the sample size, sum of a data set and its mean. Any two of these three quantities are given and we find the third unknown quantity using the relation between these 3 quantities. Formula Example 1 The average of x and 3 is equal to the average…
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Mean of a Symmetric Distribution
Introduction Symmetrical distribution is a situation in which the values of variables occur at regular frequencies, and the mean, median and mode occur at the same point. Unlike asymmetrical distribution, symmetrical distribution does not skew. Example 1 Find the mean of the following symmetric distribution. 1, 1, 4, 4, 5, 6, 7, 7, 10, 10…
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Understanding the Mean Graphically
Introduction In this lesson we understand the mean of a dataset using graphical method. Suppose we are given a bar graph showing two bars of data. Here we are required to find the mean of given data graphically. Rules to find the mean graphically Example 1 The two bars in a bar graph have heights…
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Range from a Line Plot
Introduction A line plot of a data set shows the various numbers of the data set along the x axis as per a convenient scale. It also shows the number of occurrences of each of the numbers as crosses. The smallest and largest numbers among the data set also find a place on the line…
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Finding the Mode and Range
Introduction Range is a measure of variance of the data. The measure of centre gives an average value of the data set while the range gives a measure of how far the data is spread out. Rules to find the range of a data set Example 1 Find the mode and range of the set…