Mean Of A Dot Plot

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A dot plot is a type of plot that displays the distribution of values in a dataset using dots.

The x-axis shows the individual data values and the y-axis shows the frequency of each value.

This tutorial explains how to calculate the mean, median, and mode of a dot plot.

Instance: Summate Mean, Median & Mode of Dot Plot

Suppose we have the following dot plot that shows the distribution of values for a given dataset:

In guild to calculate the hateful, median, and mode for this dot plot, we must first write out the values for the dataset.

For example, nosotros can see that the value "1" occurs four times, the value "2" occurs 3 times, the value "3" occurs one fourth dimension, and so on.

We can write out the following values for this dataset:

Values: 1, 1, 1, i, 2, ii, ii, 3, 4, 5, 5, 6, six, 6, 6, 7, eight, x

We tin can at present calculate the hateful, median, and fashion.

Hateful

To find the mean of this dataset, nosotros tin can add upwardly all of the individual values and split by the total sample size of 18:

Hateful = (1+1+i+ane+2+2+two+iii+4+five+5+6+6+6+6+seven+viii+ten) / 18 = 4.22.

The mean turns out to be 4.22. This is the average value of the dataset.

Median

To find the median of this dataset, nosotros tin can write out all of the individual values in order and place the value that lies direct in the middle:

i, one, i, one, 2, 2, two, 3, 4 , five , v, 6, six, vi, vi, seven, viii, x

There are ii values in the heart: iv and 5. Thus, the median is the average of these two values, which is 4.v.

Thus, the median is iv.v. This is the value located directly in the middle of the dataset.

Way

To discover the way of this dataset, we can place the values that occur nigh often:

ane , 1 , 1 , i , 2, 2, 2, three, 4, v, 5, six , 6 , half-dozen , half dozen , 7, viii, ten

This dataset has 2 modes: 1 and 6. Each of these values occurs four times in the dataset.

Boosted Resources

The following tutorials provide boosted information on dot plots:

Dot Plot vs. Histogram: What's the Difference?
How to Notice the Center and Spread of a Dot Plot

The following tutorials explain how to create dot plots using different software:

How to Create a Dot Plot in Google Sheets
How to Create a Dot Plot in Excel
How to Create a Dot Plot in R

Mean Of A Dot Plot,

Source: https://www.statology.org/dot-plot-mean-median-mode/

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