Respuesta :

texaschic101
3,31,46,55,59,62,72,73,80,82,90,151

Q1 = (46 + 55) / 2 = 101/2 = 50.5
Q2 (median) = (62 + 72) / 2 = 134/2 = 67
Q3 = (80 + 82) / 2 = 162/2 = 81

IQR = Q3 - Q1 = 81 - 50.5 = 30.5
30.5 * 1.5 = 45.75

Q1 - 30.5 = 50.5 - 30.5 = 20.5...so anything less then 20.5 is an outlier
Q3 + 30.5 = 81 + 30.5 = 111.5...anything more then 111.5 is an outlier

so ur outliers are : 3 and 151

now we find the (mean)average...
(72+82+55+62+73+90+80+59+46+31) / 10 = 650/10 = 65 <==

The Mean of the data set is 65.

Scatter plot

A scatter plot is also known as a scatter chart, a scatter graph that uses dots to represent values for two different numeric variables. Each dot on the graph represents particular data on both axes. An example of a Scatter plot is given in the below image.

Outlier

An outlier is a data point that is different from the rest of the data. An example of an outlier is given in the below image.

Given to us,

Data Set = {72, 82, 3, 55, 62, 73, 90, 80, 151, 59, 46, 31}

Number of data points = 12

After analyzing the data we see that there are only two outliners which are 3 and 151. As they are too far from the other data points. therefore,

Data Set = {72, 82, 55, 62, 73, 90, 80, 59, 46, 31},

Number of data points = 10,

Mean of the data set

[tex]\rm{Mean\ of\ the\ data\ set=\dfrac{Sum\ of\ data\ points}{Number\ of\ data\ points}[/tex]

[tex]\rm{Mean\ of\ the\ data\ set=\dfrac{(72+ 82+ 55+ 62+ 73+90+ 80+ 59+ 46+ 31)}{10}[/tex]

[tex]\rm{Mean\ of\ the\ data\ set=\dfrac{(650)}{10} = 65[/tex]

Hence, the Mean of the data set is 65.

Learn more about Outliers:

https://brainly.com/question/9933184

Ver imagen ap8997154

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