When the outliers are removed, how does the mean change? dot plot with 1 on 15, 1 on 23, 1 on 24, 1 on 26, 1 on 27, 1 on 35 The mean remains the same. The mean decreases by 2. The mean increases by 2. There are no outliers.

Respuesta :

The mean will remain the same.

Outlier

An outlier is a data point on a dot plot that is very different from the other given data points.

Given to us

dot plots

  • 1 on 15,
  • 1 on 23,
  • 1 on 24,
  • 1 on 26,
  • 1 on 27,
  • 1 on 35

Mean of a dot plot

For a dot plot, the mean is taken out by dividing the sum of all the points by the number of observations.

Mean with all the datapoints

[tex]\rm{ Mean\ with\ all\ the\ datapoints=\dfrac{Sum\ of\ all\ datapoints }{Number\ of\ Observations}[/tex]

                                                  [tex]=\dfrac{15+23+24+26+27+35}{6}\\\\=\dfrac{150}{6}\\\\=25[/tex]

Mean without outliers

[tex]\rm{ Mean\ without\ Outliers=\dfrac{Sum\ of\ all\ datapoints\ without\ Outliers }{Number\ of\ Observations\ without\ Outliers}[/tex]

                                    [tex]=\dfrac{23+24+26+27}{4}\\\\=\dfrac{100}{4}\\\\=25[/tex]

Hence, the mean will remain the same.

Learn more about Outliers:

https://brainly.com/question/9933184

Answer:

The mean remains the same