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

Question

3 years ago

6

mean remains the same. The mean decreases by 2. The mean increases by 2. There are no outliers.

1 answer:

s2008m [1.1K] · Answer 1 · 2022-08-17T19:16:12+03:00

The mean will remain the same.

<h2>Outlier </h2>

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

<h2>Given to us</h2>

dot plots

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

<h3>Mean with all the datapoints</h3>

$\rm{ Mean\ with\ all\ the\ datapoints=\dfrac{Sum\ of\ all\ datapoints }{Number\ of\ Observations}$

$=\dfrac{15+23+24+26+27+35}{6}\\\\=\dfrac{150}{6}\\\\=25$

<h3>Mean without outliers</h3>

$\rm{ Mean\ without\ Outliers=\dfrac{Sum\ of\ all\ datapoints\ without\ Outliers }{Number\ of\ Observations\ without\ Outliers}$

$=\dfrac{23+24+26+27}{4}\\\\=\dfrac{100}{4}\\\\=25$

Hence, the mean will remain the same.

Learn more about Outliers: