opal is collecting data on water levels in different parts of town. she notices that her sample data has a…

opal is collecting data on water levels in different parts of town. she notices that her sample data has a low - value outlier. which statement must be true? removing the outlier will not change the spread of the graph of the data set. removing the outlier will not change the variance of the data set. removing the outlier will increase the variance of the data set. removing the outlier will decrease the spread of the graph of the data set.

opal is collecting data on water levels in different parts of town. she notices that her sample data has a low - value outlier. which statement must be true? removing the outlier will not change the spread of the graph of the data set. removing the outlier will not change the variance of the data set. removing the outlier will increase the variance of the data set. removing the outlier will decrease the spread of the graph of the data set.

Answer

Explanation:

Step1: Understand the concept of outlier

An outlier is a data - point that is far from other data points. It affects measures of spread like variance and range.

Step2: Analyze the effect on spread

The spread of a data - set is related to how far the data points are from each other. An outlier increases the spread. Removing it will reduce the spread.

Step3: Analyze the effect on variance

Variance measures the average of the squared differences from the mean. An outlier increases variance. Removing it will decrease variance.

Answer:

Removing the outlier will decrease the spread of the graph of the data set.