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?\nremoving the outlier will not change the spread of the graph of the data set.\nremoving the outlier will not change the variance of the data set.\nremoving the outlier will increase the variance of the data set.\nremoving 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?\nremoving the outlier will not change the spread of the graph of the data set.\nremoving the outlier will not change the variance of the data set.\nremoving the outlier will increase the variance of the data set.\nremoving the outlier will decrease the spread of the graph of the data set.

Answer

Explanation:

Step1: Understand the concept of outlier and spread

An outlier is a data - point that is far from other data - points. Spread measures how far the data values are from each other. Variance is a measure of spread.

Step2: Analyze the effect of removing an outlier

A low - value outlier is a value that is much smaller than the other data values. Removing it will make the data values more clustered together.

Step3: Determine the impact on spread

Since the data values become more clustered together, the spread of the data set (such as range, inter - quartile range, or variance) will decrease.

Answer:

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