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What is the best way to describe the center of the data represented in this line plot?

Select from the drop-down menus to correctly complete the statement.

The
median
mean
is
1 inch
1.5 inch
1.8 inch
2 inches

Line plot titled Daily Rainfall. The number line is labeled Number of inches. There are 3 dots above 0, 3 dots above 1, 1 dot above 2, 1 dot above 3, 1 dot above 4, and 1 dot above 6.
.

Respuesta :

Answer:

Mean = 1.8 in

Step-by-step explanation:

Median

The Median is the middle value when all data values are placed in order of size.

Ordered data values:  0, 0, 0, 1, 1, 1, 2, 3, 4, 6

As there is an even number of data values, the middle value is the mean of the middle two data values.  Therefore, the Median = 1 in

Mean

The Mean is the sum of all data values divided by the total number of data values.

[tex]\implies \textsf{Mean}=\dfrac{0+0+0+1+1+1+2+3+4+6}{10}=1.8[/tex]

Therefore, the Mean = 1.8 in

Conclusion

The Median is a better measure of central tendency when the data includes outliers (data values that are far away from the majority), as it is not affected by those outliers.  As there does not appear to be any outliers in this data set, the mean can be used to best describe the center of the data.

Therefore, the Mean = 1.8 in

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