Question

HELP PLEASE

A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.


5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20


A graph titled Donations to Charity in Dollars. The x-axis is labeled 1 to 5, 6 to 10, 11 to 15, and 16 to 20. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 1 to 5, up to 3 above 6 to 10, up to 1 above 11 to 15, and up to 7 above 16 to 20.


Which measure of variability should the charity use to accurately represent the data? Explain your answer.


The range of 13 is the most accurate to use, since the data is skewed.

The IQR of 13 is the most accurate to use, since the data is skewed.

The range of 20 is the most accurate to use to show that they have plenty of money.

The IQR of 20 is the most accurate to use to show that they need more money.

Answer 1

Answer: The range of 13 is the most accurate to use, since the data is skewed. It is also because these numbers are from a measure of 13 days, which in turn would show the most varaibility given that one day they receive significantly less donations. This could be used to rally more support on certain days to achieve lower varaibility. As of now, they data is very skewed.

Step-by-step explanation: Remember that IQR stands for Inter Quartile Range which can be found on the calculator and is a measure of Q2-Q1.