Questions: Question 2(Multiple Choice Worth 2 points) (Appropriate Measures MC) 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. 11,18,35,39,45,45,46,47,49,49,50,50,50,50,56,57,58,59 Which measure of center should the charity use to accurately represent the data? Explain your answer. The median of 452 is the most accurate to use to show that they need more money. The median of 49 is the most accurate to use, since the data is skewed. The mean of 49 is the most accurate to use to show that they have plenty of money. The mean of 45.2 is the most accurate to use, since the data is skewed.

Question 2(Multiple Choice Worth 2 points)
(Appropriate Measures MC)
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. 11,18,35,39,45,45,46,47,49,49,50,50,50,50,56,57,58,59

Which measure of center should the charity use to accurately represent the data? Explain your answer.
The median of 452 is the most accurate to use to show that they need more money.
The median of 49 is the most accurate to use, since the data is skewed.
The mean of 49 is the most accurate to use to show that they have plenty of money.
The mean of 45.2 is the most accurate to use, since the data is skewed.

Transcript text: Question 2(Multiple Choice Worth 2 points) (Appropriate Measures MC) 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. $11,18,35,39,45,45,46,47,49,49,50,50,50,50,56,57,58,59$ Which measure of center should the charity use to accurately represent the data? Explain your answer. The median of 452 is the most accurate to use to show that they need more money. The median of 49 is the most accurate to use, since the data is skewed. The mean of 49 is the most accurate to use to show that they have plenty of money. The mean of 45.2 is the most accurate to use, since the data is skewed.

Solution

Solution Steps

Step 1: Analyze the distribution

The histogram shows that the data is skewed right. This means that there are a few larger donations that are pulling the mean upwards.

Step 2: Determine the appropriate measure of center

When data is skewed, the median is a better measure of center than the mean because it is not affected by outliers.

Step 3: Calculate the median

The donations are $11, 18, 35, 39, 45, 45, 46, 47, 49, 49, 50, 50, 50, 50, 56, 57, 58, 59$. There are 18 values. The median is the average of the 9th and 10th values, which are both 49. So the median is 49.