Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Last week's and this week's low temperatures are shown in the table below.

\begin{tabular}{|c|c|c|c|c|c|}
\hline \multicolumn{6}{|c|}{Low Temperatures for 5 Days This Week and Last Week} \\
\hline \begin{tabular}{l}
Low Temperatures \\
This Week ([tex]$^{\circ}F$[/tex])
\end{tabular} & 4 & 10 & 6 & 9 & 6 \\
\hline \begin{tabular}{l}
Low Temperatures \\
Last Week ([tex]$^{\circ}F$[/tex])
\end{tabular} & 13 & 9 & 5 & 8 & 5 \\
\hline
\end{tabular}

Which measures of center or variability are greater than 5 degrees? Select three choices:

A. The mean of this week's temperatures
B. The mean of last week's temperatures
C. The range of this week's temperatures
D. The mean absolute deviation of this week's temperatures
E. The mean absolute deviation of last week's temperatures

Sagot :

GinnyAnswer
To determine which measures of center or variability are greater than 5 degrees, we'll need to evaluate the following statistics for both this week and last week:

1. Mean of this week's temperatures
2. Mean of last week's temperatures
3. Range of this week's temperatures
4. Mean absolute deviation (MAD) of this week's temperatures
5. Mean absolute deviation (MAD) of last week's temperatures

### Mean of this week's temperatures

This week's temperatures: \(4, 10, 6, 9, 6\)
 Mean: \(\frac{4 + 10 + 6 + 9 + 6}{5} = \frac{35}{5} = 7.0\)

### Mean of last week's temperatures

Last week's temperatures: \(13, 9, 5, 8, 5\)
 Mean: \(\frac{13 + 9 + 5 + 8 + 5}{5} = \frac{40}{5} = 8.0\)

### Range of this week's temperatures

This week's temperatures: \(4, 10, 6, 9, 6\)
 Range: \(10 - 4 = 6\)

### Mean absolute deviation of this week's temperatures (MAD)

This week's temperatures: \(4, 10, 6, 9, 6\)
 Mean: \(7.0\)
Deviations from the mean: \(|4 - 7|, |10 - 7|, |6 - 7|, |9 - 7|, |6 - 7| = 3, 3, 1, 2, 1\)
 MAD: \(\frac{3 + 3 + 1 + 2 + 1}{5} = \frac{10}{5} = 2.0\)

### Mean absolute deviation of last week's temperatures (MAD)

Last week's temperatures: \(13, 9, 5, 8, 5\)
 Mean: \(8.0\)
Deviations from the mean: \(|13 - 8|, |9 - 8|, |5 - 8|, |8 - 8|, |5 - 8| = 5, 1, 3, 0, 3\)
 MAD: \(\frac{5 + 1 + 3 + 0 + 3}{5} = \frac{12}{5} = 2.4\)

### Summary of Measures Greater Than 5 Degrees

- Mean of this week's temperatures: \(7.0\) (greater than \(5\))
- Mean of last week's temperatures: \(8.0\) (greater than \(5\))
- Range of this week's temperatures: \(6\) (greater than \(5\))
- MAD of this week's temperatures: \(2.0\) (not greater than \(5\))
- MAD of last week's temperatures: \(2.4\) (not greater than \(5\))

Therefore, the measures that are greater than 5 degrees are:

1. The mean of this week's temperatures
2. The mean of last week's temperatures
3. The range of this week's temperatures
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.