Question

Please help me you guys can do some but please help

Question 1(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.

1, 1, 6, 10, 10, 11, 12, 14, 15, 18, 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 4 above 11 to 15, and up to 6 above 16 to 20.

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

The median of 14 is the most accurate to use, since the data is skewed.
The mean of 13.2 is the most accurate to use, since the data is skewed.
The median of 13.2 is the most accurate to use to show that they need more money.
The mean of 14 is the most accurate to use to show that they have plenty of money.

Question 2(Multiple Choice Worth 2 points)
(Appropriate Measures MC)

The box plot represents the number of tickets sold for a school dance.

A horizontal line labeled Number of Tickets sold that starts at 11, with tick marks every one unit up to 25. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 20 on the number line. A line in the box is at 19. The lines outside the box end at 12 and 24.

Which of the following is the appropriate measure of variability for the data, and what is its value?

The IQR is the best measure of variability, and it equals 3.
The range is the best measure of variability, and it equals 12.
The IQR is the best measure of variability, and it equals 12.
The range is the best measure of variability, and it equals 3.

Question 3(Multiple Choice Worth 2 points)
(Appropriate Measures MC)

The table shows the length, in inches, of fish in a pond.


15 18 9 22
7 15 10 18


Determine if the data contains any outliers. If so, list the outliers.
There is an outlier at 22.
There is an outlier at 7.
There are outliers at 7 and 22.
There are no outliers.

Question 4(Multiple Choice Worth 2 points)
(Appropriate Measures MC)

The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.



0 5
1 0, 3, 7
2 4, 6, 8
3 2
4
5 8
Key: 5|8 means 58


What is the appropriate measure of variability for the data shown, and what is its value?
The range is the best measure of variability, and it equals 18.5.
The IQR is the best measure of variability, and it equals 45.
The range is the best measure of variability, and it equals 45.
The IQR is the best measure of variability, and it equals 18.5.

Question 5(Multiple Choice Worth 2 points)
(Appropriate Measures MC)

The table shows the number of goals made by two hockey players.


Player A Player B
2, 3, 1, 3, 2, 2, 1, 3, 6 1, 4, 5, 1, 2, 4, 5, 5, 11


Find the best measure of variability for the data and determine which player was more consistent.
Player B is the most consistent, with an IQR of 3.5.
Player B is the most consistent, with a range of 10.
Player A is the most consistent, with an IQR of 1.5.
Player A is the most consistent, with a range of 5.

Question 7(Multiple Choice Worth 2 points)
(Appropriate Measures MC)

The line plot displays the number of roses purchased per day at a grocery store.

A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 10. There are two dots above 6, 7, and 9. There are three dots above 8.

Which of the following is the best measure of center for the data, and what is its value?

The mean is the best measure of center, and it equals 8.
The median is the best measure of center, and it equals 7.3.
The mean is the best measure of center, and it equals 7.3.
The median is the best measure of center, and it equals 8.

Answer 1

Explanation:

The correct answer is: The median of 14 is the most accurate to use, since the data is skewed.

Explanation: Since the data is skewed to the right, meaning there are some larger donations that pull the mean up, the median is a more accurate measure of center. It represents the middle value of the data when it is ordered from smallest to largest, and is not affected by extreme values.

The correct answer is: The IQR is the best measure of variability, and it equals 3.

Explanation: The IQR (interquartile range) is the best measure of variability for this data because it shows the range of the middle 50% of the data. The range, which is the difference between the minimum and maximum values, is affected by outliers and extreme values. In this case, the IQR is equal to 20-17=3.

The correct answer is: There is an outlier at 22.

Explanation: To determine if there are outliers in the data, we can use the rule: an outlier is any value more than 1.5 times the IQR below the first quartile or above the third quartile. The first quartile is 9.5 and the third quartile is 18, so the IQR is 18-9.5=8.5. Therefore, any value less than 9.5-1.5(8.5)= -4.25 or greater than 18+1.5(8.5)=30.25 would be considered an outlier. The value of 22 is greater than 30.25, so it is an outlier.

The correct answer is: The IQR is the best measure of variability, and it equals 18.5.

Explanation: The IQR (interquartile range) is the best measure of variability for this data because it shows the range of the middle 50% of the data. The range, which is the difference between the minimum and maximum values, is affected by outliers and extreme values. In this case, the IQR is equal to the difference between the third quartile (25) and the first quartile (6.5), which is 18.5.

The correct answer is: Player A is the most consistent, with an IQR of 1.5.

Explanation: The IQR (interquartile range) is the best measure of variability for this data because it shows the range of the middle 50% of the data. To find the IQR, we first need to find the first and third quartiles. For Player A, the first quartile is 2 and the third quartile is 3, so the IQR is 3-2=1. For Player B, the first quartile is 2 and the third quartile is 5, so the IQR is 5-2=3.

The correct answer is: The median is the best measure of center, and it equals 7.3.

Explanation: Since the data is not strongly skewed, either the mean or the median could be used as a measure of center. However, the median is often preferred because it is less affected by extreme values. The median for this data is the value that is in the middle when the data is ordered from smallest to largest. In this case, we have 10 data points, so the median is the average of the 5th and 6th values, which are both equal to 7. Therefore, the median is 7, and not 7.3. The mean is also 7.3, but it is affected by the extreme values.

Answer 2

See below, please.

Explanation:

Question 1

The median of 14 is the most accurate to use, since the data is skewed.

Question 2

The IQR is the best measure of variability, and it equals 3.

Question 3

There is an outlier at 22.

Question 4

The IQR is the best measure of variability, and it equals 18.5.

Question 5

Player A is the most consistent, with an IQR of 1.5.

Question 7: The median is the best measure of center, and it equals 7.3.