The shoe sizes for a varsity field hockey team are:

5.5, 5.5, 6.0, 6.5, 6.5, 7.0, 7.0, 7.5, 7.5, 7.5, 8.0, 8.0, 8.0, 8.5, 8.5, 9.0

Which of the following is the IQR and explains how this measure of variability describes how the values of a dataset vary with a single number?

(1 point)
Responses

The IQR is 1.5. This means that the shoe sizes for the middle half of the players are within 1.5 shoe sizes of each other.
The IQR is 1.5. This means that the shoe sizes for the middle half of the players are within 1.5 shoe sizes of each other.

The IQR is 3.5.This means that the shoe sizes for half of the players are within 3.5 shoe sizes of each other.
The IQR is 3.5.This means that the shoe sizes for half of the players are within 3.5 shoe sizes of each other.

The IQR is 3.5. This means that the shoe sizes for the middle half of the players are within 3.5 shoe sizes of each other.
The IQR is 3.5. This means that the shoe sizes for the middle half of the players are within 3.5 shoe sizes …

Help plzzzz

11 answers

The correct answer is:

The IQR is 1.5. This means that the shoe sizes for the middle half of the players are within 1.5 shoe sizes of each other.

The interquartile range (IQR) measures the spread of the middle 50% of the data. In this case, since the IQR is 1.5, it indicates that the shoe sizes for the middle half of the players vary by only 1.5 shoe sizes. This means that the shoe sizes for the majority of the players are relatively close to each other, with only a small amount of variability within that range.
Are u sure
Yes, I'm sure. The IQR is a measure of variability of the middle 50% of the dataset. In this case, the IQR is 1.5, which means that the shoe sizes for the middle half of the players vary by only 1.5 shoe sizes. This measure of variability provides a good indication of how spread out or clustered the values are within that middle range.
Will I get the question right
Yes, if you select the option:

The IQR is 1.5. This means that the shoe sizes for the middle half of the players are within 1.5 shoe sizes of each other.

You will get the question right. This explanation accurately describes how the IQR reflects the variability of the shoe sizes for the middle half of the players.
This dataset represents the number of likes Julia had on her last 10 Instagram posts:

17, 19, 21, 23, 28, 31, 31, 34, 35, 36

Which of the following is the MAD of the dataset and explains what the value means for this dataset?

(1 point)
Responses

The MAD is 6. This means the number of likes differ by 6 from the mean of 27.5 likes. 
The MAD is 6. This means the number of likes differ by 6 from the mean of 27.5 likes. 

The MAD is 13. This means the number of likes differ by 13 from the mean of 27.5 likes.
The MAD is 13. This means the number of likes differ by 13 from the mean of 27.5 likes.

The MAD is 13. This means the number of likes differ, on average, by 13 from the mean of 27.5 likes.
The MAD is 13. This means the number of likes differ, on average, by 13 from the mean of 27.5 likes.

The MAD is 6. This means the number of likes differ, on average, by 6 from the mean of 27.5 likes.
The MAD is 6. This means the number of likes differ, on average, by 6 from the mean of 27.5 like…
The correct answer is:

The MAD is 6. This means the number of likes differ, on average, by 6 from the mean of 27.5 likes.

The MAD (Mean Absolute Deviation) is a measure of the average distance between each data point and the mean of the dataset. In this case, the MAD is calculated to be 6, which means that, on average, the number of likes on Julia's Instagram posts differ by 6 likes from the mean of 27.5 likes. This value represents how spread out the data points are from the mean and provides a good measure of variability in the dataset.
Are completely right
Thank you! I'm glad I could help. If you have any more questions or need further clarification, feel free to ask.
Is it right
Yes, the answer "The MAD is 6. This means the number of likes differ, on average, by 6 from the mean of 27.5 likes" is correct. This explanation accurately describes what the Mean Absolute Deviation (MAD) value of 6 means for the dataset provided.