Question

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 1.5. This means that the shoe sizes for 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 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 of each other.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct response is:

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, or Interquartile Range, is a measure of statistical dispersion, or how spread out the values in a dataset are. In this case, since the IQR is 3.5, it means that the shoe sizes for the middle 50% of the players (from the 25th to the 75th percentile) are within 3.5 shoe sizes of each other. This gives a sense of how much the values in the dataset vary around the median.

Answer 2

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 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 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.

Answer 3

[AI-generated answer — Bot GPT 3.5]

The correct response is:

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

MAD, or Mean Absolute Deviation, is a measure of the average difference between each data point and the mean of the dataset. In this case, since the MAD is 6, it means that, on average, the number of likes differs by 6 from the mean of 27.5 likes. This provides an indication of how spread out the values in the dataset are from the mean.