Knowee
Questions
Features
Study Tools

The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in either college or high school:High Low Q1 Q3 IQR Median Mean σCollege 20 6 8 18 10 14 13.3 5.2High School 20 3 5.5 16 10.5 11 11 5.4Which of the choices below best describes how to measure the spread of these data?(Hint: Use the minimum and maximum values to check for outliers.) (1 point)Both spreads are best described by the IQR.Both spreads are best described by the standard deviation.The college spread is best described by the IQR. The high school spread is best described by the standard deviation.The college spread is best described by the standard deviation. The high school spread is best described by the IQR.

Question

The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in either college or high school:High Low Q1 Q3 IQR Median Mean σCollege 20 6 8 18 10 14 13.3 5.2High School 20 3 5.5 16 10.5 11 11 5.4Which of the choices below best describes how to measure the spread of these data?(Hint: Use the minimum and maximum values to check for outliers.) (1 point)Both spreads are best described by the IQR.Both spreads are best described by the standard deviation.The college spread is best described by the IQR. The high school spread is best described by the standard deviation.The college spread is best described by the standard deviation. The high school spread is best described by the IQR.

...expand
🧐 Not the exact question you are looking for?Go ask a question

Solution

The spread of a data set can be measured using the Interquartile Range (IQR) or the standard deviation (σ). The IQR is the range within which the middle 50% of the values fall. The standard deviation measures the average distance between each data point and the mean.

To determine which measure is best to describe the spread of these data, we can look at the presence of outliers. Outliers can greatly affect the mean and standard deviation, but have less effect on the IQR.

For the college data, the minimum value is 6 and the maximum value is 20. The Q1 is 8 and the Q3 is 18. The IQR is 10 (Q3 - Q1). There are no values that fall below Q1 - 1.5IQR or above Q3 + 1.5IQR, so there are no outliers.

For the high school data, the minimum value is 3 and the maximum value is 20. The Q1 is 5.5 and the Q3 is 16. The IQR is 10.5 (Q3 - Q1). There are no values that fall below Q1 - 1.5IQR or above Q3 + 1.5IQR, so there are no outliers.

Since there are no outliers in either data set, both the IQR and the standard deviation would accurately describe the spread of the data. However, the standard deviation also takes into account how much each data point deviates from the mean, so it might provide a more detailed description of the spread.

Therefore, the answer is: "Both spreads are best described by the standard deviation."

This problem has been solved

Similar Questions

The box plots below show attendance at a local movie theater and high school basketball games:Which of the following best describes how to measure the spread of the data? (1 point)The IQR is a better measure of spread for movies than it is for basketball games.The standard deviation is a better measure of spread for movies than it is for basketball games.The IQR is the best measurement of spread for games and movies.The standard deviation is the best measurement of spread for games and movies.

What are the more appropriate measures of center and spread for this data set?Select two choices: one for the center and one for the spread.A.Better measure of spread: the standard deviationB.Better measure of center: the medianC.Better measure of center: the meanD.Better measure of spread: the interquartile range (IQR)SUBMITarrow_backPREVIOUS

Which of the following measures indicates the spread of the middle 50% of the data?a.Interquartile rangeb.Rangec.Standard deviationd.Variance

The data set shows the number of homework assignments required in math classes for a month:22 23 23 21 18 4 17 15 23 20 24 15 25 16Which of the following statements is true based on the data set? (1 point)There is one outlier that indicates an unusually large number of assignments required in that class.There is one outlier that indicates an unusually small number of assignments required in that class.There are two outliers that indicate an unusually large number of assignments required in those two classes.There are two outliers that indicate an unusually small number of assignments required in those two classes.

The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either from Rome, Italy, or New York, New York:High Low Q1 Q3 IQR Median Mean σRome 21 1 1.5 7.5 6 4.5 6.5 6.6New York 20 1 3.5 7.5 4 5 6.5 5.2Which of the choices below best describes how to measure the center of these data? (1 point)Both centers are best described by the mean.Both centers are best described by the median.The Rome data center is best described by the mean. The New York data center is best described by the median.The Rome data center is best described by the median. The New York data center is best described by the mean.

1/2

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.