1- Consider the given data set.

n = 15

measurements: 8, 15, 11, 9, 10, 14, 16, 5, 18, 18, 13, 10, 9, 14, 28

Find the mean.

Find the standard deviation. (Round your answer to four decimal places.)

Find the five-number summary.

Min

Q₁

Median

Q₃

Max

Find the z-scores corresponding to the minimum in the data set. (Round your answers to two decimal places.)

z =

Find the z-scores corresponding to the maximum in the data set. (Round your answers to two decimal places.)

z =

Identify any outliers. (Enter your answers as a comma-separated list. If there are no outliers, enter NONE.)

Are the results using z-scores the same as those based on the box plots?

Yes, results of the two different methods for identifying outliers are similar.

No, using the z-scores identified a outlier while using the box plot did not.

No, using the box plot identified a outlier while using the z-scores did not.

2- Consider the given data set.

n = 15

measurements: 20, 13, 17, 1, 15, 11, 7, 3, 13, 14, 12, 20, 8, 6, 9

Calculate the five-number summary and the interquartile range.

Min

Q₁

Median

Q₃

Max

IQR

3- Consider the given data set.

n = 11

measurements: 24, 21, 25, 24, 26, 27, 29, 19, 24, 25, 13

Calculate the five-number summary and the interquartile range.

Min

Q₁

Median

Q₃

Max

IQR

4- Consider the given data set.

n = 11 measurements: 2.4, 0.9, 2.2, 6.6, 2.9, 7.7, 1.8, 2.8, 4.5, 5.2, 2.1

Find the mean. (Round your answer to four decimal places.)

Find the standard deviation. (Round your answer to four decimal places.)

Find the z-score corresponding to the minimum in the data set. (Round your answers to two decimal places.)

z =

Find the z-score corresponding to the maximum in the data set. (Round your answers to two decimal places.)

z =

Do the z-scores indicate that there are possible outliers in this data set?

Since the z-score for the larger observation is larger than 2 in absolute value, the larger value is unusually large.

Since the z-score for the smaller observation is larger than 2 in absolute value, the smaller value is unusually small. Since both z-scores exceed 2 in absolute value, both of the observations are unusual.

Since neither z-score exceeds 2 in absolute value, none of the observations are unusually small or large.

5- Consider the given data set.

n = 12

measurements: 9, 6, 1, 3, 5, 7, 3, 6, 6, 7, 4, 0

Find the mean.

Find the standard deviation. (Round your answer to four decimal places.)

Find the z-score corresponding to the minimum in the data set. (Round your answer to two decimal places.)

z =

Find the z-score corresponding to the maximum in the data set. (Round your answer to two decimal places.)

z =

Do the z-scores indicate that there are possible outliers in the data set?

Since both z-scores exceed 2 in absolute value, both of the observations are unusual.

Since neither z-score exceeds 2 in absolute value, none of the observations are unusually small or large.

Since the z-score for the smaller observation is larger than 2 in absolute value, the smaller value is unusually small.

Since the z-score for the larger observation is larger than 2 in absolute value, the larger value is unusually large.

6- Consider the given data set.

n = 8

measurements: 0.24, 0.31, 0.34, 0.42, 0.55, 0.59, 0.77, 0.79

Calculate the five-number summary and the interquartile range.

Min

Q₁

Median

Q₃

Max

IQR

7- Consider the given data set.

n = 9

measurements: 7, 8, 2, 4, 7, 3, 9, 8, 5

Calculate the median.

Calculate the upper quartile.

Calculate the lower quartile.

8- Consider the given data set.

n = 7

measurements: 5, 8, 4, 3, 9, 11, 3

Calculate the median.

Calculate the upper quartile.

Calculate the lower quartile.