23. Can a sample have: a. a variance of zero? b. no variance? c. no mean? d. the

ID: 3245411 • Letter: 2

Question

23. Can a sample have:

a. a variance of zero?

b. no variance?

c. no mean?

d. the mean equal to the median?

e. the mean, median and mode all equal each other?

f. the mean equal to the standard deviation?

24. a. If a constant amount is added to all elements in a data set, does the mean change?

b. the median?

a. the standard deviation?

25. a. Can the mean of a set of data be negative?

b. the median?

c. the standard deviation?

26. Consider the following data: 100, 129, 134, 166, 188, 250. Suppose we discovered that the highest entry should have been 200.

a. Will the new mean be lower, the same, or higher?

b. Will the new median be lower, the same, or higher?

c. Will the new standard deviation of the new sample be lower, the same, or higher?

23)

a. a variance of zero? --- Yes (when all values of sample are equal)

b. no variance? --No

c. no mean? --- No

d. the mean equal to the median? ---Yes

e. the mean, median and mode all equal each other? ---Yes ((when all values of sample are equal)

f. the mean equal to the standard deviation? ---Yes

24. a. If a constant amount is added to all elements in a data set, does the mean change? --Yes

b. the median? ---YEs

a. the standard deviation? --No

25. a. Can the mean of a set of data be negative? ---Yes

b. the median? ---Yes

c. the standard deviation? ----No

26. Consider the following data: 100, 129, 134, 166, 188, 250. Suppose we discovered that the highest entry should have been 200.

a. Will the new mean be lower, the same, or higher?----Lower

b. Will the new median be lower, the same, or higher?---Same

c. Will the new standard deviation of the new sample be lower, the same, or higher? ----Lower

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