### Class XII

A set of data is approximately normally distributed. In order from highest to lowest, list the range, the Interquartile Range (IQR), and the standard deviation.
1. Range, IQR, Standard Deviation
2. IQR, Range, Standard Deviation
3. Range, Standard Deviation, IQR
4. Standard Deviation, Range, IQR
Anthony has caught 3 fish in a fishing tournament with lengths of 13", 15", and 17". Near the end of the tournament he catches a fourth fish, measuring 15". What effect does this fourth fish have on the mean and standard deviation of his original 3 f
1. The mean length will stay the same but the standard deviation will increase.
2. The mean length will stay the same but the standard deviation will decrease.
3. The mean length and the standard deviation will be unchanged.
4. Both the mean length and the standard deviation will increase.
A certain tree farm grew 4-, 5- and 6-foot trees. It grew 150 4-foot trees, 450 5-foot trees, and 400 6-foot trees. What was the average height of a tree that the farm grew? (Note: 1 foot = 12 inches.)
1. 5 feet, 1 inch
2. 5 feet, 3 inches
3. 5 feet, 4 inches
4. 5 feet, 6 inches
Given a density function, what effect will there be if the frequencies in both of the tails of the distribution are identically increased?
1. The standard deviation will not be affected because it is a constant for any density function.
2. The standard deviation will decrease.
3. The standard deviation will increase.
4. The standard deviation will not be affected because both tails experience the same amount of increase.
Which of the following is likely to have a mean that is smaller than the median?
1. The salaries of professional football players
2. The prices of homes in a large city
3. The scores of students on a 100-point exam on which most students get a very high score and a few do very poorly
4. The scores of students on a 100-point exam on which most students score very low and a few get perfect scores
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