Class XII

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
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
The distribution is symmetric.
  1. Interquartile range
  2. Variance
  3. Standard deviation
  4. Skewness
If the median and mean of a set of data are equal, what can be said about the shape of the distribution?
  1. The data are approximately normally distributed.
  2. The data are from a uniform distribution.
  3. The distribution is skewed.
  4. The distribution is symmetric.
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