Class XII

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.
The following data set has a mean of 12 and no mode. All values are positive integers, and the data are listed in ascending order. What is the largest possible value for a? :- a b c 12 17 20
  1. 1
  2. 2
  3. 4
  4. 6
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.
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
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
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