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.
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
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
A high school receives the final scores of all students at the school who took the AP History exam last month. The assistant principal computes the mean and the standard deviation of the scores and presents her final data report to the principal. Wh
  1. Parameters x̅ and S because the scores come from a sample
  2. Statistics x̅ and S because the scores come from a sample
  3. Parameters μ and σ , because the scores come from a population
  4. Statistics μ and σ , because the scores come from a population
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