The diagram below shows a normal curve with a mean of 65 and a standard deviation of 5.

  • Determine the number of standard deviations 73 is above the mean. (Hint: 70 is one standard deviation above the mean and 75 is two standard deviations above the mean.)
  • Determine the data value that is 2.4 standard deviations below the mean. (Hint: 50 is three standard deviations below the mean and 55 is two standard deviations below the mean.)
  • Describe a rule that uses μ and σ to convert between a data value and the number of standard deviations that value is from the mean.