Question 1.85

1.85 Find the error.

Each of the following statements contains an error. Describe the error and then correct the statement.

  1. A density curve is a mathematical model for the distribution of a categorical variable.
  2. The area under the curve for a density curve is always greater than the mean.
  3. If a variable can take only negative values, then the density curve for its distribution will lie entirely below the x axis.

1.85

(a) A density curve is a mathematical model for the distribution of a quantitative variable. (b) The area under the curve for a density curve is always equal to 1. (c) If a variable can take only negative values, then the density curve for its distribution will still lie entirely above the axis.