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Home > INT3 > Chapter 4 > Lesson 4.4.3 > Problem 4-126


Mrs. Bell measures the heights of the singers in the girls’ chorus so she can place them on the risers with shorter girls in front and taller girls in back. A calculator screen shot of the distribution of the heights is shown at right.

  1. In approximately what percentile is a singer who is tall?

    Each bar of the graph represents an amount of singers. Add up the heights of the bars on the graph for singers under tall and divide by .

  2. Mrs. Bell models the heights of her singers using a normal distribution with a mean of inches and a standard deviation of . She assumes her model applies to all girls at the state competition. How many singers at the competition can Mrs. Bell expect to be taller than ?

    Use your calculator. What are the lower and upper bounds of the heights you are interested in?

    normalcdf(, ^, , )

A combined histogram, and box plot, x axis labeled, Height of singers (inches), scaled in equal segments by 2, from 46 to 74. Histogram, starting at the left, each segment has the following bar heights: 3, 2, 5, 16, 25, 24, 30, 33, 35, 17, 15, 5, 4, 3. Box plot: Left whisker: 46.5 to 56.5, Box: 56.5 to 63.5, with vertical line at 69, Right whisker: 63.5 to 73.5.