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AP®︎/College Statistics

Course: AP®︎/College Statistics > Unit 4

Lesson 1: Percentiles
Math
AP®︎/College Statistics
Exploring one-variable quantitative data: Percentiles, z-scores, and the normal distribution
Percentiles
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Cumulative relative frequency graph problem

Google Classroom
Nutritionists measured the sugar content (in grams) for 32 drinks at a popular coffee shop. A cumulative relative frequency graph for these data is shown below.
problem 1
An iced coffee has 15 grams of sugar.
Estimate the percentile of this drink to nearest whole percent.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
start superscript, start text, t, h, end text, end superscript percentile

problem 2
Estimate the median of the distribution of drinks.
Hint: Think about the 50, start superscript, start text, t, h, end text, end superscript percentile.
median approximately equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
grams

problem 3
What is the best estimate for the interquartile range (IQR) of the distribution of drinks?
Choose 1 answer:

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