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## Statistics and probability

### Course: Statistics and probability>Unit 4

Lesson 1: Percentiles

# Cumulative relative frequency graph problem

AP.STATS:
UNC‑1 (EU)
,
UNC‑1.G (LO)
,
UNC‑1.G.4 (EK)
,
UNC‑1.I (LO)
,
UNC‑1.I.5 (EK)
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.
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
grams

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

## Want to join the conversation?

• Why does it have the same questions as the video?
• probably so we can work along with the video, or maybe so we can go back to the video if we have a question on how to solve the problem.
• definition of relative frequency
• relative frequency as this :
we have 10 glass of drinks , half of them has sugar and the other half doesnt have sugar. Now "what is the percentage of the drinks that don't have sugar? (5 drinks don't have sugar)/ (10 total of drinks) = .5
.5 is the relative frequency :)
relative means (relative to all drinks) frequency means (how many drinks have or havn't sugar)
in other words "relative to all drinks we have , what is the frequency (number of drinks) of sugar free drinks"
• where has cumulative frequency been discussed?
• there are dedicated sections in KA for this topic
• Is This the same thing is Cumulative Frequency Curve?
• why is the government taking my money?
• How can i know calculate a percentile in a histogram easily,like how to know the interval in question