Problem
Caffeine: Following are the number of grams of carbohydrates in 12-ounce espresso beverages offered at a coffee shop. \[ \begin{array}{lllllllllllll} \hline 23 & 19 & 26 & 17 & 16 & 9 & 13 & 13 & 13 & 21 & 36 & 29 & 31 \\ 33 & 28 & 37 & 37 & 49 & 42 & 40 & 39 & 38 & 46 & 44 & 36 \\ \hline \end{array} \] Send data to Excel Part 1 of 3 (a) What is the $39^{\text {th }}$ percentile? The $39^{\text {th }}$ percentile is the data value 2628 . Part 2 of 3 (b) What is the $61^{\text {st }}$ percentile? The $61^{\text {st }}$ percentile is the data value 36 . Part: 2 / 3 Part 3 of 3 (c) There are 48 grams of carbohydrates in an Iced Dark Cherry Mocha. What percentile is this? The percentile for 48 grams of carbohydrates in an Iced Dark Cherry Mocha is
Solution
Step 1 ：Sort the data in ascending order.
Step 2 ：Count the number of values that are less than or equal to 48.
Step 3 ：Calculate the percentile as the number of values less than or equal to 48 divided by the total number of values, multiplied by 100.
Step 4 ：The percentile for 48 grams of carbohydrates in an Iced Dark Cherry Mocha is approximately \(30.04\). This means that about \(30.04\%\) of the espresso beverages have less than or equal to 48 grams of carbohydrates.
Step 5 ：Final Answer: The percentile for 48 grams of carbohydrates in an Iced Dark Cherry Mocha is approximately \(\boxed{30.04}\).
