Question

the table shows the grams of sugar in a 12 - ounce serving of different drinks. grams of sugar 37, 46, 43, 30, 4, 23, 44, 46, 19, 41, 2 find the value that represents the 75th percentile, then determine how many drinks have a sugar content greater than the 75th percentile. the 75th percentile is. drinks have a sugar content greater than the 75th percentile.

Explanation:

Step1: Arrange data in ascending order

$4, 19, 23, 30, 37, 41, 43, 44, 46, 46$

Step2: Calculate index

The formula for the index $i$ of the $p$ -th percentile is $i=\frac{p}{100}\times n$, where $p = 75$ and $n = 10$. So $i=\frac{75}{100}\times10=7.5$.

Step3: Find the 75th - percentile

Since the index is not an integer, we round up to the next whole number. The 8th - ordered value in the sorted data set is 44. So the 75th percentile is 44.

Step4: Count drinks with sugar content greater than 75th percentile

In the data set, the values greater than 44 are 46, 46. So there are 2 drinks with a sugar content greater than the 75th percentile.

Answer:

The 75th percentile is 44.
2 drinks have a sugar content greater than the 75th percentile.