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(D) The median is 1.
3. The box plot shows the protein, in grams, in each serving of 7 different brands of nutritional shakes.
In
75% of the shakes, Paula found at least how many grams of protein?
(A) 15
(C) 25
(B) 16.5
(D) 27
Assessment, Form B

(D) The median is $1$ . $\newline$ $3$ . The box plot shows the protein, in grams, in each serving of $7$ different brands of nutritional shakes. $\newline$ In $75 \%$ of the shakes, Paula found at least how many grams of protein? $\newline$ (A) $15$ $\newline$ (C) $25$ $\newline$ (B) $16$ . $5$ $\newline$ (D) $27$ $\newline$ Assessment, Form B

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Experimental probability

Full solution

Q. (D) The median is

1

.

\newline

3

. The box plot shows the protein, in grams, in each serving of

7

different brands of nutritional shakes.

\newline

In

75 \%

of the shakes, Paula found at least how many grams of protein?

\newline

(A)

15

\newline

(C)

25

\newline

(B)

16

.

5

\newline

(D)

27

\newline

Assessment, Form B

Understand Median Concept: We know that the median is the middle value, so $50\%$ of the data is above and $50\%$ is below the median. Since the median is $1$ , we need to find the value at the $75$ th percentile, which is the third quartile in a box plot.
Find Third Quartile: To find the third quartile, we look at the options given. Since $75\%$ of the shakes have at least this amount of protein, the third quartile will be the smallest number that is greater than or equal to the values of $75\%$ of the shakes.
Eliminate Lower Options: Looking at the options, we can eliminate $(A) 15$ and $(B) 16.5$ because they are lower than $(C) 25$ and $(D) 27$ . Since we are looking for the smallest number that is greater than or equal to the values of $75\%$ of the shakes, we can't have a number that is lower than another option.
Choose Smallest Value: Now we have to choose between (C) $25$ and (D) $27$ . Since we want the value that $75\%$ of the shakes have at least, we choose the lower of the two numbers, which is (C) $25$ .
Consider Mistake Made: However, we made a mistake. We assumed that the median being $1$ is relevant to finding the $75$ th percentile, but it's not directly related. We need the actual data or the box plot to determine the $75$ th percentile. Without the box plot or data, we cannot determine the correct answer.

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