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Answer:
If Kristen were to make 4 batches, and each batch requires 2 cups of flour, how many cups of flour would she need? To solve this question, we would just multiply 4 by 2, which gives us a final product of 8.
Similarly, in this question, if one batch requires 1 3/4 cups of flour and Kristen wants to bake 3 1/2 batches, she would need 1 3/4 x 3 1/2 cups of flour.
1 3/4 can be rewritten as an improper fraction- 7/4.
3 1/2 can also be rewritten as an improper fraction- 7/2.
Multiplying 7/4 and 7/2, we obtain a final product of 49/8, or 6 1/8.
This means, Kristen will need 6 1/8 cups of flour to make 3 1/2 batches, and her belief that she needs 3 3/8 cups of flour is wrong, as she needs a lot more than that.
Hope this helps!
Answer: The median, because the data distribution is skewed to the left
EXPLANATION
Given the box plot with the following parameters:
Minimum value at 11
First Quartile, Q1 at 22.5
Median at 34.5
Third Quartile, Q3 at 36
Maximum value at 37.5
First, we notice that the data distribution is skewed to the left because the median (34.5) is closer to the third quartile (36) than to the first quartile
(22.5).
Furthermore, we know that the mean provides a better description of the center when the data distribution is symmetrical while the median provides a better description of the center when the data distribution is skewed.
Therefore, we conclude that for the given box plot, the median will provide a better description of the center because the data distribution is skewed to the left.
