Question

1. lupe is making cupcakes to raise money for a project at the community center. when lupe is finished, 75% of the cupcakes are chocolate, and 25% are vanilla. if there are 80 cupcakes in all, how many chocolate ones are there?

1. when the babysitter was distracted by the tv, sabrina decided to investigate how many chocolate chips were in each cookie in a new package. these cookies advertise that they have the most chocolate chips of any cookie sold in stores.

the following is the number of chocolate chips she found in each of the 12 cookies.
7, 8, 8, 8, 8, 8, 10, 12, 12, 13, 13, 13

a. determine the mean number of chocolate chips in a cookie from the new package.

b. what does the mean tell us about the cookies? (do not describe how you determined the mean, but focus on what it tells us.)

c. determine the median number of chocolate chips in a cookie.

d. what does the median tell us about the cookies? (do not describe how you determined the median, but focus on what it tells us.)

cuny start quantitative reasoning, class 20, version 2a

Explanation:

Problem 7

Step1: Identify total and percentage

Total cupcakes = 80, Percentage of chocolate = 75% = 0.75.

Step2: Calculate chocolate cupcakes

Number of chocolate cupcakes = \( 80 \times 0.75 \) = 60.

Step1: Sum the data

Sum = \( 7 + 8 + 8 + 8 + 8 + 8 + 10 + 12 + 12 + 13 + 13 + 13 \)
= \( 7 + (8\times5) + 10 + (12\times2) + (13\times3) \)
= \( 7 + 40 + 10 + 24 + 39 \) = 120.

Step2: Calculate mean

Mean = \( \frac{\text{Sum}}{\text{Number of data points}} = \frac{120}{12} \) = 10.

The mean (10) represents the average number of chocolate chips per cookie. It gives a central tendency measure, showing the typical number of chocolate chips when considering all cookies, accounting for each chip count’s contribution.

Answer:

60

Problem 8a