Use the image to answer the question.
A pie chart divided into 6 inequal sections is titled Activity Hours per Week. The sections are labeled school, 40, 24 percent; eat, 21, 13 percent; sports or play, 15, 9 percent; social media or TV, 24, 14 percent; sleep, 56; and other 12, 7 percent.
The activity for one week of 168 people was tracked and displayed in a circle graph. What was the percentage of time spent on sleep? Round the percentage to the nearest whole number.
33%
A local library manager randomly surveys 80 patrons about the type of book they borrow when they visit the library. The manager finds that 3 patrons borrow novels. If the local library has 345 patrons, approximately how many of them borrow novels when they visit the library? Round your answer to the nearest whole number. (1 point)
To find out approximately how many of the 345 total patrons borrow novels when they visit the library, we can set up a proportion using the information provided in the survey:
3 patrons out of 80 surveyed borrow novels
x patrons out of 345 total patrons borrow novels
Cross multiply to get:
3 * 345 = 80 * x
1035 = 80x
Divide by 80 to solve for x:
x = 1035 / 80
x ≈ 13
Approximately 13 of the 345 total patrons likely borrow novels whenever they visit the library.
Maritza plays in a softball league. She wants to know about how many players in the league also play basketball. Because there are 225 players in the league, she chooses the names of 45 of the players and asks them whether they also play basketball. Describe the population and the sample. What is the size of the population, and what is the size of the sample? Show your work.
(2 points)
In this scenario, Maritza is trying to estimate the proportion of players in the softball league who also play basketball by surveying a sample of players.
Population:
The population in this scenario is all 225 players in the softball league. This is the group from which Maritza is interested in drawing conclusions.
Size of the Population:
The size of the population is 225 players.
Sample:
The sample in this scenario is the 45 players that Maritza chooses to survey about also playing basketball. The sample is a subset of the population.
Size of the Sample:
The size of the sample is 45 players chosen by Maritza.
Therefore, in this scenario:
- Population size: 225 players
- Sample size: 45 players.