Statistics Unit Test
12 of 1512 of 15 Items
Question
Use the image to answer the question.
An illustration shows two sets of dot plots. One is titled Gas Mileage in miles per gallon, Cars and the other is Gas Mileage in miles per gallon, S U Vs. The plots are shown as dots in a vertical row over each number on a number line. For Cars, a number line with arrows on both ends ranges from 18 to 22 in increments of 1. There is 1 dot above 18, 2 dots above 19, 3 dots above 20, 2 dots above 21, and 1 dot above 22. For S U Vs, a number line with arrows on both ends ranges from 21 to 25 in increments of 1. There is 1 dot above 21, 1 dot above 22, 2 dots above 23, 2 dots above 24, and 3 dots above 25.
The dot plots show the gas mileage for randomly selected cars and SUVs. Which data values do both distributions have in common?
(1 point)
The data value in common for both distributions with the lowest number is
.
The data value in common for both distributions for the highest number is
.
The data value in common for both distributions with the lowest number is 21.
The data value in common for both distributions for the highest number is 22.
Find the MAD of 15, 16, 14, 15, 19, and 23. Round your answer to two decimal places.(1 point)
The MAD is
.
To find the Mean Absolute Deviation (MAD), we first need to find the mean of the data set.
Mean = (15 + 16 + 14 + 15 + 19 + 23) / 6
Mean = 102 / 6
Mean = 17
Next, we find the absolute deviations from the mean for each data point:
|15 - 17| = 2
|16 - 17| = 1
|14 - 17| = 3
|15 - 17| = 2
|19 - 17| = 2
|23 - 17| = 6
Now, we find the average of these absolute deviations:
(2 + 1 + 3 + 2 + 2 + 6) / 6
= 16 / 6
≈ 2.67
Therefore, the MAD is approximately 2.67.
Fifteen students are randomly selected from two different classes. They were asked how many books they read during the summer. Their responses are as follows. Find the median number of books read by each class. Which class has a higher median number of books read?
Class 1: 0, 5, 3, 6, 7, 8, 10, 1, 1, 4, 5, 6, 4, 5, 6
Class 2: 2, 2, 4, 3, 0, 0, 6, 7, 10, 9, 6, 5, 3, 1, 2
(2 points)
The median number of books read during the summer by Class 1 is
.
The median number of books read during the summer by Class 2 is
.
Class
has a higher median number of books read during the summer.
To find the median, we first need to arrange the data in each class in ascending order:
Class 1: 0, 1, 1, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8, 10
Class 2: 0, 0, 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7, 9, 10
Since both classes have an odd number of values, the median is the middle value in the ordered list.
For Class 1, the median is the middle value, which is the 8th value in the list (since there are 15 values): 5
For Class 2, the median is the middle value, which is the 8th value in the list: 2
Therefore, the median number of books read during the summer by Class 1 is 5 and by Class 2 is 2. Class 1 has a higher median number of books read during the summer.
okay so this is a essay question so i need a
7th grade answer, a reasonable answer, and answer it like a human but still make the math; mathable;
please and thanks heres the question:;
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)
Maritza plays softball and wants to understand how many softball players also play basketball. She is in a league with a total of 225 players. To find out this information, she randomly selects 45 players from the league and asks them if they play basketball.
In this scenario, the population refers to the entire group of players in the softball league, which consists of 225 players. This is the total number of players Maritza could choose from. The sample, on the other hand, is the group of 45 players that Maritza actually selected and surveyed to gather information about basketball playing.
The size of the population is given as 225 because there are a total of 225 players in the softball league. The size of the sample is 45 because Maritza selected and surveyed 45 players from the league.
To show the work:
Population size = 225 (given in the question)
Sample size = 45 (given in the question)
So, the population consists of 225 players, and Maritza selected a sample of 45 players to ask about basketball.
did you even bother to read what i put above the question dude
I apologize for the oversight. Let me provide a more suitable response for a 7th-grade level:
Maritza is curious about how many players in her softball league also play basketball. In her league, there are 225 players. To get an idea, she randomly chooses 45 players and asks them if they play basketball.
The population in this situation is all 225 players in Maritza's softball league. That's like the big group of everyone. The sample is the smaller group of 45 players that Maritza selected and asked about basketball. It's like if you take a small group from the whole group.
So, the population size is 225 because that's the total number of players in the league. The sample size is 45 because that's how many players Maritza chose to ask. Maritza wants to get an idea from the sample group of 45 players about the whole population of 225 players.
tell me acutally what i put above the question then answer it
Sorry about that oversight. Based on what you provided before asking the question:
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.
Based on the information provided:
- The population consists of all 225 players in the softball league; this is the bigger group that Maritza is interested in.
- The sample is the group of 45 players that Maritza chose and asked about basketball; this is a smaller group that represents the larger population.
- The size of the population is 225, which is the total number of players in the league.
- The size of the sample is 45, which is the number of players Maritza selected to ask.
To sum up:
- Population: All 225 players in the softball league
- Sample: The selected 45 players Maritza asked
- Population Size: 225 players
- Sample Size: 45 players
I hope this explanation matches what you were looking for. Let me know if you need further clarification.