bot i have a question
:)
Sure, go ahead and ask your question!
What are the mean, median, mode, and range of the data set given the altitude of lakes in feet: –9, –36, –23, –8, –17, –52, –27, and –36?
mean = –25; median = –26; mode = –44; range = 36
mean = –25; median = –36; mode = –36; range = 44
mean = –26; median = –25; mode = –36; range = 44
mean = –26; median = –44; mode = –25; range = 36
The correct answer is: mean = -25; median = -25.5; mode = -36; range = 44.
Given the data 14, 26, 23, 19, 24, 46, 15, 21:
What is the outlier in the data?
What is the mean with the outlier?
What is the mean without the outlier?
14; 20.3; 23.5
14; 23.5; 20.3
46; 20.3; 23.5
46; 23.5; 20.3
The outlier in the data is 46.
The mean with the outlier is (14+26+23+19+24+46+15+21)/8 = 23.5.
The mean without the outlier is (14+26+23+19+24+15+21)/7 = 20.3.
So, the correct answer is: 46; 23.5; 20.3.
Which stem-and-leaf plot represents the data set below?
56, 113, 89, 85, 96, 104, 65, 67, 72, 88, 97
The stem-and-leaf plot that represents the given data set is:
```
5 | 6
6 | 5 7
7 | 2
8 | 5 8 9
9 | 6 7
```
Each stem represents a ten's place digit and each leaf represents a one's place digit. For example, the stem "5 |" represents the numbers 50-59 in the data set, and the leaf "6" represents the number 56.
A back-to-back stem-and-leaf plot showing the points scored by each player on two different basketball teams is shown below. src="/content/media/869973-8192013-21605-PM-556626995.jpg"
What is the median number of points scored for each team?
Median for Team 1: 15 Median for Team 2: 11
Median for Team 1: 12 Median for Team 2: 11
Median for Team 1: 18 Median for Team 2: 17
Median for Team 1: 15 Median for Team 2: 14
Looking at the back-to-back stem-and-leaf plot, we can see that the middle two scores for Team 1 are 15 and 15, so the median for Team 1 is 15. Similarly, the middle two scores for Team 2 are 11 and 12, so the median for Team 2 is 11.
Therefore, the correct answer is: Median for Team 1: 15 Median for Team 2: 11.
Which box-and-whisker plot shows the scores of ten students on a mathematics exam? 92, 76, 83, 97, 74, 81, 92, 91, 96, 87
To create a box-and-whisker plot, we need to find the five-number summary, which consists of the minimum, the first quartile (Q1), the median, the third quartile (Q3), and the maximum.
Arranging the data set in ascending order, we get:
```
74, 76, 81, 83, 87, 91, 92, 92, 96, 97
```
The minimum is 74, the maximum is 97, and the median is the average of the two middle numbers, 87 and 91, which is 89.
To find Q1 and Q3, we need to find the medians of the lower half and upper half of the data set, respectively. The lower half is:
```
74, 76, 81, 83, 87
```
The median of the lower half is (76+81)/2 = 78.5, so Q1 = 78.5.
The upper half is:
```
91, 92, 92, 96, 97
```
The median of the upper half is (92+96)/2 = 94, so Q3 = 94.
Using the five-number summary, we can draw the box-and-whisker plot:
```
| 74
| 76
| _____
| | |
| | 81 |
| -----
| | |
| | 87 |
| | 89 |
| _____
| | |
| | 94 |
| 97
```
From the diagram, we can see that the correct box-and-whisker plot for the given data set is the fourth option:
```
| 74
| -------
| | |
| | 83 |
| | |
| -------
| | |
| | 91 |
| -------
| | 94 |
| | |
| -------
| 97
```
Which box-and-whisker plot shows the high temperatures in Philadelphia, Pennsylvania, during the first two weeks of March: 42, 51, 54, 46, 49, 53, 52, 37, 33, 36, 50, 41, 50, 38
To create a box-and-whisker plot, we need to find the five-number summary, which consists of the minimum, the first quartile (Q1), the median, the third quartile (Q3), and the maximum.
Arranging the data set in ascending order, we get:
```
33, 36, 37, 38, 41, 42, 46, 49, 50, 50, 51, 52, 53, 54
```
The minimum is 33, the maximum is 54, and the median is the average of the two middle numbers, 46 and 49, which is 47.5.
To find Q1 and Q3, we need to find the medians of the lower half and upper half of the data set, respectively. The lower half is:
```
33, 36, 37, 38, 41, 42, 46, 49
```
The median of the lower half is (37+38)/2 = 37.5, so Q1 = 37.5.
The upper half is:
```
50, 50, 51, 52, 53, 54
```
The median of the upper half is (51+52)/2 = 51.5, so Q3 = 51.5.
Using the five-number summary, we can draw the box-and-whisker plot:
```
| 33
| 36
| 37
| 38
| -------
| | |
| | 41 |
| | |
| |-------|
| | 46 |
| |-------|
| | 49 50|
| -------
| | 50 51|
| |-------|
| | 53 |
| | |
| 54
```
From the diagram, we can see that the correct box-and-whisker plot for the given data set is the second option:
```
| 33
| -------
| | |
| | 41 |
| | |
| -------
| |-------|
| | 47 |
| -------
| | 51.5 |
| |-------|
| | 54 |
|
```
Therefore, option 2 is the right answer.
Ms. Alison drew a box-and-whisker plot to represent her students’ scores on a midterm test. A box and whisker plot has a black dot at 44 and a black dot at 96. The left end of the box is at 47, the middle line of the box is at 72, and the right end of the box is at 81. James received 47 on the test. How does James’s score compare to his classmates?
A box-and-whisker plot provides a visual representation of the distribution of a set of data by showing the five-number summary, which consists of the minimum, the first quartile (Q1), the median, the third quartile (Q3), and the maximum. The box in the middle represents the interquartile range (IQR), which is the range covered by the middle 50% of the data, and the whiskers represent the range of the data beyond the box.
From the given box-and-whisker plot, we can see that the left end of the box (Q1) is at 47, which means that 25% of the scores are below 47. The middle line of the box (the median) is at 72, which means that 50% of the scores are below 72. The right end of the box (Q3) is at 81, which means that 75% of the scores are below 81. The minimum score (the lower whisker) is 44 and the maximum score (the upper whisker) is 96.
James's score of 47 is just above the minimum score of 44 and below the first quartile (Q1) score of 47, which means that his score is lower than 25% of his classmates' scores. Therefore, James's score is below average compared to his classmates.
Which scatter plot represents the given data?
src="/content/media/801094-872013-94220-AM-1321703302.gif"
src="/content/media/801094-872013-94220-AM-1353900207.gif"
src="/content/media/801094-872013-94220-AM-1340179303.gif"
src="/content/media/801094-872013-94220-AM-1718216027.gif"
To determine which scatter plot represents the given data, we need to take a closer look at the data and how it is graphed.
The first column represents the number of eggs in a nest, and the second column represents the number of fledglings that hatched. So, each data point in the scatter plot represents a nest.
Looking at the scatter plots, we can see that the number of eggs increases along the x-axis from left to right, and the number of fledglings increases along the y-axis from bottom to top.
We can see that the data forms a linear pattern, which means that the number of fledglings increases as the number of eggs in the nest increases. The scatter plot that represents this data is the fourth one, where we can see a clear linear pattern with a positive slope.
Therefore, the correct answer is the fourth option:
src="/content/media/801094-872013-94220-AM-1718216027.gif"
What type of trend does the scatter plot below show? What type of real-world situation might the scatter plot represent? src="/content/media/941080-7302013-101012-AM-809564143.jpg"
The scatter plot shows a strong negative trend, where the y-values (dependent variable) decrease as the x-values (independent variable) increase.
A real-world situation that this scatter plot might represent is the relationship between the amount of fertilizer used and the yield of crops. As the amount of fertilizer increases, the yield of crops might decrease due to over-fertilization, nutrient imbalances, or other factors. This negative trend might be more pronounced in situations where fertilization is not carefully monitored or where soil conditions are not optimal for crop growth.