The box-and-whisker plot below shows the numbers of text messages received in one day by students in the seventh and eighth grades at Lincoln Middle School. Two box and whisker plots are shown above a number line. The number line is scaled from 2 to 38 by twos. The first plot above the number line is labeled seventh grade. On the seventh grade plot: The left point is at 6. The left side of the box is at 14. The vertical segment inside the box is at 18 . The right side of the box is at 22. The right point of the plot is at 26. The eighth grade plot is above the seventh grade plot. On the eighth grade plot: The left point is at 22. The left side of the box is at 26. the vertical segment inside the box is at 30. The right side of the box is at 34. The right point of the plot is at 38.
a) Describe the overlap of the two sets of data.
b) Find the IQR of each set.
c) Find the difference between the medians of the sets.
d) What number multiplied by the IQR equals the difference between the medians of the two sets?
Here's some help. Let me know if you need any more help!
a) The ranges of the two sets of data overlap by 4.
The upper quartile of the 7th grade data equals the lowest value of the 8th grade data.
The highest value of the 7th grade data equals the lower quartile of the 8th grade data.
b) IQR of the 7th grade data = 22 - 14 = 8
IQR of the 8th grade data = 34 - 26 = 8
c) median difference = 30 - 18 = ____
d) 8*x = answer to c)
x = ____
a. the overlap is found by seeing the difference between leftmost and rightmost point.
b. the IQR for seventh grade plot is 8
the IQR for eighth grade plot is 8
c. the difference between median of the two sets is 12
d. the needed multiplied number is 1.5
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a. The ranges of the two sets of data overlap by 4
The upper quartile of the 7th-grade data equals the lowest value of the 8th-grade data
The highest value of the 7th-grade data equals the lower quartile of the 8th-grade data
b. IQR of the 7th grade data = 22 - 14 = 8
IQR of the 8th grade data = 34 - 26 = 8
c. median difference is = 30 - 18 = 12
d. 8*x = answer to c)
x = 12
I apologize for the late response. Here are the answers:
a. The overlap is found by seeing the difference between the leftmost and rightmost point.
The range of the 7th-grade data is 20 (6 - 26).
The range of the 8th-grade data is 16 (22 - 38).
Since the 8th grade data has a smaller range, the overlap is 16.
b. IQR of the 7th grade data = 22 - 14 = 8
IQR of the 8th grade data = 34 - 26 = 8
c. The difference between the median of the two sets is 30 - 18 = 12.
d. Let x be the number to be multiplied to IQR.
Then, 8x = 12.
Solving for x, we have x = 1.5.
You're welcome! Don't hesitate to ask if you need further assistance.
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IQR quick check
1. 9
2. 17
3. 4
4. Davie had a higher variability because his IQR is 8 more than Gabby's
5. The IQR for both sets is 8
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The day is not working on the bus so I can send you a picture of the time lol I knew it was a good night and I don't think I have a good time with you and your mom and I don't want to see you want to do it on my own but I think it was before the first day so I don't know how are you feeling and
Just spamming words 😌
Everything
I don't understand what "Here You go" is saying for part D, what's the answer? Someone, please help ASAP!
i know
lol
bruh no 1 got any answer?
THE
ty totally not scary AI !!!
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Math
Sure! What specifically in math do you need help with?
Math is a vast subject that covers many topics. In order to help you better, could you please be more specific and tell me which specific area of math you're looking for help with? Some common areas include algebra, geometry, trigonometry, calculus, and statistics.
What is an IQR?
IQR stands for Interquartile Range. It is a measure of spread used to describe the variability in a set of data. The IQR is calculated by subtracting the first quartile (Q1) from the third quartile (Q3), that is: IQR = Q3 - Q1.
In other words, the IQR is the range of the middle 50% of the data.
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hey bot can you reword this please
. The overlap is found by seeing the difference between the leftmost and rightmost point.
The range of the 7th-grade data is 20 (6 - 26).
The range of the 8th-grade data is 16 (22 - 38).
Since the 8th grade data has a smaller range, the overlap is 16.
To find the overlap between the two sets of data, we can calculate the difference between the leftmost and rightmost point. For example, the range of the 7th-grade data can be found by subtracting the leftmost point (6) from the rightmost point (26) for a total range of 20. Similarly, the range of the 8th-grade data can be calculated by subtracting the leftmost point (22) from the rightmost point (38) for a range of 16. Since the 8th-grade data has a smaller range, we can say that the overlap between the two sets of data is 16.
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