1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
liq [111]
3 years ago
7

The box-and-whisker plot below shows the numbers of text messages received in one day by students in the seventh and eighth grad

es 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?
Mathematics
1 answer:
Leya [2.2K]3 years ago
6 0
<h3><u>Answer with explanation:</u></h3>

From the box and whisker plot of seventh grade we have:

The minimum value =6

First quartile or lower quartile i.e. Q_1 = 14

Median or second quartile i.e. Q_2 = 18

Third quartile or upper quartile i.e. Q_3 =22

and maximum value = 26

From the box and whisker plot of eighth grade we have:

The minimum value =22

First quartile or lower quartile i.e. Q_1 = 26

Median or second quartile i.e. Q_2 = 30

Third quartile or upper quartile i.e. Q_3 = 34

and maximum value = 38

a)

The overlap of the two sets of data is as follows.

  • The upper quartile or third quartile of seventh grade is same as the minimum value of the data of eighth grade.
  • And the maximum value of seventh grade is same as the lower quartile of eighth grade.

b)

IQR is calculated as the difference of the Upper quartile and the lower quartile

i.e. Q_3-Q_1

so, IQR of seventh grade is:

22-14=8

IQR of seventh grade=8

IQR of eighth grade is:

34-26=8

Hence, IQR of eighth grade=8

c)

The difference of the median of the two data sets is:

30-18=12

Hence, the difference of median is: 12

d)

As the IQR of both the sets is same i.e. 8.

Hence, the number that must be multiplied by IQR so that it is equal to the difference between the medians of the two sets is:

8\times n=12\\\\n=\dfrac{12}{8}\\\\n=\dfrac{3}{2}\\\\n=1.5

Hence, the number is : 1.5

You might be interested in
Helpppppppppppppppppppppppppp
Virty [35]

Answer:

3:1

Step-by-step explanation:

There are 3 birch trees and one willow tree

4 0
2 years ago
A rectangle measures 15 cm by 4 cm what's it's area
schepotkina [342]
The way you find area is multiplying width times height, so you have to multiply 15 by 4 which equals 60. Therefore the answer is 60
5 0
2 years ago
Hulu had 258 no ad subscribers. The ratio of regular subscribers to no ad subscribers was 10:3. How many regular subscribers did
irina [24]

Answer:

860 regular subcribers

Step-by-step explanation:

258 / 3 = 86

86 * 10 = 860

Best of Luck!

4 0
2 years ago
One last stop before you head home. You and your friends are worn out, but you can’t help but stop for a candy apple to eat on t
Goshia [24]
The best deal would be 5 apples for 6.25

Hope this helps

Have a great day/night

Feel free to ask any questions
5 0
2 years ago
What is the sum of -6 and 9
katrin2010 [14]
Positive 3, If You're starting at -6 and you add the first 6 it's at 0, now you have 3 more to add to make 9. And that gives you positive 3. or if you do 9 - 6 you can get your answer that way too.
7 0
3 years ago
Other questions:
  • What is the easiest math problem in the world
    11·2 answers
  • The minute hand of a clock is 4 inches long. how far does the tipof the minute hand move in 20 minnutes?
    5·1 answer
  • johns test grades in his science class are 82, 93, 75, and 89 what is his average? 1. (87.45) 2. (80.00) 3. (90.40) 4. (89.25) 5
    6·2 answers
  • Can someone help me solve this equation for 3/4w-1/2w-4= 12
    11·1 answer
  • If two planes intersect, they intersect in exactly one ?
    6·2 answers
  • Plssss help me on this one. What’s is the interquartile range of the data?
    10·2 answers
  • I need help please someone help me
    7·1 answer
  • What does the equation y=mx+b mean? Hey new to brainly and looking for people to chat with.
    10·1 answer
  • The graph shows the relationship between the distance a bicyclist travels and the time in hours.
    14·1 answer
  • Divide<br><br> -5/9 by 5/7 :<br><br> a)-7/9<br> b)-9/7<br> c)7/9<br> d)9/7
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!