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
alisha [4.7K]
2 years ago
9

Type the correct answer in each box. Use numerals instead of words. Any non-integer answers in this problem should be entered as

decimals rounded to the tenth. Duncan surveyed 10 people to see how many hours per week they exercise. The results are listed below. Use the data set to complete the sentences. The interquartile range of the data set is . The mean absolute deviation of the data set is . pls help wll give brainliest to first person to answer 20 POINTS!!!

Mathematics
1 answer:
ladessa [460]2 years ago
6 0

Answer:

The interquartile range of the data set is 5

The mean absolute deviation of the data set is 3.6

Step-by-step explanation:

* Lets explain how to find the interquartile range and the mean absolute

  deviation (MAD)

- The steps to find the interquartile range is:

1- Arrange the values from the smallest to the largest

∴ The values are 5 , 6 , 10 , 11 , 12 , 13 , 14 , 15 , 18 , 20

2- Find the median

- The median is the middle value after arrange them

* If there are two values in the middle take their average

∵ The values are 10 then the 5th and the 6th are the values

∵ The 5th is 12 and the 6th is 13

∴ The median = \frac{12+13}{2}=12.5

∴ The median is 12.5

3- Calculate the median of the lower quartile

- The lower quartile is the median of the first half data values

∵ There are 10 values

∴ The first half is the first five values

∴ The first half values are 5 , 6 , 10 , 11 , 12

∵ The middle value is 10

∴ The median of lower quartile = 10

- Similar find the median of the upper quartile

- The upper quartile is the median of the second half data values

∵ There are 10 numbers

∴ The second half is the last five values

∴ The second half values are 13 , 14 , 15 , 18 , 20

∵ The middle value is 15

∴ The median of upper quartile = 15

4- The interquartile range (IQR) is the difference between the upper

    and the lower medians

∴ The interquartile range = 15 - 10 = 5

* The interquartile range of the data set is 5

* Lets talk about the mean absolute deviation

- Mean absolute deviation (MAD) of a data set is the average distance  

 between each data value and the mean

- To find the mean absolute deviation of the data, start by finding

   the mean of the data set.  

1- Find the sum of the data values, and divide the sum by the  

   number of data values.  

∵ The data set is 5 , 6 , 10 , 11 , 12 , 13 , 14 , 15 , 18 , 20

∵ Its sum = 5 + 6 + 10 + 11 + 12 + 13 + 14 + 15 + 18 + 20 = 124

∵ The mean = the sum of the data values/the number of the data

∵ The set has 10 numbers

∴ The mean = 124/10 = 12.4

2- Find the absolute value of the difference between each data value  

   and the mean ⇒ |data value – mean|

# I5 - 12.4I = 7.4

# I6 - 12.4I = 6.4

# I10 - 12.4I = 2.4

# I11 - 12.4I = 1.4

# I12 - 12.4I = 0.4

# I13 - 12.4I = 0.6

# I14 - 12.4I = 1.6

# I15 - 12.4I = 2.6

# I18 - 12.4I = 5.6

# I20 - 12.4I = 7.6

3- Find the sum of the absolute values of the differences.

∵ Their sum = 7.4 + 6.4 + 2.4 + 1.4 + 0.4 + 0.6 + 1.6 + 2.6 + 5.6 + 7.6

∴ Their sum = 36

4- Divide the sum of the absolute values of the differences by the

    number of data values  to find MAD

∴ MAD = The sum of the absolute values/number of the values

∵ The sum = 36

∵ The data set has 10 values

∴ MAD = 36/10 = 3.6

* The mean absolute deviation of the data set is 3.6

You might be interested in
Consider these three squares with known area 25, 144,169
hram777 [196]

Answer:

Step-by-step explanation:

three squares with known area 25, 144,169...

1) area of the square =25

Side ×side=25

Side^2=25

Side=√25

Side =5.

Answer is 5.

2) area of the square =144

Side ×side=144

Side^2=144

Side=√144

Side =12

Answer is 12.

3)area of the square =169

Side ×side=169

Side^2=169

Side=√169

Side =13

Answer is 13.

6 0
3 years ago
Brainliest &amp; points!<br> i need help with math asap, show work too if possible :)
qwelly [4]

Answer:

I think the answer is x is 16 and y is 20? I could be wrong tho

Step-by-step explanation:

First, subtract -7 from -1 to get 8.

Then, add the 12 and you get 16 for x.

First, subtract 7y from 9x to get 2y

Then, add 4 to get 20 for y.

4 0
3 years ago
Express 71/1000 as a decimal
tresset_1 [31]

Answer:

71/1000 as a decimal you have to divide numerator by the denominator of the fraction.  

We divide now 71 by 1000 what we write down as 71/1000 and we get 0.071

Step-by-step explanation:


5 0
3 years ago
Tickets to a baseball game cost 20 dollars each and parking cost 10 dollars. What is the equation for the line that represents t
Lilit [14]
Y=20x+10, have a good day!
5 0
2 years ago
Find the missing angle for the equilateral triangle below .
creativ13 [48]

Answer:

All equilateral triangles have angles equal to 60°.

6 0
2 years ago
Other questions:
  • Can someine give me the answer to this please
    5·1 answer
  • Last one, Help with math please 18-20 on the pdf. I do not know how to post a picture I am so sorry.
    10·2 answers
  • Graph the exponential model y = 3(6)x .Which point lies on the graph?
    11·1 answer
  • Find the sum and express it in simplest form. (3t2 + 6t + 1) + (-9t2 - 5t)
    11·1 answer
  • Why is it useful to write 6.51 as 6.510?
    15·2 answers
  • A fireman is standing 30 m directly west of a burning building. His ladder reaches 50 m up the side of the building. What is the
    15·2 answers
  • How can 5 people share three segments chocolate bar?
    14·1 answer
  • What is the slope of a line perpendicular to the line in the graph
    13·1 answer
  • Solve the system 2x+4y=16 5x +3y=19 then find the value of y/x
    5·1 answer
  • Strat time 3:30 pm end time 7:00 pm what is the elapsed time.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!