=========================================================
Explanation:
Let's add up the values we're given to get
22 + 20 + 23 + 2 + 21 + 25 + 31 + 28 = 172
Then divide by 8, since there are 8 values in this set, leading to 172/8 = 21.5
The mean of the original set is 21.5
We'll come back to this later.
------------------
If you sort the values of {22, 20, 23, 2, 21, 25, 31, 28} you would get the list {2, 20, 21, 22, 23, 25, 28, 31}
Cross off the first and last number to reduce things to this smaller set {20, 21, 22, 23, 25, 28}
Repeat again, cross off the first and last number, and we now have {21, 22, 23, 25}
Do that one more time to be left with {22,23}
The median is the value at the midpoint of 22 and 23. Add these up and divide by two: (22+23)/2 = 45/2 = 22.5
The median is 22.5
The items lower than the median are L = {2, 20, 21, 22} while the items in the upper set above the median are U = {23, 25, 28, 31}.
You should find the median of set L is 20.5 and the median of set U is 26.5
Therefore Q1 and Q3 are 20.5 and 26.5 respectively
Q1 = 20.5
Q3 = 26.5
Use these two values to get the interquartile range (IQR)
IQR = Q3 - Q1
IQR = 26.5 - 20.5
IQR = 6
Then we can compute the lower fence which I'll call m
lower fence = Q1 - 1.5*IQR
lower fence = 20.5 - 1.5*6
lower fence = 11.5
We can see the data value "2" is smaller than the lower fence 11.5; anything below the lower fence is considered an outlier.
------------------
All of the previous section was to find if we had an outlier, and identify what that outlier is. We found the single outlier is 2.
We could have probably done all of that by simply noticing that 2 is far from the main cluster of other values in the 20s; however, sometimes picking the outlier isn't that straightforward. So it's good practice to use the method described above.
Anyways, we'll remove the outlier "2" and we're left with this set {22,20,23,21,25,31,28}
Add up those values to get
22 + 20 + 23 + 21 + 25 + 31 + 28 = 170
Then divide that by 7, since we tossed out one value, and we get
170/7 = 24.2857 approximately
This is new mean.
------------------
To summarize:
The mean of the original set is exactly 21.5The mean of the set after we remove the outlier is roughly 24.2857We can see that the mean has increased. The very small outlier pulls on the mean to get smaller. Removing said outlier will then increase the mean so that it gravitates toward the main cluster. The mean is the center so if you remove the far outlier, then the center gravitates toward where the other values are located.
Aaron works at a furniture store. He sells a
table that normally costs $670 but is on sale
for 15% off. If he makes 8% commission on
the sale price, how much will he make in
commission?
Answer:
$45.56
Step-by-step explanation:
Amount Aaron will make in commission
= 100-15
=85% of 670
=569.5
=8% of 569.5
=$45.56
can somebody tell me the answer for both these questions please
Answer:
I think they're both B
Step-by-step explanation:
Answer:
for the first 1 the answer is D. for number 2 the answer is C
Step-by-step explanation:
Please help as fast as you can!
Answer:
B. [tex]3h+2k[/tex]
Step-by-step explanation:
This is because...
[tex]h+h+h+k+k[/tex]
[tex]h+h+h=3h[/tex]
and
[tex]k+k=2k[/tex]
So...
This give you answer of B. [tex]3h+2k[/tex]
Hope this helps!!
All the love, Ya boi Fraser :)
PLEASE HELP i dont knoww
Answer:
Step-by-step explanation:
1. A
2. A
They both are A
Hope this helps!
Answer:
im geussing the first one is A or B and the second one is B.
Step-by-step explanation:
plants are autotrophs and algae is a type of plant so both can produce their own food but in an aquatic inviorment they could also be consumors.
sorry if this dosent help.
please answer the question
Answer:
Interphrase
Step-by-step explanation:
Cell replicates its chromosomes and prepares for cell division
i need help asap 1/2k=20
Answer:
K=40
Step-by-step explanation:
40 divided by 2 is 20.
Answer:k=40
Step-by-step explanation:
Let's solve your equation step-by-step.
1
2
k=20
Step 1: Multiply both sides by 2.
2*(
1
2
k)=(2)*(20)
k=40
Kim's Family spends $62.50 on dinner. They leave an 18% tip. How much is their total bill after tip?
A: $73.75
B: $51.25
C: $11.25
Answer:
C
Step-by-step explanation:
Answer:
A: $73.75
Step-by-step explanation:
18% of 62.50 is 11.25
11.25 + 62.50 = 73.75
Answer:
A: $73.75
Help please!!!! I'll give 17 points!
Answer:
80
Step-by-step explanation:
I took 8 multiply by 10
Answer:
The unknown sequence:
The answer is 80.
The rule:
The answers of sequence 2 are double that of sequence 1.
can somebody plz help with this i will give brainliest
HHHHHHHHEEEEEEEEEELLLLLLLLPPPPPPP
A candy bar costs $0.79
Find the price of the candy bar if it is sold with a 65% mark up
A. $1.58
B. $1.44
C. $1.30
D. $1.17
Answer:
C. $1.30
Step-by-step explanation:
Multiply 0.79 and 0.65 (65%) which is about 0.51.
Add that to 0.79.
Answer:
$ 1.30
Step-by-step explanation:
Increased price = 65% of $0.79
[tex]\frac{65}{100}*0.79[/tex]
= 0.65 * 0.79
= 0.5135
= $ 0.51
Selling price = 0.79 + 0.51 = $ 1. 30
Help me please!!!! I'll give brainiest!
Answer:
-20x squared + 24x
HELP PLS. Solve the system I circled in red.
Please help me, I am not sure what the answer is!
Answer:
The answer is r = 19 ft.
I already learned this
what is the balls max height and how long does it take to get there
h=-16t^2+48t+8
1.5 is the answer
IKNOW
please help how do i do this on a number line or area model
Answer:It is 7/12
Step-by-step explanation:
because 1 1/3-9/12=7/12
(this has two parts please answer both!)
1.Find the perimeter of the rectangle, in inches:
choices:
6/12
1 5/12
2 inches
2 5/6
2.Find the perimeter of the rectangle, in meters:
choices:
1 11/20
5 meters
3/5
3 3/5
PLEASE HELP ASAP!!!
Answer:
Step-by-step explanation:
10.5% I think
Answer question 15 and I will give brainlest.
PLEASE HELP QUICK!! I NEED IT ASAP
Answer:
B is the answer
Step-by-step explanation:
you can use the quadratic formula to solve this
Answer:
The answer is B, -6.61,0.61.
Which is NOT a common denominator for 2 2/3 and 4 1/2?
Answer:
d
Step-by-step explanation:
1/5 divided by 1/3 pls help
Answer:0.0666666667
Step-by-step explanation:
Helllllllp please ASAP
Answer:
The second one
Step-by-step explanation:
Answer: B
Step-by-step explanation:
The first person to answer correctly gets Brainiest
Answer: It is greater than 2
Step-by-step explanation:
Answer:
greater than 2
Step-by-step explanation:
which formula should be used to find the area of a trapezoid
Answer:
h(b1+b2)/2
Step-by-step explanation:
since it's not a full rectangle the height needs to be divided by 2.
helpppppppppppppp please
Answer:
You didn't list a question
Step-by-step explanation:
anyone anybody plz your girl lazy and dum
Answer:
C: 175
Step-by-step explanation:
((5×5)×21)/3
25×21/3
525/3
175
What kind of Function best models the Data in the table?
Answer:
a) linear
Step-by-step explanation:
Linear keeps a steady pace throughout the function. in the graph, the function is decreasing by 0.5
If there's 52 episodes in a tv-show season and each episode is 8 mins long, how many hours/mins would it take to finish the season?
Answer:
6hours and 56 minutes
Step-by-step explanation:
52*8=6.93333333 (6 hours and some minutes)
remove the 6 hours and work out the minutes
0.933333*60= 56 minutes
Answer:
I’m pretty sure it’s 416
Step-by-step explanation:
If you multiply 56 and 8 you get 416 I’m not completely sure but I hope this was helpful. :)
Help me am almost finishing the page
Answer:
-7.78 ,-7[tex]\frac{13}{20}[/tex], -7[tex]\frac{17}{100}[/tex]
Step-by-step explanation:
Convert the two fractions into decimals
-7[tex]\frac{13}{20}[/tex] = -7.65
-7[tex]\frac{17}{100}[/tex] = -7.17