A dendrologist measures the height (in feet) of a Mature Red Maple, Big Leaf Maple, Jack Pine, Eastern White Pine, Loblolly Pine, Slash Pine, Longleaf Pine, Black spruce, and Balsam Fir. The recorded heights are given below.
73, 68, 73, 85, 92, 81, 88, 35, 48
Mean
Median
Mode
Answers
73, 68, 73, 85, 92, 81, 88, 35, 48
Mean ↯[tex] \boxed{ \tt \: mean = \frac{sum \: of \: observations}{total \: number \: of \: observations} }[/tex]
Total number of observations = 9[tex] \sf \rightarrowtail \: mean = \frac{73 + 68 + 73 + 85 + 92 + 81 + 88 + 35 + 48}{9} [/tex]
To make the calculation easier, first add the numbers that sum to multiples of 10
[tex] \sf \rightarrowtail \: mean = \frac{643}{9} = 71.4[/tex]
[tex]\red{⊱─━━━━━━━━⊱༻●༺⊰━━━━━━━━─⊰}[/tex]
Median ↯35, 48, 68, 73, 73, 81, 85, 88, 92
[tex] \boxed{ \tt \: median = ( \frac{n + 1}{2} ) ^{th} \: term }[/tex]
n is the number of observations I.e. 9 in our case[tex] \sf \multimap \: median = (\frac{9 + 1}{2} )^{th} \: term[/tex]
[tex] \sf \multimap \: median = (\frac{10}{2} )^{th} \: term[/tex]
[tex] \sf \multimap \: median = 5^{th} \: term[/tex]
[tex] \sf \multimap \: median = 73[/tex]
[tex]\red{⊱─━━━━━━━━⊱༻●༺⊰━━━━━━━━─⊰}[/tex]
Mode ↯35, 48, 68, 73, 73, 81, 85, 88, 92
The most occurred number is 73 it has occurred 2 times. Hence, it is the mode!Step-1: Add the data set.
[tex]\bullet \ \ 73 + 68 + 73 + 85 + 92 + 81 + 88 + 35 + 48[/tex]
[tex]\bullet \ \ 643[/tex]
Step-2: Divide the "added" data set by the total digits in the data set.
There are nine digits in the data set.
[tex]\bullet \ \ \frac{643}9}[/tex]
[tex]\bullet \ \ 71.44[/tex]
Thus, the mean of the data set is 71.44.
Solution (Finding the median of the data):Step-1: Arrange the data set in descending form.
Greatest => Smallest
[tex]\bullet \ \ 73, 68, 73, 85, 92, 81, 88, 35, 48[/tex]
[tex]\bullet \ \ 92, 88, 85, 81, 73, 73, 68, 48, 35[/tex]
Step-2: Count the number of digits in the data.
[tex]\bullet \ \ \tex\text{9 digits in total}[/tex]
Step-3: Revise the following.
[tex]\bullet \ \ \tex\text{If there are even number of digits:} \ \frac{\tex\text{(Number of digits)}}{2}[/tex]
[tex]\bullet \ \ \tex\text{If there are odd number of digits:} \ \frac{\tex\text{(Number of digits)} + 1}{2}[/tex]
Step-4: Odd or Even?
[tex]\bullet \ \ \tex\text{Even numbers:} \ 2, 4, 6, 8, 10...[/tex]
[tex]\bullet \ \ \tex\text{Odd numbers:} \ \ 1, 3, 5, 7, \bold{9}, 11...[/tex]
There is an odd number of digits.
Step-5: Use the formula.
[tex]\bullet \ \ \frac{\tex\text{(Number of digits)} + 1}{2}[/tex]
[tex]\bullet \ \ \frac{\tex\text{9} + 1}{2}[/tex]
[tex]\bullet \ \ \frac{\tex\text{10}}{2}[/tex]
[tex]\bullet \ \ 5[/tex]
The fifth digit in the data is the median.
Step-6: Revise the data set.
[tex]\bullet \ \ 92, 88, 85, 81, \bold{73}, 73, 68, 48, 35[/tex]
The median is 73.
Solution (Finding the mode of the data set:The most repeating number is the mode. Let's put the data set in a frequency table.
Step-1: Putting the data set in a frequency table:
~Table attached
Looking at the table, we can tell that 73 has repeated two times and has repeated the most.
The mode is 73.
Related Questions
Write in slope-intercept form an equation of the line that passes through the given points.
(6,8),(3,−9)
Answers
Answer:
[tex]51.6 |54x81..65107 {36.01(21. \sqrt[365.]{gaa} }^{2} |[/tex]
Answer:
y = 17/3x - 26
Step-by-step explanation:
Remember the slope formula:
[tex]m = \frac{y2-y1}{x2-x1} \\[/tex]
[tex]m = \frac{-9-8}{3-6}\\\\m = \frac{-17}{3}\\\\m = \frac{17}{3}[/tex]
Slope: 17 / 3
First part of equation: y = 17/3x + b
To find b, plug in the values from the points we know:
[tex]-9 = \frac{17}{3} * 3 + b\\-9=17+b\\b+17=-9\\b=-26\\[/tex]
Therefore, the Y-intercept is -26
Combining all the parts, the answer is y = 17/3x - 26
Calculate the simple interest to the nearest cent.
$1,382 at 3.25% for 4 years.
$____
Answers
Answer
Intrest is $ 179.66
Step-by-step explanation:
please help me ill give you da crown
Answers
Answer:
ABBY, EVE (preferred one spelled same backwards)
Step-by-step explanation:
They are both symmetrical names
Pls, help!!!! Will make brainliest!!!
Answers
Answer:
y=2x+6
Step-by-step explanation:
slope intercept formula → y=mx+b
[tex]\frac{6-2}{0-(-2)} =\frac{4}{2} =2\\[/tex]
so 2 is your slope and the point (0,6) crosses the y-intercept at 6 since x = 0
plugin 2 for m (or the slope) and 6 for b (y-intercept)
your answer → y=2x+6
What is the value of 7(3x-4)+[tex]4^{3}[/tex], when x=6?
Answers
Answer:
[tex]162[/tex]
Step-by-step explanation:
[tex]7(3x-4)+4^3\\\\7(3(6)-4)+4^3\\\\7(18-4)+4^3\\\\7(14)+4^3\\\\98+4^3\\\\98+64\\\\162[/tex]
Hope this helps!
PLEASE HELP QUICKLY!!!!!
Answers
Answer:
Anything greater than 1
Step-by-step explanation:
x>1 or x is greater than 1, so it is not equal, so it would be an open circle on 1 with an arrow pointing the same direction as the sign.
6-[(-3)+(-7)]-[(-1)-(-5)-(-8)]
Answers
Answer:
4
Step-by-step explanation:
we simplified the expression.
Hope it helps!!!!!Brainliest pls!!!!!!6-[-10]-[-1+5+8]
6-[-10]-[-1+13]
6-[-10]-[12]
6+10-12
16-12
4
Help meee asap please
Answers
Answer:
The answer is $5.60
Step-by-step explanation:
5x6x3= 90
504/90= 5.6
Check the work
5.6 x 90= 504
So I have this math project question and I've been stuck for a bit. Any and all questions will be answered.
Answers
Answer:
for row one put 1/2 the numbers. for row 2 put 3/4 of the numbers. row 3 put 1/4 of the numbers.
Step-by-step explanation:
hope you get a good grade and hope we can be friends
The figures are similar. Find x.
Brainiest to the correct person!
Answers
9-4 is 5 so it went down 5
15-5 is 10.
Answer:
x= 6 and 2/3 or 6.6 repeating.
Step-by-step explanation:
9/4 is 2.25 then we take 15 and divide it by 2.25 in order to get 6.6 repeating and that should be the answer.
In the figure below, DOG, ION, and IDO are congruent and isosceles, each with perimeter 55. The quadrilaterals FLIN, DIES, and DRAG are all squares. The perimeter of the 11-sided polygon DRAGONFLIES is 127.
What is the area of DRAG?
Answers
Let's call the sides that are length DG " s " .
And let's call the sides that are length GO " t ".
Since the perimeter of each triangle is 55...
s + t + t = 55
s + 2t = 55
2t = 55 - s
Since the perimeter of the entire figure is 127...
9s + 2t = 127
Since 2t = 55 - s , we can replace 2t with 55 - s .
9s + (55 - s) = 127
8s + 55 = 127 Subtract 55 from both sides.
8s = 72 Divide both sides by 8 .
s = 9
And...the area of the square DRAG = DG2 = s2 = 92 = 81 sq. units.
Consider this graph of a line that passes through the points (0,0) and (5,30)
Which equation represents the cost of a phone call, c, in cents, after m minutes, according to the payment plan?
A. c=1/6m
B. c=6m
C. c=1/30m
D. c=30m
Answers
Answer:
B
Step-by-step explanation:
Slope equals rise over run so the slope of this line is 30/5 or 6. That means for every minute calling you would have to pay 6 cents which is shown in the equation c=6m.
the slope of the line represents the rate of the plan and can be calculated by using the change in y values divided by the change in x values of two points on the line. In this case, it would be easiest to pick 0 and 6 as y values, and 0 and 1 as x values. then,
slope = (6-0) / (1-0)
slope = 6/1
slope = 6
therefore the slope is 6 and the correct equation is B: c=6m
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 8 people took the trip. She was able to purchase coach tickets for $200 and first class tickets for $1210. She used her total budget for airfare for the trip, which was $4630. How many first class tickets did she buy? How many coach tickets did she buy?
Answers
Answer:
3 1st class tickets and 5 coach tickets
Step-by-step explanation:
1. Subtract 3630 (cost of 3 1st class tickets) from the budget to get 1000.
2. Subtract 1000 (cost of 5 coach tickets) from your remaining budget to get 0.
write a rational number in fraction form that is equivalent to 2.5 (repeating)
Answers
Answer:
That would be 2/4 equivalent to 1/2 (2.5)
Step-by-step explanation:
Sorry if I'm wrong
Answer: 2 1/2 is the right answer
Step-by-step explanation:
What series of steps would result in the correct solution to the equation -8(0.5y-3)=3
A. Distribute -8. Subtract 24 from both sides. Divide by 4
B. Distribute -8. Add 24 to both sides. Divide by -4.
C. Distribute -8. Add 24 to both sides. Divide by 4.
D. Distribute -8. Subtract 24 from both sides. Divide by -4
Answers
PLEASE HELP QUICK
Is this triangle acute, right, or obtuse?
acute
right
obtuse
Answers
This is because the lower left angle is larger than 90 degrees. This is assuming the triangle is drawn to scale (i.e. drawn accurately).
Any time there's an angle larger than 90, the triangle will be obtuse. If there's one angle exactly 90, then it's a right triangle. Otherwise, the triangle is acute (when all angles are smaller than 90).
How I know?
Well, the triangle is more than 90 degrees, making it obtuse. If it was 90 degrees, it’d be considered a right angle. And if it’s less than 90 degrees, it’s acute.
Area of a circle (PLEASE HELP ME)
Answers
HELP , BRAINLIEST IF CORRECT, rewrite each equation without absolute value for the given conditions: y=|x-3|+|x+2|-|x-5| if 3
Answers
Which statements are true?
Select each correct answer.
All triangles have 3 angles.
All triangles are plane figures.
All triangles have one right angle.
All triangles have 3 straight sides.
Only some triangles are polygons.
Answers
Answer:
1
Step-by-step explanation:
I think triangle has only 3 angles because otherwise it will turn the next shale and it will be like square or i dont know. Good luck :)
All triangles are plane figures
All triangles have one right side
HURRY PLEASE! I WIL GIVE BRAINLIEST AND POINTS
Answers
Answer: The answer will be B
PLEASE HELPP!!!!!! DUE DATE IS 12!
Answers
Answer:
C. 17
Step-by-step explanation:
The quartile is 25 and the only number less thank 25 in the given answers is 17.
Hope this helps :)
Ok offering 100 points and brainlist so lets answer TacticalMathNuke's question correctly and explain to help him/her
Answers
Answer: 162,720
Step-by-step explanation: Easey multiply 452 by 360 which equals 162,720. you can check your work by dividing 162,720 by 452 which equals 360
MARK BRAINLIEST PLS
Select True or False for each statement.
Answers
Answer:
1. true
2. true
3. false
Step-by-step explanation:
Could someone help, end of grading period is tomorrow
Answers
Answer:
use a ruler and see if the centimetres line up with the side lengths in inches works for me
Triangle ABC has vertices A(1,6), B(3,2), and C(4,7). The triangle is translated using the rule (x,y) →(x−2,y+1) and then the result is translated using the rule (x,y)→(x+3,y−2). What are the coordinates of the final image A''B''C''?
Answers
Answer: 5,3
Step-by-step explanation:
find the perimeter of this figure
possible answers:
a) 59in.
b) 51 in.
c) 55in.
d) 65in.
Answers
Answer is 55 inch
Perimeter means add all the sides together
The Smith family has a circular shaped pool with a radius of 10 feet. What is the minimum amount of material needed to make a cover for the surface of the pool?
62.8 sq. feet
314 sq. feet
31.4 sq. feet
100 sq. feet
Answers
Answer:
314 sq. feet
Step-by-step explanation:
The surface area of the pool would be the area in math. The equation for solving the area of a circle goes as follows:
A=πr^2
π·10^2
314
Answer:
A
Step-by-step explanation:
A circular shaped pool.
The radius is 10 feet.
We need to find the surface area to make a cover for the pool.
We can use the formula for the area of a circle:
A = [tex]\pi[/tex]r²
A = (3.14)(10)(2)
A = (31.4)(2)
A = 62.8
The minimum amount of material needed to make a cover is 62.8 square feet.
hope this helps :)
Leah has 2/5 of a gallon of paint. She decides to use 1/4 of this paint to paint a door. What fraction of a gallon of paint does she use for the door? Explain your answer.
Answers
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
1/4 of 2/5 = 1/4 * 2/5
= [tex]\frac{2}{20}[/tex]
[tex]\frac{2}{20}[/tex] could be simplified into [tex]\frac{1}{10}[/tex]
d. PLEASE HURRY- GICING BRAINLIEST TO FIRST .CORRECT. ANSWER
Answers
Answer:
a) 10
Step-by-step explanation:
The formula for volume in a rectangular prism is V = l x w x h
Plug in the numbers to solve the unknown length.
240 = l x 4 x 6
240 = 24l
l = 10
[MA}:
10
The explanation:
Length: 4
Height: 6
Missing: h
15 x 4 x 6 = 360
13 x 4 x 6 = 312
12 x 4 x 6 = 288
10 x 4 x 6 = 240
Multiply.
V = L x W x H
L x 4 x 6
240 - 24l
L = 10
10 x 4 x 6 = 240
Writer's note: I'm really sorry if this is incorrect.
[xArtsy}
50 points for whoever answers the right answer
Answers
Answer:
128
Step-by-step explanation:
Supplementary means they sum to 180, and it's also a straight line. 180-49 = 131. 131-3 = 128, or x.