Given:
The data set is:
14, 15, 3, 15, 14, 14, 18, 15, 8, 16
To find:
The mean, median and mode of the given data set.
Solution:
We have,
14, 15, 3, 15, 14, 14, 18, 15, 8, 16
Arrange the data values in ascending order.
3, 8, 14, 14, 14, 15, 15, 15, 16, 18
Mean of the data set is:
[tex]Mean=\dfrac{\text{Sum of all observations}}{\text{Number of observation}}[/tex]
[tex]Mean=\dfrac{3+8+14+14+14+15+15+15+16+18}{10}[/tex]
[tex]Mean=\dfrac{132}{10}[/tex]
[tex]Mean=13.2[/tex]
The number of observation is 10 which is an even number. So, the median of the data set is:
[tex]Median=\dfrac{(\dfrac{n}{2})\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2}[/tex]
[tex]Median=\dfrac{(\dfrac{10}{2})\text{th term}+(\dfrac{10}{2}+1)\text{th term}}{2}[/tex]
[tex]Median=\dfrac{5\text{th term}+6\text{th term}}{2}[/tex]
[tex]Median=\dfrac{14+15}{2}[/tex]
[tex]Median=\dfrac{29}{2}[/tex]
[tex]Median=14.5[/tex]
Mode is the most frequent value of the data set.
In the given data set the highest frequency is 3 because 14 and 15 occurs three times.
So, the mode of the given data set is 14 and`15.
Therefore, the mean is 13.2, median is 14.5 and mode is 14 and 15.
A rectangle has a length of 3x^2y^3 inches and width of 4x^2y^3 inches . which expression represents the perimeter in inches of rectangle?
Answer:
44x²y³
Step-by-step explanation:
don't see options for answers but the perimeter would be:
2(3x²y³) + 2(4x²·2y³)
= 6x²·2y³ + 8x²·4y³
= 12x²y³ + 32x²y³
= 44x²y³
Is this a true statement?8 + y = 10, y = 5
Answer:
No it is not
Step-by-step explanation:
8 + 5 = 13 or 10
(Just substitute values)
Have a great day.
Help please it would mean a lot! Thank youuu
Answer:
C
Step-by-step explanation:
By my math that should is definitely correct. your welcome
Using complete sentences, describe the error in the steps used to solve the equation. There will be no problems that don’t have an error.
“The error was made when.....”
On Sunday, a cafe sold 49 cartons of milk. The ratio of cartons of chocolate milk sold to the total number of cartons of milk sold was 2:7. How many cartons of chocolate milk did the cafe sell on Sunday?
Answer:
14
Step-by-step explanation:
49÷7=7
7×2=14
have a good day!
35.487 multiply by 10 to the forth power is?
Answer:
354870
Step-by-step explanation:
35.487 × [tex]10^{4}[/tex]
35.487 × 10000
354870
pls help me due today, i will give brainliest !!!
Answer:
c=38
Step-by-step explanation:
Substitute 6 for r and -2 for t in the formula given
c=rt^(2)-3t+8
c=6*(-2)^2-3*(-2)+8
c=6*4-3*-2+8
c=24+6+8
Mary received an $80 gift card for a coffee store. She used it in buying some coffee that cost $8.21 per pound. After buying the coffee she had $30.74 left on her card. How many pounds of coffee did she buy?
Is this a polygon or trapezoid?
Answer:
No
Step-by-step explanation:
this is my opinion so No
Find the volume of this right rectangular
prism.
3 in
9 in
. 3 in
[ ? ]in3
Answer 8.1
Step-by-step explanation:
3 x 9 x 0.3 = 8.1
Write the positive or negative integer that this situation represents.
Lucy made a $12 profit.
Answer:
12
Step-by-step explanation:
A profit, or money you have, or money you deposit in a bank account is usually positive.
A debt, or money you withdraw from a bank account, or money you give away is usually negative.
Answer: 12
What is the next step
Answer:
ABC = 50 degree.
Step-by-step explanation:
You add the bisect angles together to get the whole angle (ABC)
(8x - 7)+(6x+1)
(8(4)-7)+(6(4)+1)
(32-7)+(24+1)
25+25 = 50
What is the mean? (I don’t pay attention in class).
Scientists calculate that the average temperature of the earth is increasing at a rate of 0.12 degrees a year. This situation can be modeled by what type of function?
Answer:
Step-by-step explanation:
Linear Function
pleaseeeee helppppp!!!
Answer:
The answer should be 18.
y (y+2)+1(y+2) simplify the product
Answer:
[tex]y (y+2)+1(y+2)[/tex]
[tex](y +1)(y+2) = 0[/tex]
The phrase "miles per hour" is an example of a rate of change. What other commonly used rates of change can you think of in everyday speech?
I NEED SOMETHING DIFFERENT THAN SPEED PLEASE
Maybe fast or quick?
function h describes the height of a ball, in inches, after n bounces and is defined by the equation h(n)=120 x (4/5)^n.
What is h(3) ?
What does h(3) represent in this situation?
Answer:
Step-by-step explanation:
h(3) = 120*(4/5)^3, which evaluates to 120(64/125), or 61.64.
What does this mean: After 3 bounces the height of the ball is 61.64 ft.
pls help!!! i don’t understand how to solve this
Answer:
Average velocity = 1
Step-by-step explanation:
f(3) = 3² - 3(3) + 4 = 4
f(1) = 1² - 3(1) + 4 = 2
[tex]Velocity = \frac{f(3) - f(1)}{3-1} =\frac{4-2}{3-1} =\frac{2}{2} =1[/tex]
will give brainliest to the correct answer (nor links or account will be reported) :)
Answer:
38, 26
Step-by-step explanation:
(x+78) + (x-12) +x = 180
3x + 66 =180
3x = 114
x = 38
P = 38-12=26
What is the slope of the line shown?
On a coordinate plane, a line goes through (0, negative 3) and (6, 0).
Answer:
1/2
Step-by-step explanation:
Cheryl is making a mixed fruit drink for a party. She mixes 8 pints each of apple juice and cranberry juice.
How many fluid ounces of mixed fruit drink does Cheryl make?
Cheryl makes
fluid ounces of mixed fruit drink.
Answer:
256 fluid onces
Step-by-step explanation:
Hope this helps!!!
7=x + 2x - 5 - 58
Show work please
Answer:
x= 23.33
Step-by-step explanation:
7=x+2x-5-58
combine like terms
7=3x-63
add 63 to both sides
70=3x
divide by 3
x=23.33
Find the mean and median of the data. 8 1/2,6 5/8,3 1/8,5 3/4,6 5/8,5 1/4,10 5/8,4 1/2 The mean is . The median is .
Answer:
Median = 6.1875
Mean = 6.375
Step-by-step explanation:
Given the data:
8 1/2,6 5/8,3 1/8,5 3/4,6 5/8,5 1/4,10 5/8,4 1/2
Arranging in ascending order :
3 1/8, 4 1/2, 5 1/4, 5 3/4, 6 5/8, 6 5/8, 8 1/2, 10 5/8
Median = 1/2(n + 1)th term
n = 8
1/2 (9) th term
= 4.5th term
(5 3/4 + 6 5/8) / 2
= 6.1875
Mean = Σx / n
Mean = 51 / 8
Mean = 6.375
Hunter is making $46,500 per year and gets a 5.5%
increase in pay. Determine how much money
Munter makes after his increase and show your
work
Answer:
$49,057.50
Step-by-step explanation:
To find how much a percent is of a number you multiply that number and that percent then add the two
SO.... 46,500x5.5% is 2557.50 and then you add the 2 so 46,500 + 2557.50= 49,057.50 hope this helps
a-7=3 (b+2)
a=?
Please don't attach a link with the answer write you answer out please
Answer:a=3
Step-by-step explanation:
Answer:
a = 3b + 13
Step-by-step explanation:
a - 7 = 3 (b+2)
a - 7 = 3b + 6
a = 3b + 13
Find the distance between the points (1,3) and (9,9).
Answer:
Step-by-step explanation:
14
help I dont get it and im stuck
Answer:
B) 20
Step-by-step explanation:
Don't think to hard about the answer, all the numbers and text can be distracting.
Look at only the length of both Rachel 12 and Amos 16
Now use the Pythagorean theorem to find the unknown side in this right triangle.
[tex]a^{2} +b^{2} =c^{2} \\12^{2} +16^{2} =c^{2}[/tex]
Answer:
20 km
Step-by-step explanation:
I used the Pothagarim Theorom.
First, Multiply 12 by 12 to get 144Then, multiply 16 by 16 to get 256.Next, add 144 to 256 to get 400.Find the square root of 400 and get 20.20 km would be your final answerHope this Helps!
-kiniwih426
Btw, pls brainliest(if possible)
The cost of 3 loaves of bread and 3 gallons of milk is $19.35. The cost of 4
loaves of bread and 2 gallons of milk is $17.90. How much does one loaf
of bread cost?
Answer:
bread $2.5 milk $3.95
Step-by-step explanation:
b=bread m= milk
3b +3m = 19.35
4b+2m= 17.90
Multiply the first by (-2)
Multiply the second by 3
Then add both
-6b -6m = -38.7
12b+6m=53.7
(when you add both 6m is cancelled)
6b = 15
b= 2.5 (BREAD $2.5)
4(2.5) = 10
10+ 2m = 17.90
2m = 7.90
m= 3.95 (MILK $3.95)
Please i need asp this is me ether failing or passing math!!!
Answer:
Step-by-step explanation: