a random sample of 21 students from the U and at A&T were surveyed about their music listening habits. Their responses (in hours, each square represents 0.5 hour) were recorded and displayed using the following histograms. The left represents U. The right represents SHSAT. Which data set(U or SHSAT students) has a larger standard deviation? Explain.
Answers
Answer: U
Step-by-step explanation:
Looking at the graphs, U is skewed right and SHSAT is more of a normal distribution. Generally, this means the standard deviation would be greater for the data set that is skewed.
Let's find the standard deviation for each data set to confirm our theory.
Step 1) Find the mean number of hours
Step 2) Subtract each data value from the mean
Step 3) Find the mean of Step 2
U
hours x frequency: 1(3) + 2(5) + 3(4) + 4(3) + 5(3) + 6(2) + 9(1) = 72
Step 1: mean = (hours x frequency)/frequency = 72/21 = 3.4
Step 2: 2.4(3) + 1.4(5) + 0.4(4) + 0.6(3) + 1.6(3) + 2.6(2) + 5.6(1) = 33.2
Step 3: standard deviation = (sum from step 2)/ frequency = 33.2/21 = 1.58
SHSAT
hours x frequency: 1(1) + 2(3) + 3(4) + 4(5) + 5(3) + 6(3) + 7(2) = 86
Step 1: mean = (hours x frequency)/frequency = 86/21 = 4.1
Step 2: 3.1(1) + 2.1(3) + 1.1(4) + 0.1(5) +0.95(3) + 1.9(3) + 2.9(2) = 28.5
Step 3: standard deviation = (sum from step 2)/ frequency = 28.5/21 = 1.36
The calculations confirm that U has the greater standard deviation
Related Questions
How do you do this question?
Answers
Answer:
-3/16
Step-by-step explanation:
x = 6 + t²
y = t² + t³
dx/dt = 2t
dy/dt = 2t + 3t²
dy/dx = (2t + 3t²) / 2t
dy/dx = 1 + 1.5t
d²y/dx² = d(dy/dx)/dt / (dx/dt)
d²y/dx² = (1.5) / (2t)
d²y/dx² = 3 / (4t)
At t = -4:
d²y/dx² = 3 / (4 × -4)
d²y/dx² = -3/16
The percentage of cotton in material used to manufacture men's shirts follows.
a. Construct a stem-and-leaf display for the data.
b. Calculate the median and quartiles of these data.
33.2 37.8 34.6 33.0 32.8 36.1 34.3 35.5 32.9 36.6 34.1 33.0 33.2 36.4 32.5
34.7 34.7 37.6 33.6 33.5 33.9 37.4 32.8 34.0 35.1 32.1 35.6 37.4 35.1 35.0
32.1 32.8 36.7 34.6 37.1 34.6 33.8 37.0 34.5 35.5 33.2 36.3 36.4 32.5 35.2
32.0 35.5 36.7 34.1 33.8 36.5 32.8 35.5 32.4 36.4 34.0 32.2 35.6 32.5 34.4
32.9 35.0 35.4 33.2
Answers
Answer:
Median = 34.55
Quartiles:
Q1 = 33.1
Q2 = 34.55
Q3 = 35.6
Inter Quartile range = 2.5
Step-by-step explanation:
Step 1
We arrange the given the following data from lowest to the highest
32.0, 32.1, 32.1, 32.2, 32.4, 32.5, 32.5, 32.5, 32.8, 32.8, 32.8, 32.8, 32.9, 32.9, 33.0, 33.0, 33.2, 33.2, 33.2, 33.2, 33.5, 33.6, 33.8, 33.8, 33.9, 34.0, 34.0, 34.1, 34.1, 34.3, 34.4, 34.5, 34.6, 34.6, 34.6, 34.7, 34.7, 35.0, 35.0, 35.1, 35.1, 35.2, 35.4, 35.5, 35.5, 35.5, 35.5, 35.6, 35.6, 36.1, 36.3, 36.4, 36.4, 36.4, 36.5, 36.6, 36.7, 36.7, 37.0, 37.1, 37.4, 37.4, 37.6, 37.8
a. Construct a stem-and-leaf display for the data.
Stem and leaf Display
Stem | Leaf
32 | 0,1,1,2,4,5,5,5,8,8,8,8,9,9
33 | 0,0,2,2,2,2,5,6,8,8,9
34 | 0,0,1,1,3,4,5,6,6,6,7,7
35 | 0,0,1,1,2,4,5,5,5,5,6,6,
36 | 1,3,4,4,4,5,6,7,7,
37 | 0,1,4,4,6,8
b. Calculate the median and quartiles of these data.
Number of terms = 64
1) Median = 1/2(n + 1)th value
n = 64
= 1/2(64 + 1)th
= 1/2(65)th
= 32.5 th value
This means it is between the 32nd and 33rd value
32nd = 34.5
33rd = 34.6
= 34.5 + 34.6/2
= 69.1/2
= 34.55
2) First Quartile
1/4(n + 1)th value
n = 64
= 1/4(64 + 1)th
= 1/4(65)th
= 16.5th value
This means it is between the 16th and 17th value
16th value = 33.0
17tj value = 33.2
= 33.0 + 33.2/2
= 66.2/2
= 34.55
Q1 --> 33.1
3)Second Quartile = Median
1/2(n + 1)th value
n = 64
= 1/2(64 + 1)th
= 1/2(65)th
= 32.5 th value
This means it is between the 32nd and 33rd value
32nd = 34.5
33rd = 34.6
= 34.5 + 34.6/2
= 69.1/2
= 34.55
Q2 --> 34.55
Third Quartile
3/4(n + 1)th value
n = 64
= 3/4(64 + 1)th
= 3/4(65)th
= 48.75 th value
This means it is towards the 49th value
32nd = 34.5
Hence,
Q3 --> 35.6
Inter Quartile range
Q3 - Q1
= 35.6 - 33.1
= 2.5
make x the subject
m= n+x/p
Answers
m = n+ x/p
m (*p) = n (*p) + x/p (*p)
mp = np + x
x= mp - np
x= p ( m - n)
What are the roots of f(x)=(x-6)^2(x+2)^2
Answers
f(x)=0
⇒(x−6)^2. (x+2) ^2 =0
⇒(x−6)^2=0, (x+2)^2=0
⇒x=6,6 ⇒x=−2,−2.
NEED DONE ASAP 20 PTS!!!!!!
x(x-4)=7
AND
x^2+2x+2=0
solve these two problems by completing the square and show all work please!
Answers
2x-8=7
2x=15
x=15/2
x=7.5
x^2+2x+2=0
cannot be factored
Point A is at (-6, 5) and point B is at (3, -7). What is the midpoint of line segment AB?
Answers
log 3x+log 4x = log 192
Answers
First, remember that:
log
a
(
b
⋅
c
)
=
log
a
(
b
)
+
log
a
(
c
)
Therefore, we can say that:
log
(
4
x
)
+
log
(
3
x
+
1
)
=
log
(
4
x
⋅
(
3
x
+
1
)
)
⇒
log
(
12
x
2
+
4
x
)
We now rewrite the equation:
log
(
12
x
2
+
4
x
)
=
3
Now remember that:
log
(
b
)
=
log
10
(
b
)
And that if
log
a
(
b
)
=
c
, then
b
=
a
c
Therefore, we can now simplify the equation.
log
(
12
x
2
+
4
x
)
=
3
=>
log
10
(
12
x
2
+
4
x
)
=
3
=>
(
12
x
2
+
4
x
)
=
10
3
=>
12
x
2
+
4
x
=
1000
=>
12
x
2
+
4
x
−
1000
=
0
Let's use the quadratic formula
−
b
±
√
b
2
−
4
(
a
)
(
c
)
2
(
a
)
We now know that:
x
=
−
4
±
√
4
2
−
4
(
12
)
(
−
1000
)
2
(
12
)
We can now solve for
x
.
=>
x
=
−
4
±
√
48016
24
=>
x
=
−
4
±
4
√
3001
24
=>
x
=
−
1
±
√
3001
6
=>
x
≈
8.964
,
9.197
Now, we see that when
x
<
0
, whatever solution we have will be extraneous.
Therefore,
x
≈
8.964
What fraction is equivalent to 2 over -6
Answers
Divide the denominator 6 and the numerator 2 to get 1/3.
You are building a rectangular flowerbed for your back yard. The flowerbed will surround the flowers and sit on the ground. The
ground where you want to plant the flowers is 4 ft. by 7 ft. How many feet of boards will you need to build the flowerbed? Your
answer should be a number only.
Answers
Given parameters:
Dimension of the flowerbed = 4ft by 7ft
Unknown:
Number of feet to build the flowerbed = ?
Since the flowerbed will be surrounding the flows, we should simply find the perimeter of the bed.
This is a rectangular area;
Perimeter = 2(L + B)
Input the parameters and solve;
Perimeter = 2 (4 + 7)
Perimeter = 2 x 11 = 22cm
The perimeter of the board is 22cm
How do you convert 2.25 • 10^6 into standard form?
Answers
Answer:
2,250,000
Step-by-step explanation:
PLEASE HELP ME!!!!!!!! I NEED THE MATH TOO!!!!
If it takes 15 seconds to earn 10,000 points, how long (in seconds) will it take to earn 5 million points?
Answers
Answer:
7500
Step-by-step explanation:
5,000,000÷10,000=500
500×15=7500
Answer:
7,500 seconds
Step-by-step explanation:
First you must find how many 10,000 points are in 5 million:
5,000,000 ÷ 10,000 = 500
Then, multiply that number by 15 seconds. To find how long it will take. And that will give you the answer:
500 x 15 = 7,500 seconds
Hope this helps you out! : )
Which equation uses the Pythagorean Theorem to determine whether the side lengths 12, 24, and 26 form a right triangle?
12^2 + 26^2 ≠ 24^2
12^2 – 24^2 ≠ 26^2
12^2 + 24^2 ≠ 26^2
24^2 – 12^2 ≠ 26^2
Please and thank you!!!!!! <3
Answers
Answer:
C
Step-by-step explanation:
12²+24²=144+576=720≠26²(676)
NEED HELP ASAP
For each equation, determine whether the equation is true for all, some, or no values of x. Explain how you know.
a 3x = x + 8
b. 5x = x + x + x + x + x
c. 2 ( x + 5 ) = 2x + 5
Answers
Answer:
a.) not true
b.) true
c.) true
Step-by-step explanation:
Shaun is out shopping and finds a television originally
valued at $76.00. It is now on sale for 50% of the
original price.
What is the new cost of the item?
Answers
50% is half of the total amount.
The total amount is 76.00.
Half of 76.00 is 38.00.
$38.00 is the new cost
Use the figure to find the angle measures.
Answers
Solve for x.
x/7 + 9 = 15
X= 84
x = 42
x = 168
x=24
Answers
X/7=6
Answer
X=42
multiply using the distributice property 4x8
Answers
Order these numbers from least to greatest.
Answers
Answer: 7.1061 < 7.509 < 7.56 < 7.6
Step-by-step explanation: Brainlest please
Answer:
7.1061, 7.509, 7.56, 7.6
Step-by-step explanation:
7.1 is the least number then 7.5 is the next greatest number then 7.56 is the next greatest number, and then 7.6 is the greatest number.
List the values of A, B, and C. 5x+3y=-8
Answers
Answer:
My buns
Step-by-step explanation:
Answer:
Step-by-step explanation:
SO, THE EQUATION WILL BE :
5x -3y=-3
5x-3y+3 =0
a =5 , b=-3 ,c =3
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>CLICK ON ME MATH GENIUSES WHO ARE NOT GOOD AT ESSAYS<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
YOURREWARD- 11 POITNS 1 ESSAY AND 4 MEMES FOR EACH QUESTION ANSWERED
.
.
.
2. Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x+9) ?
A The graph of g(x) is the graph of f(x) translated 9 units right.
B The graph of g(x) is the graph of f(x) translated 9 units left.
C The graph of g(x) is the graph of f(x) vertically stretched by a factor of 9.
D The graph of g(x) is the graph of f(x) vertically compressed by a factor of 9.
.
.
3. The linear parent function, f(x)=x ,was transformed to create a graph g(x) =f(x)−1.
Which statement about the graphs is true?
A The graph of f is shifted 1 unit to the left to create the graph of g.
B The graph of f is shifted 1 unit down to create the graph of g.
C The graph of f is reflected over the x-axis to create the graph of g.
D The graph of f is reflected over the y-axis to create the graph of g
.
.
3. The graph of function g(x) is a vertical stretch of the graph of function f(x)=x by a factor of 2.
Which equation describes function g(x)?
A g(x)=f(x)−2
B g(x)=12f(x)
C g(x)=2f(x)
D g(x)=f(x)+2
.
.
4. The function f(x)=x was transformed to create a graph g(x)=f(x−3)+1.
Which statement describes how the graphs of f and g are related?
A The graph of f is shifted to the right 3 units and down 1 unit to create the graph of g.
B The graph of f is shifted to the right 3 units and up 1 unit to create the graph of g.
C The graph of f is shifted to the left 3 units and up 1 unit to create the graph of g.
D The graph of f is shifted to the left 3 units and down 1 unit to create the graph of g.
Answers
(x-1) would be the opposite on the x axis so it will be 1 to the right.
if it is (x)-1 it is accurate to the horizontal change so it is 1 down
Answer:
It is B, B, C, B
(x-1) would be the opposite on the x axis so it will be 1 to the right.
If it is (x)-1 is accurate to the horizontal change so it is 1 down.
Step-by-step explanation:
What is this angle?
Answers
Answer:
The type of angle is same-side interior angles
Answer:
its hard hayst sorry -,-
Which shows the expression below simplified?
0.42 + (3.5 × 10-2)
Answers
Answer: 33.42
Step-by-step explanation: 0.42 + (35 - 2) —> 0.42 + 33 = 33.42
Answer:
Step-by-step explanation:
50
steven swam 4 6/7 meters crossing lady jay creek. write the distance he swam as a mixed number
Answers
Answer:
34/7
Step-by-step explanation:
-3 (-2/5) pls help me .
Answers
Answer: 1.2
Step-by-step explanation:
Answer:
1.2
Step-by-step explanation:
First, you have to figure out -2/5 because it's in parentheses.
-2/5 = -0.4
Then, multiply -3.
-0.4 x -3 = 1.2
Hope this helped...have a great day c:
Find the intersection of the three sets: A = {–2, 7, 8, 9}, B = {–2, 5, 9}, C = {–2, 5, 9}.
A {–2, 5, 7, 8, 9}
B null set
C {–2, 5, 8, 9}
D {–2, 9}
Answers
- 3/4+2 3/4 what is the answer
Answers
Answer:
its 2 the negative cancles out
Step-by-step explanation:
b) Eric removed 24 fish from his pond over a period of 3 days. He removed the same number of fish each day. What was the change in the number of fish in the pond each day?
Answers
Answer:
8
Step-by-step explanation:
24 divided by 3 equals 8.
The function h(x) = 8x^3 + 7x^5 - x is:
Answers
Answer:
x 3 ⋅(7x 2+8)
Step-by-step explanation:
(8 • (x3)) + 7x5
23x3 + 7x5
Pull out like factors :
7x5 + 8x3 = x3 • (7x2 + 8)
Find roots (zeroes) of : F(x) = 7x2 + 8
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 7 and the Trailing Constant is 8.
The factor(s) are:
of the Leading Coefficient : 1,7
of the Trailing Constant : 1 ,2 ,4 ,8
P Q P/Q F(P/Q) Diviso
-1 1 -1.00 15.00
-1 7 -0.14 8.14
-2 1 -2.00 36.00
-2 7 -0.29 8.57
-4 1 -4.00 120.00
-4 7 -0.57 10.29
-8 1 -8.00 456.00
-8 7 -1.14 17.14
1 1 1.00 15.00
1 7 0.14 8.14
2 1 2.00 36.00
2 7 0.29 8.57
4 1 4.00 120.00
4 7 0.57 10.29
8 1 8.00 456.00
8 7 1.14 17.14
Polynomial Roots Calculator found no rational roots
the sum of two numbers is 16 and their difference is 4. what are the two numbers? HELP! PLEASE! BRAINLIEST TO WHOEVER ANSWERS IN THE NEXT 2 MINUTES!
Answers
Answer 6 and 10
Step-by-step explanation:
Answer:
10+6 and 10-6
Step-by-step explanation:
10+6
16
10-6
4
Solve for x this will really help me i been stuck on this question
Answers
Answer:
the answer is 52.
Step-by-step explanation:
because of the locations of the two angles, it can be concluded that 156=3x.
now you have an equation.
solve for x.
[tex]156=3x\\156/3= x\\52=x[/tex]
hope this helps ;)