Jim Thompson HW may 19

Problem 1

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Explanation:

It doesn't matter if the distribution is symmetric or not. The standard deviation is not affected by symmetry (or lack thereof). Instead, the standard deviation measures how spread out a data set is. If we had all points stacked on top of each other, forming a single tower of sorts, then the standard deviation would be zero. That doesn't happen with the Christchurch dot plot. Therefore, the standard deviation is some positive value. The more spread out the data is, the larger the standard deviation will be. The standard deviation is never negative.

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Problem 2

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Explanation:

We have these two sets of data

S = {-1, 0,0,0,1,2,3,3,3,3,3,5,6,6,6,6,6,7,8}

C = {-4,-3,-3,-3,-2,-1,0,0,0,0,0,2,3,3,3,3,3,4,5}

where S and C represent St. Louis and Chicago respectively. We could calculate the standard deviation by hand; however, I find that to be tedious busy work. This is especially true if the data set is quite large. Instead, I recommend using a spreadsheet or calculator to compute the standard deviation. We want the sample standard deviation, since these data points are a representative sample of every day of the year.

You should find that the sample standard deviation of set S is roughly 2.716 while the sample standard deviation of set C is roughly 2.716

Therefore, the two standard deviations are equal.

Note that if we were to shift each dot of dot plot C exactly 3 units to the left, then they will line up perfectly with what dot plot S is showing. This shows that the data sets have the same level of spread.

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Problem 3

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Explanation:

We could use a calculator like we did with problem 2. Simply enter the data values and crunch the numbers. However, I'll go with a visual approach.

Focus on the lower two dotplots. After looking closely at both, you should notice that they are almost identical graphs. The only difference is that the dot at "5" for Chicago has been moved to "8" for London. Every other dot is the same between data sets however.

So because that dot has been moved out further from the group, the data set for London is more spread out. Therefore, the standard deviation is higher here. The statement that Chicago has a lower standard deviation is true.

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Problem 4

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Explanation:

Make a spreadsheet as you see in the diagram labeled "problem 4" (see attached image below). The x values are the midpoints of each interval. The column f represents the frequencies. We multiply the x values and frequencies to get the x*f column. Adding up everything in that column gets us the value 4590 (shown in gray). Divide that over n = 100 to get the sample mean xbar = 45.9

The f*(x-xbar)^2 column consists of multiplying each frequency (f) with the expression (x-xbar)^2. Adding up everything in that column leads to the value shown in yellow. Divide that over n-1 = 99 to get 50.9495 approximately. Then apply the square root to get roughly 7.1379 which is the standard deviation.

To recap, we found these values

So the mean salary is $45,900 and standard deviation is about $7,138. While these values don't perfectly match any of the given choices, we're fairly close to "social sciences", which is likely the answer.

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Problem 5

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Explanation:

We use the same format and steps as problem 4. The difference of course is that we're dealing with a different data distribution. Refer to the table that says "problem 5" to see the spreadsheet.

The value in gray represents the sum of the x*f values. Divide that over n = 100 to get 5220/100 = 52.2

The value in yellow represents summing everything in the f*(x-xbar)^2 column (we don't sum in the yellow value itself or we'll have circular logic going on here). Divide that result in yellow over n-1 = 99 to get roughly 293.3434; then apply the square root to get roughly 17.1273 and this is the sample standard deviation.

To summarize so far, we have:

This then corresponds to

Like before, those last two values don't match up perfectly with any of the three given professions; however, we're fairly close to the mean and standard deviation of the business majors. This is likely the answer.

What the approximate volume of the cylinder below in cubic centimeters

Please help math problem

Anybody know how to read those scales with a top and bottom line with a ruler at the bottom?


can u tell me how lol

4. Which of the following describes a proportional relationship?
F. Drew paid $2.86 per pound of apples plus $0.10 for a grocery bag.
G. Heather rented a hotel for $110 a night plus $18 a night for valet parking.
H. Carlos bought tires for $250 each with a discount of $50 off his total purchase.
J. Manuel bought three pairs of shoes for $99 each plus a shipping fee of $6.

A piece of cloth is 6 1/4 meters long. If the cloth is cut into 1/2 meter long pieces, how many pieces can be made?

You are attending a college night. There is a different school in each classroom. Of the schools in attendance 30% had a sports program you are interested in, 40% have an academic program you are interested in and 60% have either a sports or academic program you are interested in. If you walk into a room at random, what is the probability that the school has both a sports and academic program you are interested in?
a. 0.]20
b. 0.10
c. 0.70
d. 0.30
(NO LINKS! I WILL GIVE BRAINLIEST TO ANSWER!)

who wants free p01nt$?

5x+1/4=15 1/4 what is the value of x

Find the value of v in the figure below.

solve the simultaneous equations

5x-4y=13

x+2y=8

if the area of a rectangle is 42 what is the perimeter?

ssdfdsiufhdsifhdsjfdsi?

2.
Which of the following is an example of a negative
correlation?
A. the amount of studying for a test vs. the
resulting test scores
B. air temperature and the number of people at a
swimming pool
C. a person's arm length compared to his or her
waist size
D. the number of people eating a pizza and the
number of slices per person

11. Twelve contestants are competing to be 15.
on American Idol. The judges will keep either way
three or four of the contestants. How many
more groups would be formed if the judges
pick four instead of three?
A) 275
B) 715
C) 792
D) 10,560

can someone help me pls

does anyone know how to do this ??

Giving 50 points to anyone who can answer this!! TechWiz Electronics makes a profit of $35 for each MP3 player sold and $18 for each DVD player sold. Last week, TechWiz sold a combined total of 125 MP3 and DVD players. Let x be the number of MP3 players TechWiz sold last week. Write an expression for the combined total profit (in dollars) TechWiz made from MP3 and DVD players last week.

Find the
area of the triangle below.

Suppose a and b are independent events. If l(a) =0.8 and p(b) =0.85 what is p(a and b)

20 POINTS!!!!
Jacob deposits $60 into an investment account with an interest rate of 4%, compounded annually. The equation,
y = 60(1 + 0.04)x, can be used to determine the number of years, x, it takes for Jacob's balance to reach a certain amount of money, y. Jacob graphs the relationship between time and money.

1. What is the y-intercept of Jacob's graph?
2. If Jacob doesn't deposit any additional money into the account, how much money will he have in eight years? Round your answer to the nearest cent.

At a basketball game, a team made 55 successful shots. They were a combination of 1- and 2-point
shots. The team scored 94 points in all. Write and solve a system of equations to find the number of
each type of shot.
There were 37 2-point shots and 18 1-point shots.

What's the answer to this problem?

PLEASE HELPP

Find the volume of the wooden chest below to the nearest whole number.
6 CML
12 cm
10 CIEL

Helppp please please

Find the value of x explain how you got your answer ​

Six people share 3/4 pound of raisins equally. how many pounds of raisins did each person receive​

how do i solve a division problem

T took Anthony's family 5 hours and 10 minutes to drive the 296 miles between Chicago and St. Louis. What was their average speed, in miles per hour?

Which equation describes the
relationship shown in the table?

A.f(d)=d-6
B.f(d)=d-6
C.f(d)
D.f(d)-60

Damon buysabaseballhelmetonlinefor$16.Ifshippingandhandlingareanadditional20%oftheprice,howmuchshippingandhandlingwillDamonpay?