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Masja [62]
2 years ago
5

(08.03)jasper is using the following data samples to make a claim about the house values in his neighborhood: house value a $150

,000 b $175,000 c $200,000 d $167,000 e $2,500,000 based on the data, should jasper use the mean or the median to make an inference about the house values in his neighborhood? he should use the mean because it is in the center of the data. he should use the median because it is in the center of the data. he should use the median because there is an outlier that affects the mean. he should use the mean because there are no outliers that affect the mean. points earned on this question: 0 question 2 (worth 10 points) (08.03)magdeline wants to know if the number of words on a page in her art book is generally more than the number of words on a page in her science book. she takes a random sample of 25 pages in each book and then calculates the mean, median, and mean absolute deviation for the 25 samples of each book. book mean median mean absolute deviation art 68.7 50 15.4 science 54.2 55 7.9 she claims that because the mean number of words on each page in the art book is greater than the mean number of words on each page in the science book, the art book has more words per page. based on the data, is this a valid inference? yes, because the mean is larger in the art book no, because the mean is larger in the art book yes, because there is a lot of variability in the art book data no, because there is a lot of variability in the art book data
Mathematics
1 answer:
ipn [44]2 years ago
7 0

Part A) Jasper should use the median because there is an outlier that affects the mean is the correct answer.

Part B) Option (D) no, because there is a lot of variability in the art book data is the correct answer.

In this question,

Part A)

The median is the middle number in a sorted, ascending or descending list of numbers and can be more descriptive of that data set than the average. The numbers are ordered in ascending order. Once the numbers are ordered, the middle number is called the median of the given data set.

The median is important because it gives us an idea of where the center value is located in a dataset. The median is the most informative measure of central tendency for skewed distributions or distributions with outliers.

The house values in Jasper's neighborhood,

a) $150,000, b) $175,000, c) $200,000 ,d) $167,000, e) $2,500,000

The value of house E is very high from other houses in Jasper's neighborhood. The value of house E will make the mean house value above the center of the data as House E is an outlier for our given data.

Thus the median of a data set with an outlier is not affected by the value of outlier. Therefore, Jasper should use the median because there is an outlier that affects the mean is the correct answer.

Part B)

The mean absolute deviation of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset. The mean absolute deviation is specially important in data analysis where the average value can be deceptive.

A small mean absolute deviation tells us that most of the data values are very close to the mean. A high mean absolute deviation tells us that many of the data values are spread out further from the mean.

Magdeline selects 25 pages from each book, then Calculates Mean, Median, Mean Absolute Deviation of number of words on each page.

Book                Mean      Median     Mean Absolute Deviation

Art                      68.7          50                   15.4

Science             54.2          55                    7.9

Magdeline claims that the mean number of words on each page in the art book is greater than the mean number of words on each page in the science book, the art book has more words per page is not a valid inference.

Because variability from mean in art book is more than variability from mean in science book and the mean absolute deviation measures variability from mean. Thus option (D) no, because there is a lot of variability in the art book data is the correct answer.

Learn more about mean absolute deviation here

brainly.com/question/1468924

#SPJ4

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Hello Almighty11,
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4 0
3 years ago
One of the legs of a right triangle measures 15 cm and the other leg measures 10 cm. Find the measure of the hypotenuse. If nece
Olenka [21]

Answer:

18.0 (use 18 if 18.0 is not an answer choice)

Step-by-step explanation:

15²+10²=225+100 = 325

√325 = 18.028 or 18.0 (use 18 if 18.0 is not an answer choice)

6 0
3 years ago
Read 2 more answers
The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate.
Paul [167]

Answer:

A) Amount in the account after 3 years = $ 7, 883.14

B)  Interest earned = $ 883.14

Step-by-step explanation:

The formula to be used is given as

A = P ( 1 + r/n)^nt

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

In the question we are given the following values :

A = final amount = Unknown

P = initial principal balance = $7,000

r = interest rate = 4% = 0.04

n = number of times interest applied per time period = semi annually , n= 2

t = number of time periods elapsed = 3 years

A) Find how much money there will be in the account after the given number of years.

A = P ( 1 + r/n)^nt

A = $7,000 (1 + 0.04/2)²×³

A = $7,000( 1+ 0.04/2)⁶

A = $7,000( 1.02)⁶

A = $ 7,883.14

The amount in the account after 3 years = $ 7,883.14

B. Find the interest earned.

To find the interest earned, we use the formula

A = P + I where

P (principal) = $ 7,000.00

A (Amount after 3 years) = $ 7,883.14

I = A - P

I = $ 7,883.14 - $ 7,000.00

I =$ 883.14

The interest earned = $ 883.14

8 0
3 years ago
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vitfil [10]

Answer:

C.30

Step-by-step explanation:

Its a pattern that increases by $5 as it goes down.

4 0
3 years ago
Total brain fart! 24+5x=-x+6(5a-4)
kow [346]

Answer:

When solving for x, answer = \large\boxed{x = 5a - 8}

When solving for a, answer = \large\boxed{a = 1/5x + 8/5}

Step-by-step explanation:

24 + 5x = -x + 6(5a - 4)

Start by multiplying 6 by the values in the parenthesis

24 + 5x = -x + 30a - 24

Add 24 to both sides of the equation

48 + 5x = -x + 30a

Add 1x to both sides of the equation

48 + 6x = 30a

Subtract 48 from both sides of the equation

6x = 30a - 48

Divide both sides of the equation by 6

x = 5a - 8 (Answer when solving for x)

Add 8 to both sides of the equation

x + 8 = 5a

Divide both sides of the equation by 5

a = 1/5x + 8/5 (Answer when solving for a)

-----------------------------------------

When solving for x, answer = \large\boxed{x = 5a - 8}

When solving for a, answer = \large\boxed{a = 1/5x + 8/5}

Hope this helps :)

3 0
3 years ago
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