Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Given Set \(P:\ 3,\ 4,\ 7,\ 8,\ 8\) and Set \(Q:\ 0,\ 0,\ 1,\ 1,\ 3,\ 7\).
Calculate the mean and mean absolute deviation for both sets. Then, answer the following questions.
1. How many data points in Set Q are closer than one mean absolute deviation from the mean of Set Q?
2. How many data points in Set P are further than two mean absolute deviations from the mean of Set P?
3. Find the difference between the two means. How does this difference relate to the mean absolute deviation of each set? For example, is it the same as the mean absolute deviation, twice as much, half as much, etc?

Sagot :

fichoh

Answer:

3 points ;

0 points

Step-by-step explanation:

Given the data:

P: 3, 4, 7, 8, 8

Using a calculator :

Mean of set P = 6

Mean absolute deviation = 2

Q: 0, 0, 1, 1, 3, 7

Using a calculator :

Mean of set Q = 2

Mean absolute deviation = 2

1.)

1 mean absolute deviation (MAD) of set Q = 2

1 MAD from mean of Q : 2 ± 2 = (2 - 2) ; (2 + 2) = 0 ;4

Hence, points closer Than 1 MAD = 1, and 3

2.)

2 MAD of set P ; 2 * 2 = 4

2 MAD from. The mean :

(6 - 4) ; (4 + 6)

(2 ; 10)

No point in set P is further Than 2 MAD from the mean of Set P

3.)

Mean difference :

P - Q = 6 - 2 = 4

MAD difference :

2 - 2 = 0

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.