Answered

Find expert advice and community support for all your questions on IDNLearn.com. Ask your questions and get detailed, reliable answers from our community of experienced experts.

A data set consists of 2, 2, 3, 4, 5, 5, and 7. Then, 20 is added to the data set. The new value will have little effect on the , but it will raise the significantly.

Sagot :

Lanuelidn

Answer:

Median; mean.

Step-by-step explanation:

A data set consists of 2, 2, 3, 4, 5, 5, and 7. Then, 20 is added to the data set. The new value will have little effect on the median, but it will raise the mean significantly.

Let's find the median and mean from the original data;

x = 2, 2, 3, 4, 5, 5, 7.

F(x) = 2 + 2 + 3 + 4 + 5 + 5 + 7

F(x) = 28

[tex] Mean = \frac {F(x)}{7} [/tex]

[tex] Mean = \frac {28}{7} [/tex]

Mean = 4

Median is the middle number of a sorted array of numbers.

Median = 4

Now, let's find the median and mean from the new data;

x = 2, 2, 3, 4, 5, 5, 7, 20.

F(x) = 2 + 2 + 3 + 4 + 5 + 5 + 7 + 20

F(x) = 48

[tex] Mean = \frac {48}{6} [/tex]

Mean = 8

[tex] Median = \frac {4 + 5}{2} [/tex]

Median = 4.5

Therefore, the median increased from 4 to 4.5 while the mean increased significantly from 4 to 8.

Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your search for answers ends at IDNLearn.com. Thank you for visiting, and we hope to assist you again soon.