Ana played 555 rounds of golf, and her lowest score was an 808080.
The scores of the \blueD{\text{first $4$ rounds}}first 4 roundsstart color #11accd, start text, f, i, r, s, t, space, 4, space, r, o, u, n, d, s, end text, end color #11accd and the \purpleC{\text{lowest round}}lowest roundstart color #aa87ff, start text, l, o, w, e, s, t, space, r, o, u, n, d, end text, end color #aa87ff are shown in the following dot plot.
A dot plot has a horizontal axis labeled, Golf score, marked from 80 to 100, in increments of 1. 1 dot is plotted above each of the following values: 80, 90, 92, 94, 96. The dot above 80 is shaded purple.
It was discovered that Ana broke some rules when she scored 808080, so that score will be removed from the data set.
A dot plot has a horizontal axis labeled, Golf score, marked from 80 to 100, in increments of 1. 1 dot is plotted above each of the following values: 90, 92, 94, 96.
How will the removal of the \purpleD{\text{lowest round}}lowest roundstart color #7854ab, start text, l, o, w, e, s, t, space, r, o, u, n, d, end text, end color #7854ab affect the mean and median?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Both the mean and median will decrease, but the mean will decrease by more than the median.

(Choice B)
B
Both the mean and median will decrease, but the median will decrease by more than the mean.

(Choice C)
C
Both the mean and median will increase, but the mean will increase by more than the median.

(Choice D)
D
Both the mean and median will increase, but the median will increase by more than the mean.

Answer :

Answer:

It is C. I put the answer C on khan academy yand got it right.

Step-by-step explanation:

The median will increase, and the mean will stay the same

Both the mean and median will increase but the mean will increase by more than the median.

  • The mean and median before eliminating the lowest value are 90.4 and 92 respectively.
  • The mean and median after eliminating the lowest value are 93 and 93 respectively.

How to calculate the mean and median for a set of data?

Consider a set of data.

The mean for the data is calculated as follows:

Mean  = (sum of the all the data elements)/2

The median for the data is calculated as follows:

  • Arrange the data elements in the ascending order
  • Count the data elements
  • If the count is even then the median lies in between the two middle elements
  • If the count is odd then the median is the middle element

Calculating mean and median before removing the lowest score:

The score data before removing the lowest score is

80, 90, 92, 94, 96

There are 5 data elements.

Mean = (80 + 90 + 92 + 94 + 96)/2

          = 90.4

Median = middle element = 92 (since odd number of rounds)

Calculating mean and median after removing the lowest score:

The score data after removing the lowest score is

90, 92, 94, 96

There are 4 data elements.

Mean = (90 + 92 + 94 + 96)/2

          = 93

Median = (in between 92 and 94)

             = (92+94)/2

             = 93

So, the mean and median are increased. The increase in the mean is more than the increase in the median. So, option C is correct.

Learn more about the mean and the median here:

https://brainly.com/question/542771

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