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Ana played 4 rounds of golf and then played her lowest
round of golf with a score of 80.
The scores of the first 4 rounds and the lowest round
are shown in the following dot plot.
80
85
95
100
90
Golf score
How did the lowest round affect the mean and
median?
Choose 1 answer:
©
The median decreased, and the mean increased.
®
The mean decreased, and the median increased.
Both the median and mean decreased, but the mean
decreased by more than the median.
Both the median and mean decreased, but the
median decreased by more than the mean.

Respuesta :

Answer:

Both the median and mean decreased, but the mean decreased by more than the median.

Step-by-step explanation:

Khan academy.

Hope this helps!!!

MrRoyal

Mean and median are both statistical parameters.

The mean and the median decreased.

The scores in the first four rounds are: 85, 95, 100 and 90

The mean is:

[tex]\mathbf{\bar x = \frac{\sum x}{n}}[/tex]

So, we have:

[tex]\mathbf{\bar x = \frac{85 + 95 + 100 + 90}{4}}[/tex]

[tex]\mathbf{\bar x = 92.5}[/tex]

Sort the dataset as follows: 85, 90, 95, 100

The median is between 90 and 95.

So, we have:

[tex]\mathbf{Median = \frac{90 + 95}{2}}[/tex]

[tex]\mathbf{Median = 92.5}[/tex]

When the lowest round is added, the dataset becomes: 80, 85, 90, 95, 100

The mean is:

[tex]\mathbf{\bar x = \frac{\sum x}{n}}[/tex]

So, we have:

[tex]\mathbf{\bar x = \frac{80 + 85 + 90 + 95 + 100}{5}}[/tex]

[tex]\mathbf{\bar x = 90}[/tex]

The median is the middle value

[tex]\mathbf{Median = 90}[/tex]

So, we have:

The first four rounds

[tex]\mathbf{Mean = Median = 92.5}[/tex]

All rounds

[tex]\mathbf{Mean = Median = 90}[/tex]

Hence, the mean and the median decreased.

Read more about mean and median at:

https://brainly.com/question/22806323

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