Researchers weighed a sample of river otters and a sample of sea otters. These dot plots show the results (rounded to the nearest pound).Identify the shape of each dot plot.Which dot plot has a larger center? What does this mean in terms of the otters?Identify any outliers. What do you think the outliers represent?Which dot plot has a larger spread?How do the outliers affect the spread of the dot plot?

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03-11-2022
Mathematics

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Researchers weighed a sample of river otters and a sample of sea otters. These dot plots show the results (rounded to the nearest pound).Identify the shape of each dot plot.Which dot plot has a larger center? What does this mean in terms of the otters?Identify any outliers. What do you think the outliers represent?Which dot plot has a larger spread?How do the outliers affect the spread of the dot plot?

Sagot :

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Answer:

1. River otters: Symmetric

Sea otters: Negative skewness

2. Sea otters' plot has a larger center, so sea otters are heavier than river otters.

3. There are three outliers in the sea otters' plot. They would represent the weight of baby otters.

4. Sea otters' plot has a larger spread

5. The outliers increase the spread of the dot plot

Explanation:

Question 1.

To know the shape of the plots, we will compare the plot with the following figures:

Therefore, for each group, we get:

River otters: Symmetric

Sea otters: Negative skewness

Question 2.

The river otters have weights that are around 10 and 26 lbs and the majority of the sea otters have weights around 38 and 64 lbs.

Therefore, the plot with the larger center is the plot for the sea otters and it means that the sea otters are heavier than the river otters.

Question 3.

The outliers are those dots that are too far from the majority of the data. In this case, there are outliers in the plot of the sea otters because we can consider the three dots located at 8, 10, and 12 lbs as outliers.

We can say that these outliers represent the weight of the baby otters. That's why they are smaller than the others.

Question 4.

We can see the spread as the extension of the dots in the number line. In the first case, the dots go from 10 to 26. However, in the second plot, the dots go from 8 to 64.

Since the difference of 64 and 8 is greater, we can say that the sea otters' plot has a larger spread.

Question 5.

Since there are outliers in the second plot, the spread is greater because they are too far from the other points. So, the outliers increase the spread of the data.

Sagot :

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