Read the article One Weird Mammal. Be on the lookout for clues to help you answer each question.
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Part A:
Scientists tagged 7 platypuses and recorded their weights. Then they used trackers to study how far the platypuses traveled. Receivers placed along a river detected the trackers, which they used to estimate how far each one moved. Below is their data.
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Question 1
1.
Calculate the mean, median, and mode. Then match each answer.
Draggable item
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Corresponding Item
mean
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1.6
median
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1.7
mode
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1.8
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Question 2
2.
Use the data, Number of times Trackers Detected in 6 Months, for questions 2 - 4
Calculate the mean.
1 point
1
Question 3
3.
What is the median of the data for Number of times Trackers Detected in 6 Months?
1 point
1
Question 4
4.
The mode of the data for Number of times Trackers Detected in 6 Months is
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3
Question 5
5.
Calculate the mean, median, and mode of the data for Average Daily Distance Traveled.
1 point
1
Question 6
6.
Which data set has multiple outliers (values much lower or higher than the mean)?
1 point
1
Question 7
7.
Identify the two outliers from the data set.
Talking Mean & Median
Mean and median are measures of center used to compare and draw inferences about different data sets. However, each measure can give a very different picture of the data being compared.
Is it better to use the mean or median when comparing data sets?
Using the mean is a better option when the data sets have fairly consistent values, with few "gaps" in the data. A gap is formed where a big separation exists between the majority and an outlier.
Using the median is a better option when the data sets have outliers or extreme values that can drastically affect the mean.
Part B: Use the final data set to answer the remaining questions.
1 point
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Question 8
8.
What is the mean of the data set? Round your answer to the nearest whole number.
1 point
1
Question 9
9.
What is the median of the data set?
1 point
1
Question 10
10.
What is the mode of the data set?
2 points
2
Question 11
11.
Does the data set have any outliers? Explain.
1 point
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Question 12
12.
Which measure of center best describes the data set? Explain.