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Lessons 1.6 & 1.7 Content Check

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Question 1
1.

Joey’s first 13 quiz grades in a marking period are listed here.

82    93    77    79    90    82    85    85    95    73    79    83    89

Find the median either by hand or use statsmedic.com/applets.
What is the median?

Question 2
2.

Using the median from #1, select the correct interpretation of the median.

Question 3
3.

Explain how to find the median if there is an even number of values in a data set.

Question 4
4.

The weights (in grams) of 12 carrots in a single bag from a local grocery store are listed here.

44    56    48    41    66    55    42    33    51    44    61    65

Either by hand or using statsmedic.com/applets, find the median. Make sure to include units.

Question 5
5.

The weights (in grams) of 12 carrots in a single bag from a local grocery store are listed here.

44    56    48    41    66    55    42    33    51    44    61    65

Either by hand or using statsmedic.com/applets, find the mean. Make sure to include units.

Question 6
6.

Interpret the mean that was calculated in #5 for the bags of carrots.
X is used in place of the actual answer.

Question 7
7.

Look at the dot plot for the weight of carrots in the bag.
Describe the shape of the distribution below, select two correct answers.

Question 8
8.

Using the description of the dot plot shape from #5, what measure of center is best?

Question 9
9.

Use the bag of carrot data analysis in Statsmedic.com/applets.
What was the standard deviation?
Round to one place past the decimal point and use units.

Question 10
10.

Interpret the meaning of the standard deviation.

Question 11
11.

Question 12
12.

Question 13
13.

To become president of the United States, a candidate does not have to receive a majority of the popular vote. The candidate does have to win a majority of the 538 electoral votes that are cast in the Electoral College.
Here is a stemplot of the number of electoral votes in 2016 for each of the 50 states and the District of Columbia.
How would the mean and median compare?

Question 14
14.

Question 15
15.

Heavy Cowboys The roster of the Dallas Cowboys professional football team in a recent season included 7 defensive linemen.
Their weights (in pounds) were 321, 285, 300, 285, 286, 293, and 298.
Find the range of the distribution. Include units.

Question 16
16.

Heavy Cowboys The roster of the Dallas Cowboys professional football team in a recent season included 7 defensive linemen.
Their weights (in pounds) were 321, 285, 300, 285, 286, 293, and 298. Find the range of the distribution.
What is the standard deviation of the weights? Be sure to include units.

Question 17
17.

Interpret the standard deviation from #16.
Make sure to use our template:
'... typically vary from the mean of ... by ...'
make sure to include context and units!

Question 18
18.

The dotplot shows the weights (to the nearest gram) of 12 carrots in a single bag from a local grocery store.

Use statsmedic.com/applets (1 quantitative variable) to find the median weight of the carrots. Be sure to use units.
Data values are: 33, 41, 42, 44, 44, 46, 51, 55, 56, 61, 65, 66

Question 19
19.

The dotplot shows the weights (to the nearest gram) of 12 carrots in a single bag from a local grocery store.

Use statsmedic.com/applets (1 quantitative variable) to find the Interquartile Range (IQR) of the carrots. Use units.

Question 20
20.

Interpret the Interquartile Range (IQR) of the carrots from #19.
Be sure to use our template:
'The middle half of the ... has a range of ...'
Make sure you use units and include context.

Question 21
21.

There is one peak at 44 grams.
The dot plot appears to be skewed right.
The dot plot appears to be skewed left.
The dot plot appears to be symmetrical.
Mean
Mode
The histogram displays data from a study of lightning storms in Colorado.45 It shows the distribution of time after midnight (in hours) until the first lightning flash for that day occurred.
Using the data distribution below, decide which measure of center and spread are appropriate to be used when describing the data.


Hint: you will need to select three choices, one for center and one for spread &
explain why.
Median
The data is skewed left, pulling the mean lower.
The data is symmetric, keeping the median & mean about equal.
IQR
Standard Deviation
Mean
The data is skewed right, pulling the mean higher.
One of the important factors in determining population growth rates is the birthrate per 1000 individuals in a population.
The dotplot shows the birthrates per 1000 individuals for 54 African nations.
Using the data distribution below, decide which measure of center and spread are appropriate to be used when describing the data.


Hint: you will need to select three choices, one for center and one for spread,
then, why did you make your choice?
The data is skewed left, pulling the mean lower.
The data is skewed right, pulling the mean higher.
Standard Deviation
IQR
Mean
The data is roughly symmetric, keeping the mean about equal to the median.
Median
Mean > Median
Here is a stemplot of the number of electoral votes in 2016 for each of the 50 states and the District of Columbia.
Which would be a better measure of center, the mean or the median?
Why? Select two answers.
The skew pulls the mean to the left, the median is resistant to outliers.
The skew pulls the median to the left, the mean is resistant to outliers.
Unable to be determined
The skew pulls the median to the right, the mean is resistant to outliers.
Both the mean and the median are equal.
Either the mean or the median.
Median
Mean
The skew pulls the mean to the right, the median is resistant to outliers.
Based on the shape of the data distribution of carrot weight, which is the more appropriate measure of variability for this distribution for center and spread? Justify your answer.
The data distribution is skewed right.
IQR
Mean
The data distribution is skewed left.
The data distribution is roughly symmetric.
Median
Standard Deviation