Name that Distribution
Measures of Center
Measures of Variability
Histograms
Boxplots
100

Describe the Distribution

Bell-Shaped and Symmetric

100

Which Measure of Center represents the most reoccuring data value in a data set?

Mode

100

Which Dot Plot has a higher standard deviation? top or bottom?

The Top because the data is more spread out from the mean. 

100

Which interval or bin has only 2 states?

1.75-2.00 percent

100

Half the trees have more branches and half the trees have less branches than what number of branches?

10 branches, because 10 is the median. 

200

Describe the Distribution

Uniform and Symmetric

200

Which Measure of Center represents the half way point between the data? 

The Median. 

200

Which dot plot has more variability in its data? Top or Bottom?


Top has more variability because the data is more spread out. 

200

What is the total number of states represented here?

13 states

200

What is Quartile 1?

300

Describe the Distribution. 

Skewed-Left

300

Which will be greater, the mean or the median? 

Neither, they are equal because it is symmetric. 

300

Which dot plot has a higher standard deviation? 

Bottom, Because the more data values are further from the mean than the one on top. 
300

What is the mode of this data set?

There's not one. Three intervals are tied for the most. 2-2.25, 2.25-2.5, and 2.75-3.

300

75% of the tree have fewer than what number of branches?

Most trees have fewer than 14 branches, because 14 is Q3. 

400

Skewed-Right

400

Which is greater: the mean or the median?


The mean will be greater, because the large outliers of 12 and 16 will skew our mean to the right causing it to increase. 

400

Which Dot Plot has a higher standard deviation?

The Top has a high standard deviation, because more data values are far away from the mean than the bottom. 

400

What is the average percentage of WIC participants amongst these states who tax food?

It is not possible to calculate the mean from a histogram, because we do not have the detailed values for each data point. 

400

How many trees were studied?

Not enough information. You can not see all the individual data points on a boxplot.

500

Bimodal

500

If there are outliers in the data, is the mean (Average) or the median (middle) more representative of the data?

Median, because it is resistant to outliers. 

500

Which measure of variability can we NOT get from a Box Plot? Standard Deviation, Range, or IQR?

We can not get the standard deviation from a box plot, because we cannot calculate the mean because we can not see the individual data points. 

500

Is this histogram representing numerical or categorical data?

Numerical 

500

What is the IQR of the boxplot and does it imply high or low variability in the number of tree branches we might find amongst the trees?

IQR = 14 - 7 = 7. There is low variability amongst the trees. 

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