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 COMMON data value in a data set? (Mean, Median, Mode)

Mode

100

Which Dot Plot has a higher standard deviation (measure of spread)? Top or bottom?

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

100

Is this histogram representing numerical or categorical data?

Numerical 

100

What is the median number of branches?

10 branches

200

Describe the Distribution

Uniform and Symmetric

200

Which Measure of Center represents the half-way point of the data? (Mean, Median, Mode).

BONUS: Is this measure rock-solid or easily pushed around by outliers and skew?

The Median.

Rock-solid. Not affected much by skew and outliers.

200

Which dot plot has higher standard deviation (spread) in its data? Top or Bottom?


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

200

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.

200

What is Quartile 1? (Q1)

300

Describe the Distribution. 

Skewed-Left

300

Which is more affected by outliers and skew: mean or median?

Mean -> slides down the hill toward outliers and skew.

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

Which interval or bin has only 2 states?

1.75-2.00 percent

300

What is the minimum? What is the maximum?

5 is the minimum 

17 is the maximum

400

Skewed-Right

400

Which will be greater, the mean or the median? Or are they equal?

Equal because it is symmetric

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 total number of states represented here? (Count each bar)

13 states

400

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

14 branches, because 14 is Q3. 

500

Bimodal

500

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. 

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.

500

Create a histogram on your whiteboard where the mean is higher than the median.

Answers vary. Histograms should be skewed-right.

500

Give the IQR and the range.

IQR is 7.

Range is 12.