Describe the Distribution
Bell-Shaped and Symmetric
Which Measure of Center represents the most COMMON data value in a data set? (Mean, Median, Mode)
Mode
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.
Is this histogram representing numerical or categorical data?
Numerical
What is the median number of branches?
10 branches
Describe the Distribution
Uniform and Symmetric
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.
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.
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.
What is Quartile 1? (Q1)
7
Describe the Distribution.
Skewed-Left
Which is more affected by outliers and skew: mean or median?
Mean -> slides down the hill toward outliers and skew.
Which dot plot has a higher standard deviation?
Bottom, Because the more data values are further from the mean than the one on top.
Which interval or bin has only 2 states?
1.75-2.00 percent
What is the minimum? What is the maximum?
5 is the minimum
17 is the maximum
Skewed-Right
Which will be greater, the mean or the median? Or are they equal?
Equal because it is symmetric.
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.
What is the total number of states represented here? (Count each bar)
13 states
75% of the trees have fewer than what number of branches?
14 branches, because 14 is Q3.
Bimodal
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.
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.
Create a histogram on your whiteboard where the mean is higher than the median.
Answers vary. Histograms should be skewed-right.
Give the IQR and the range.
IQR is 7.
Range is 12.