Describe the Distribution
Bell-Shaped and Symmetric
Which Measure of Center represents the most reoccuring data value in a data set?
Mode
Which Dot Plot has a higher standard deviation? top or bottom?
The Top because the data is more spread out from the mean.
Which interval or bin has only 2 states?
1.75-2.00 percent
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.
Describe the Distribution
Uniform and Symmetric
Which Measure of Center represents the half way point between the data?
The Median.
Which dot plot has more variability in its data? Top or Bottom?
Top has more variability because the data is more spread out.
What is the total number of states represented here?
13 states
What is Quartile 1?
7
Describe the Distribution.
Skewed-Left
Which will be greater, the mean or the median?
Neither, they are equal because it is symmetric.
Which dot plot has a higher standard deviation?
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.
75% of the tree have fewer than what number of branches?
Most trees have fewer than 14 branches, because 14 is Q3.
Skewed-Right
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 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 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.
How many trees were studied?
Not enough information. You can not see all the individual data points on a boxplot.
Bimodal
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.
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.
Is this histogram representing numerical or categorical data?
Numerical
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.