Measures of Center
Define "mode" in a set of numbers.
Most frequent value
What type of graph shows individual data points stacked above a number line?
Dot Plot
What does the line inside a box plot represent?
Define "range" for a data set.
maximum - minimum
What does "minimum" mean in a data set?
smallest value
Given the data set 5,7,7,8,10, what is the median?
Median=7
A histogram groups data into intervals. True of false?
True
minimum and maximum
Find the range: 4,9,13,20
Range= 20-4=16
What does "maximum" mean in a data set?
largest value
The population values are: 10, 30,30,40,50. What is the mean?
10+30+30+40+50/=160/5=32
When would you prefer a dot plot over a histogram?
Prefer dot plot for small data sets to show individual values
Identify Q1, median, and Q3 in this ordered list: 6,8,12,18,20,22
Ordered list 6,8,12,15,18,20,22
Q1=8
Median=15
Q3=20
Explain what a small IQR indicates about the middle 50% of the data.
means middle 50% are close together.
left and right halves mirror each other.
Explain how the median is affected when you add a very large value to the data set.
Median shifts toward the new larger value only if it changes the middle position--adding one large value may increase mean much more than median.
You are given a histogram with skewed right data? Describe where most data values lie (left, center, or right).
Most values lie on the left with tail to the right.
Give Q1=10, median=15 Q3=22, what is the IQR?
Q3-Q1=22-10=12
Data set A has range 30 and IQR 8. Data set B has range 30 and IQR 20. Which set has more spread in the middle 50%?
Data set B has more middle spread(IQR 20>8).
What does it mean when the data set is asymmetrical?
data points are not evenly distributed around the mean.