Definitions
Central Tendencies
Trimmed Mean
Measures of Variance
Box and Whisker Plots
100
Probability
how likely something will happen
100
Range of the data set below
2, 5, 6, 8, 2, 4, 9
7
100
A technician recorded the following 20 observation scores:
8, 12, 12, 16, 32, 39, 39, 45, 47, 50, 51, 59, 61, 74, 75, 87, 87, 87, 92, 93. How many values should be removed from each end to calculate a 20% trimmed mean?
4
100
Three measures of variance
Range, Variance, Standard Deviation
100
Five Number Summary
Minimum
Lower Quartile
Median
Upper Quartile
Maximum
200
Median of a data set
central value of a ordered distribution
200
Median value in the data set below
3, 5, 1, 5, 6, 7, 5, 6, 8
5
200
Calculate a 5% trimmed mean for the following data set (20 values):
14, 20, 20, 20, 20, 23, 25, 30, 30, 30, 35, 35, 35, 40, 40, 42, 50, 50, 80, 80
34.7
200
Variance is the difference between the highest and the lowest
True or False
False
200
Q2 is also known as the
median
300
The arithmetic mean of a data set
an average
300
Median value
1, 5, 5, 20, 19, 14, 6, 9, 12, 15, 22
12
300
Calculate a 15% trimmed mean for the following data set (20 values):
14, 20, 20, 20, 20, 23, 25, 30, 30, 30, 35, 35, 35, 40, 40, 42, 50, 50, 80, 80
32.5
300
The central tendency most closely related to standard deviation
mean
300
Interquartile range for store 2
300
400
Trimmed mean
mean of the data values after trimming a specified percentage of the smallest and largest data values from the data set
400
Mean
2, 5, 78, 67, 4, 3, 90, 12, 34, 56, 78, 33, 12, 9, 6, 3, 4, 13
28.3 (one decimal place)
400
Why use trimmed mean
to remove the influence of outliers or extreme values from a set of data, which can help to produce a more accurate representation of the central tendency of the data.
400
Find the sample variance given the following
∑(x-x̄)2 = 610 and n = 11
61
400
Find Q1, Q2, and Q3 for the data set below
3, 5, 2, 8, 9, 6, 4, 4, 6, 2, 7, 7
Q1 = 3
Q2 = 5.5
Q3 = 7
500
Standard Deviation
a measure of how dispersed the data is in relation to the mean
500
Amy recorded her test scores for the past week
65, 88, 70, 82, 67, 90, 94, 77, 81, 83
79.7
500
A trimmed mean is generally considered better to use than a simple mean when your data set contains extreme outliers
True or False
True
500
Find the sample standard deviation given the following
∑(x-x̄)2 = 610 and n = 11
7.81 (two decimal places)
500
Find the five number summary for the set below
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27
Minimum = 1
Q1 = 5
Median = 9
Q3 = 18
Maximum = 27