Introduction to Statistics
A questions for which you do not expect to get a single answer.
What is a data value that is much greater or much less than the other values called?
Outlier
The ______ is the middle value.
Median
The ______ of a data set is the difference between the greatest value and the least value.
Range
What is a box-n-whisker plot used for?
To show the spread of data.
Is this question statistical?
How many senators are in Congress?
No
The ______ of a data set is the sum of the data divided by the number of data values.
Mean
The _______ is the value or values that occur the most in a data set.
Mode
Find the range of the data:
24, 56, 9, 83, 77, 14
74
Which 5 data values do you use to make a box plot?
Median, Min, Max, Q1, Q3
Is this questions statistical?
On what day of the month were you born?
Yes
Identify the outlier(s) in this data set.
18, 21, 22, 19, 0, 19, 20, 82
0, 82
When there is an outlier present.
Find the IQR.
Q1 = 14 and Q3 = 27
13
What percent of the data is above the median?
50%
Can you have two peaks?
Yes
Find the mean of this data set:
2, 7, 7, 12, 4
6.4
Find the median and mode of the data set:
4, 5, 7, 5, 9, 9, 10, 6
Median: 6.5
Mean: 5 and 9
What does IQR stand for?
Inner Quartile Range
What does Q1 and Q3 stand for?
First Quartile and Third Quartile
Display the data in a dot plot. Identify any clusters, peaks, or gaps.
33, 39, 38, 40, 38, 39, 32, 40, 39, 40, 39. 33
The data is clustered around 39, there is a peak at 39, there is a gap between 33 and 38.
Find the mean of the data set:
4, 7, 5, 5, 9, 9, 10, 6
6.875
Find the mean, median, and mode. Choose the measure that best represents the data.
5, 6, 4, 24, 18
Mean: 11.4, Median: 6, Mode: none. The median is the best indicator.
Find the median, first quartile, third quartile, and interquartile range.
36, 24, 49, 32, 37, 28, 38, 40, 39
Median - 37, Q1 - 30, Q3 - 39.5, IQR - 9.5
Create a boxplot for this data.
Distance Driven (miles)
312, 158, 286, 225, 196, 206, 201, 192
What shape of distribution does it have?
Graph-median=203.5, Q1= 194, Min=158, Q3=255.5, Max=312