Statistical or Not
Is this a statistical question?
How many students are wearing shoes in this class?
No.
What is the mode?
1.06, 9.3, 59.59, 6.01, 25.17, 1.06, 6, 1.06, 0.7
1.06
What is the range:
5, 10, 17, 19, 35.3, 3, 4, 56, 7, 1.7
56 - 1.7 = 54.3
What fraction or percentage of data is in each of the 4 sections of a box plot?
1/4 = 25%
Find the lower and upper extreme:
5, 10, 15, 20, 25
LE = 5
UE = 25
Should a statistical question have a single answer?
No, it should have multiple answers and requires data to be collected.
What is the median?
93, 47, 37, 49, 25, 12, 13, 57
(37 + 47)/2 = 42
Find the 5 essential values for:
33, 4, 5, 6, 10, 15, 17, 18, 19, 21, 29
4, 5, 6, 10, 15, 17, 18, 19, 21, 29, 33
LE = 4
Q1 = 6
Q2 = 17
Q3 = 21
UE = 33
Which measures of center (mean, median or mode) could you find by looking at a box plot?
The only measure of center you can identify is the median.
What are the 5 essential values for:
5, 5, 10, 10, 15, 15, 20, 20, 25, 25
LE = 5
Q1 = 10
Q2 = 15
Q3 = 20
UE = 25
Is this a statistical question?
What is the typical favorite sport of a Redwood student?
Yes
What is the median?
103, 2, 23, 156.5, 105.5, 145
104.25
What would the upper outliers be greater than for the data:
33, 4, 5, 6, 10, 15, 17, 18, 19, 21, 29
21 + 1.5*15 = 43.5
Which measures of center (mean, median or mode) could you find by looking at a dot plot?
What is the range and IQR for:
5, 5, 10, 10, 15, 15, 20, 20, 25, 25
Range = 25 - 5 = 20
IQR = 20 - 10 = 10
Is this a statistical question?
Does the Watson Family watch TV?
no
What is the mean, median and mode?
1, 1, 2, 3, 4, 4, 5, 6, 7, 8
Mean = 41/10 = 4.1
Median = 4
Mode = 1 and 4
Find the MAD for the data set:
0, 1, 1, 2, 2, 3, 3, 3, 4, 5, 6, 6
Mean = 3
MAD = 1.5
What is the first step you need to do to make a box plot?
Order the data
Calculate the outlier values for:
5, 5, 10, 10, 15, 15, 20, 20, 25, 25
20 + 1.5(10) = 35
10 - 1.5(10) = -5
There are no outliers in this data set.
Is this statstical?
What is the average weight of 11th grade students in America?
yes
What is the mean, median and mode for a student whose grades are:
13, 27.3, 70, 70, 83, 97
Mean = 60.05
Median = 70
Mode = 70
Find the IQR of the data set:
30, 45, 46, 72, 78, 89, 99, 100, 100
Median = 78
Q1 = 45.5
Q3 = 99.5
IQR = 99.5-45.5 = 54
Calculate the MAD for:
5, 5, 10, 10, 15, 15, 20, 20, 25, 25
MAD = 6