Complete worksheet

Frequency Tables
Complete a frequency table for your own Wordle scores.
x
1
2
3
f
p
%
cf
4
5
6
∑=
–
Not part of the Wordle trend? That’s okay! You can make frequency tables to track the number
of times any set of outcomes occur. Choose something fun for you!
How to collect your own data to keep practicing:
1. For the next five days, count how many times you do a behavior each day. (Examples: how
many cups of coffee you drink per day, or how many songs you listen to per day)
2. If you recorded data all five days, you should have five scores. This is a small dataset. You can
start building your frequency table, or keep recording until you have more data points!
3. Once your data are collected, write down each unique value you observed in the x column.
4. Use the steps you learned in class to complete the rest of the table.
P.S. If you want to play Wordle, you can start here: https://www.powerlanguage.co.uk/wordle/
Central Tendency
0
6
7
7
9
10
12
12
13
17
17
18
20
21
22
30
30
33
33
33
33
33
33
40
40
44
44
44
44
47
49
54
55
55
60
65
67
70
77
77
82
90
91
98 102 109 110 110 140 175
What is the mean?
What is the median?
What is the mode?
Mark the location of each measure of central tendency on the histogram below:
Calculating the mean from a frequency table
x
f
1
1
2
3
3
4
4
2
5
1
Frequency
5
4
3
2
1
0
1
2
3
Scores
4
Use the information from the frequency table above to calculate the mean for this data set.
M=
𝜮𝒙
𝒏
5
Lecture Worksheet: Variability
This worksheet will guide you through calculating variance and standard deviation
for populations and samples.
The Cincinnati Bengals will play the LA Rams in the Superbowl on Sunday, February
13, 2022. Which is the better team? Let’s look at each team’s performance during
the regular season.
Step 1: First, let’s find the standard deviation for the Bengal’s points scored per
game during this year’s regular season. Use the table below to calculate SS:
x
(x-M)
Bengals
(x-M)
2
27
17
24
24
22
34
41
31
16
32
41
22
23
15
41
34
16
M=
SS=
SS=Σ(x-M)2
Step 2: Use SS to calculate variance.
ss
Population: σ2 = N =
ss
Sample: s 2 = n-1 =
Should you use the formula for a population or a sample? Why?
How would your answer change if we were interested in using the same data to
investigate Superbowl contender’s regular season performance (not just the
Bengal’s)? Why?
Which formula produces a larger variance?
Step 3: Use variance to calculate standard deviation.
𝑠𝑠
Population: 𝜎 =√ 𝑁 =
𝑠𝑠
Sample: 𝑆𝐷 =√𝑛−1 =
Now let’s use the same steps to find the standard deviation for the Ram’s points
scored per game during this year’s regular season.
Step 1: SS
XRams
(x-M)
(x-M)
2
34
27
34
20
26
38
28
38
16
10
28
37
30
20
30
20
24
M=
Step 2: Calculate variance.
Step 3: Calculate standard deviation.
SS=
Which team has the higher points per game on average?
Which team has the more consistent performance?