Z - Score
The distribution of running times for a football team are approximately normal, with a mean = 4.6 seconds and a standard deviation = 0.15 seconds.
Calculate the z-score for Tom, who has a time of 5 seconds.
2.67
Find the z-score!
.6700
z = 0.44
The distribution of running times for a football team are approximately normal, with a mean = 4.6 seconds and a standard deviation = 0.15 seconds.
What % of times are slower than 4.6 seconds?
50%
The area below a density curve is equal to ____
1
Unable to use one of the 5 senses on a specific item
Can't Touch This
Find the % of observations that are below a z-score of 1.25.
.8944 or 89.44%
___% of the data of a Normal distribution falls within one standard deviation of the mean.
68
The distribution of running times for a football team are approximately normal, with a mean = 4.6 seconds and a standard deviation = 0.15 seconds.
What % of times are slower than 4.9 seconds?
.0228 or 2.28%
The distribution of running times for a football team are approximately normal, with a mean = 4.6 seconds and a standard deviation = 0.15 seconds.
The coach discovers that is stopwatch is fast, so he decides to add 0.5 seconds to everyone's time. What will happen to the mean and standard deviation?
Mean = 5.1 seconds, SD = 0.15 seconds
Square Root of 49 Country Military Service
Seven Nation Army
Z-score is a measure of how many ____________ you are from the mean.
Standard Deviations
___% of the data of a Normal distribution falls within two standard deviations of the mean.
95
The distribution of running times for a football team has a mean = 4.6 seconds and a standard deviation = 0.15 seconds. The fastest time was 4.4 seconds.
Is this data approximately normal?
No, 3rd SD would be 4.15 seconds OR there should be around 9% of the running times that are faster than 4.4 if data is Normal
You take a test and are told that you scored in the 75th percentile. This means __________
75% of people taking the test did the same or worse than you OR you did the same or better than 75% of people taking the test
The Window to the Soul of a Ferocious Feline
Eye of the Tiger
The distribution of running times for a football team are approximately normal, with a mean = 4.6 seconds and a standard deviation = 0.15 seconds.
If Joe's z-score is -2, what was his running time?
4.3 seconds
What is the Empirical Rule?
68 - 95 - 99.7
The distribution of running times for a football team are approximately normal, with a mean = 4.6 seconds and a standard deviation = 0.15 seconds.
What % of running times would be between 4.5 and 4.7 seconds?
0.4950 or 49.5%
You take a test and are told that you scored in the 75th percentile. 200 people took the test. This means that ______ people did the same or better than you.
50
The area of land that is believed to be named after Amerigo Vespucci
This is America
Almost all data falls within ____ standard deviations of the mean.
3
This calculator function is used to find percentiles based on a given range of data or z-scores.
NormalCDF
The distribution of running times for a football team are approximately normal, with a mean = 4.6 seconds and a standard deviation = 0.15 seconds.
250 people tried out for the team. Because on this, only those who had a time faster than 4.45 seconds were chosen. About how many people were chosen?
About 40 people
5 # Summary: 3 6 11 16 18
The 35th percentile would be between what to numbers?
6 and 11
Refusal to Cease Movement of Something that you have Faith in
Don't Stop Believing