2.1-2.3 Quiz Review

Quiz #3 Review (2.1 - 2.3)

Quizzizz Review

Topics on this Quiz

●Understand and interpret boxplots

○IQR, Q1 and Q3, amount of data in a given interval (quarters)

●Know how to find Outliers

○We do this using the 1.5 x IQR rule

○Find limits for high and low outliers

●Know how to find Percentile

○Percentile: the percentage of data below a given value in a dataset

●Know how to find z-score

○Z-score: the number of Standard Deviations away a given point is ain a dataset

○Know the equation for z-score

○Know how to find a given value from z - score

​Boxplots and Outliers

• Find median, and then find halfway points of median, these are Q1 and Q3,

• Each section of the data has 1 quarter of the data

• Any dots outside of the box and whiskers is an outlier

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Drag these tiles and drop them in the correct blank above

Minimum

Q1

Median

Q3

Maximum

IQR

Outlier

Average

mean

Q4

1.5 x IQR Rule

• To find outliers for a given set of data, we use 1.5 x IQR rule

• High Outliers > Q₃ + (1.5 x IQR)

• Low Outliers < Q₁ - (1.5 x IQR)

• The following set of data is the weight of puppies in a kennel, here are their weights: 50,60,63,65,70,71,75,100

• Using the equations, calculate if 100 is an outlier

Draw

Find if 100 is an outlier, show work

Percentile

• Percentile: the percentage of values below a given value in a dataset

• EX: I have a 20 student class and my score was better than 18/20 of my classmates, I scored in the 90th percentile

• Make sure to round to the nearest whole number, PERCENTILE IS NOT PERCENTAGE

• Find the percentile of the 100 lb puppy:

  50,60,63,65,70,71,75,100

Fill in the Blanks

Find the percentile of the 100lb puppy from the given dataset

Z-Score

• Z-Score is the measure of how many standard deviations a given values is from the mean

• Example from Notes: A class takes a test and the mean score was 80% with a standard deviation of 10. Mr. B got a 90%, whats his z-Score? It is 1

• The equation for z-score is as follows:

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• Where "X" is Mr. B's score, "x̄" is the mean of the data, and s (usually S_x) is the standard deviation

Fill in the Blanks

Mr. B's class recently took an exam that went incredibly well, the mean score (class average) was a 91% with a standard deviaton (S_x) of 7. Find Drake's z-score who got a 77% on the exam.