Day 2 - Quartiles KEY.notebook · Day 2 Quartiles KEY.notebook 3 August 28, 2019 Range ‐ The...
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Day 2 Quartiles KEY.notebook 1 August 28, 2019 The quiz scores for two of Ms. Solomon's Algebra 2 classes are recorded below. Period 1 74 81 82 93 90 87 79 84 92 84 80 86 90 76 83 83 84 Period 3 58 100 66 77 94 84 59 71 100 97 83 67 89 99 84 100 100 Calculate the mean and median for each period. Which class performed better. Justify your answer.
Transcript of Day 2 - Quartiles KEY.notebook · Day 2 Quartiles KEY.notebook 3 August 28, 2019 Range ‐ The...
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The quiz scores for two of Ms. Solomon's Algebra 2 classes are recorded below. Period 1
74 81 82 93 90 87 79 84 92
84 80 86 90 76 83 83 84
Period 3
58 100 66 77 94 84 59 71 100
97 83 67 89 99 84 100 100
Calculate the mean and median for each period. Which class performed better. Justify your answer.
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Measures of Spread
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Range ‐ The difference between the largest and smallest observations
- Influenced by extreme values/outliers
Percentile - The nth percentile of a distribution is the value such that n percent of the observations fall at or below it.
What value is always the 50th percentile?
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Quartiles The three values that divide the distribution into four equal parts.
- First Quartile (Q1): The median of all data values from the minimum to the median in an ordered list (25th percentile)
Second Quartile (Q2): Median
Third Quartile (Q3): The median of all data values from the median
to the maximum in an ordered list
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Finding quartiles on your calculator!
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The Five‐Number Summary and Boxplots
Minimum, Q1, Median, Q3, Maximum
Use to describe skewed data
Boxplot: Visual representation of the 5Number Summary
A box spans from Q1 Q3
A line in the box marks the median
Tails extend from the box out to the max and min
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Create a fivenumber summary for each class's quiz scores and create boxplots for each class on the same graph.
Period 1
74 81 82 93 90 87 79 84 92
84 80 86 90 76 83 83 84
Period 3
58 100 66 77 94 84 59 71 100
97 83 67 89 99 84 100 100
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Outliers Values that are significantly different from the rest of the observations in a distribution.
Misleading when stating the range of the data
Interquartile Range (IQR) is more resistant IQR = Q3 Q1
IQR is the middle 50% of the data
Calculating Outliers
Outlier > Q3 + 1.5(IQR)
Outlier
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modified boxplots Used when there are outliers
Tail extends to last value in the data set that isn't an outlier and each outlier is represented with a dot
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The data below lists the number of followers that various students have on Instagram. Are there any outliers in the data?105 640 388 200 350 968 295
112 100 315 712 510 89 236
275 56 320 94 477 500 202
600 550 220 369 200 400
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Suggested Homework:
33, 34, 36, 37
Page 1: Aug 28-4:02 PMPage 2: Aug 28-4:36 PMPage 3: Aug 28-4:37 PMPage 4: Aug 28-5:05 PMPage 5: Aug 28-5:17 PMPage 6: Aug 28-5:19 PMPage 7: Aug 28-7:00 PMPage 8: Aug 28-7:04 PMPage 9: Aug 28-7:09 PMPage 10: Aug 28-7:25 PMPage 11: Aug 28-7:45 PM
