Percentiles and Quartiles: (Week 1 Notes Part 3, Slides 2 thru 7, 27)

25. What does it mean when a height of a boy in the fifth grader is at the 90^th percentile?

26.

I.The first quartile, Q₁ is equivalent to the __________percentile

II.The second quartile, Q₂ is equivalent to the __________percentile (The second quartile, Q₂, is represented by the median)

III.The third quartile, Q₃ is equivalent to the __________percentile

27. The difference between the third quartile and the first quartile (Q₃ - Q₁) is known as the _________________ range (IQR).

28. The ____________percent of data is included between the first quartile, Q₁, and the third quartile, Q₃

29. The Interquartile Range (IQR) can be used to measure the _______________ in a data

30.The measures of ________and _____________ are used to numerically summarize the data.

Five Number Summary of data (Week 1 Notes, Part 3, Slides 16-17)

31. List the numbers used for the 5-number summary of data

1.4.3 Robust Estimates: (Descriptive Stats with Minitab)

32. With Minitab, calculate the mean, the median, the standard deviation (SD) and interquartile range (IQR) for the datasets 1 and 2:

Dataset 1: 5, 7, 10, 12, 16, 15, 14

Dataset 2: 0, 2, 10, 13, 1000, 15, 16 (Notice the presence of the extreme values)

33.Compare the values of the Mean, Median, Standard deviation, and Interquartile Range

Notice?

I.There is a significant change in the values of the _____________and the _________ __________ from dataset 1 to dataset 2

II.There is not a significant change in the values of the _____________and the _________ __________ from dataset 1 to dataset 2

34. The median and the Interquartile Range (IQR) are considered the ______________estimates because extreme observations have little effect on their values.

Robust Estimates---Summarizing Symmetric vs Skewed Data

(Week 1 Notes, (part 3) Slides 12-14)

35. For Symmetric Distributions, it is often more appropriate to use the _______and the _________ ________________to describe the center and the spread

36. For Skewed Distributions, it is often more appropriate to use the _______and the _________ ________________to describe the center and the spread

************

1.4.4 Visualizing Distributions of Data: Histograms and Boxplots

37. Graphs show important features of data such as ____________or ____________ _________ that are not evident from numerical summaries.

The Histogram:

38. In a histogram the observations are grouped into________and plotted as _____. The bars in the histograms are _______________. (separated or connected)

39. Consider the histogram of blood glucose levels for 45 individuals below:

40. The heights of the bars of the histogram, refer to the frequency, or the count of the individuals in the specific range of the blood glucose level, for example, there are 4 individuals who have blood glucose level between 60 to 80.

I.How many individuals have blood glucose level between 80 to 100?

II.How many individuals have blood glucose level between 180 to 200?

III.How many individuals have blood glucose level below 100?

IV.How many individuals have blood glucose level higher than140?

Describing the shapes of the distribution:

41.

I.A distribution is considered symmetric when the tails of the distribution are roughly ___________, with data trailing off the from the _______ roughly equally in both directions.

II.A distribution is considered right skewed when the data trail off to the __________

III.A distribution is considered left skewed when the data trail off to the __________

Histogram of BloodGlucose BO 100 120 140 160 180 200 220 240 20 19 20 15 Frequency 10 10 3: 7 1 BO 10 0 120 140 160 180 200 220 240 BloodGlucoseOpen Minitab>Manually Enter the numbers in C1 and C2> Stat>Basic Statistics>Display Descripti Statistics>Double Click C1 Set 1>Double click C2 Set 2> Statistics>Select Mean>Standard deviation>Median>Interquartile Range>OK>OK>Click on Minitab output>Right click>Copy as a picture>Copy results below C1 C2 Minitab . Untiled Display Descriptive Statistics X Display Descriptive Stati Set 1 Variables: Set 1 Set 2 File Eat Data Cake Stak Gagn View Help Assistant Additional Too's Set 2 'Set 1' 'Set 2' V Mean 5 0 Baric Statistics SE of mean Depression Standard deviation 7 2 T Store Descriptive Statistic. By variables (optional): Navigator Variance 1 4 Graphical Summary. Coefficient of variation 10 10 DOE 12 13 Control Courts First quartile V Median 16 1000 Quality Took Third quartile Select 15 15 Reliability Survival StatisticS... Graphs... Interquartile range Mode 14 16 Predictive Analytics Help OK Cancel