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Statistics. Context Data Variation. 5 number summary. Max Min Median Q1 Q3 Range Mean Mode IQR Sum n. Write up . Write the data in sentences Write the explanation in paragraph format Context, use it before or after the explanation. CUSS- Center, Unusual, shape, spread.

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statistics

Statistics

Context

Data

Variation

5 number summary
5 number summary
  • Max
  • Min
  • Median
  • Q1
  • Q3
  • Range
  • Mean
  • Mode
  • IQR
  • Sum
  • n
write up
Write up
  • Write the data in sentences
  • Write the explanation in paragraph format
  • Context, use it before or after the explanation.
  • CUSS- Center, Unusual, shape, spread.
slide7

Find the mean, median, and mode of the following collection.

  • 15, 11, 19, 15, 14, 13, 17, 11, 12, 17, 15, 14, 15
slide8

1. Find the mean, median, mode, and range of the following collection of scores on a test.

  • 32, 72, 81, 95, 98, 58, 77, 75, 83, 97, 45, 89, 93, 57, 82, 97, 52, 75, 79, 78, 99, 98, 54, 75, 85, 61, 55, 86
slide9

Find the first, second, and third quartiles of the collection of data in Exercise 1.

  • 32, 72, 81, 95, 98, 58, 77, 75, 83, 97, 45, 89, 93, 57, 82, 97, 52, 75, 79, 78, 99, 98, 54, 75, 85, 61, 55, 86
with a partner
With a partner
  • Complete #1-3 for the following set of data. The weights (in pounds) of eleven children are as follows: 39, 52, 40, 45, 46, 55, 48, 40, 43, 47, 44
organizing data
Organizing Data
  • At a car dealership, the number of new cars sold in a week by each salesperson was as follows: 5, 8, 2, 0, 2, 4, 7, 4, 1, 1, 2, 2, 0, 1, 2, 0, 1, 3, 3, 2
a construct a frequency distribution for this data
a. Construct a frequency distribution for this data.
  • 5, 8, 2, 0, 2, 4, 7, 4, 1, 1, 2, 2, 0, 1, 2, 0, 1, 3, 3, 2
  • Number, Tally, Frequency
construct a line plot for this data
Construct a line plot for this data
  • 5, 8, 2, 0, 2, 4, 7, 4, 1, 1, 2, 2, 0, 1, 2, 0, 1, 3, 3, 2
construct a bar graph that shows the number of salespeople who sold 0 8 cars
Construct a bar graph that shows the number of salespeople who sold 0-8 cars.
  • 5, 8, 2, 0, 2, 4, 7, 4, 1, 1, 2, 2, 0, 1, 2, 0, 1, 3, 3, 2
construct a frequency distribution and a line plot for this data
Construct a frequency distribution and a line plot for this data.
  • Twenty-eight students in a class were asked how many cars their family owned. The results were as follows:
  • 2, 2, 3, 2, 1, 2, 2, 4, 3, 2, 0, 1, 0, 1, 1, 2, 2, 3, 2, 3, 3, 5, 1, 1, 3, 0, 1, 2
construct a bar graph that shows these results
Construct a bar graph that shows these results
  • Each of the members of a recent high school graduating class was asked to name his/her favorite among these subjects: English, foreign language, history, mathematics, science. The results are shown in the table
  • English 62
  • Foreign Language 40
  • History 40
  • Mathematics 18
  • Science 33
construct a stem and leaf plot for the unordered data
Construct a stem-and-leaf plot for the unordered data
  • 63, 52, 84, 83, 51, 32, 58, 35, 45, 41, 65, 75, 59, 67, 25, 46
  • A stem-and-leaf plot orders data in increasing or decreasing order.
histograms
Histograms
  • 1.Construct and label a horizontal number line that is scaled to contain all of the values of the variable of interest.2. Construct and label a vertical axis so that the greatest frequency can be represented.
  • 3. Construct the bars of equal width that are centered above each value. The heights of the bars represent the frequencies of the values.
construct a stem and leaf plot for the data
Construct a stem-and-leaf plot for the data
  • 15, 59, 66, 42, 48, 23, 70, 81, 35, 51, 68, 29, 77, 92, 85, 16, 37, 59, 61, 76, 40, 25, 86, 11, 34, 52, 16, 22, 89, 55, 47, 39, 27, 42, 46, 51, 24, 69, 78, 91, 90, 65
construct a histogram for the above data
Construct a histogram for the above data.
  • 15, 59, 66, 42, 48, 23, 70, 81, 35, 51, 68, 29, 77, 92, 85, 16, 37, 59, 61, 76, 40, 25, 86, 11, 34, 52, 16, 22, 89, 55, 47, 39, 27, 42, 46, 51, 24, 69, 78, 91, 90, 65
box plot and stem and leaf plot
Box plot and stem and leaf plot
  • Graph a box plot for the following test scores: {90, 80, 96, 54, 80, 95, 100, 75, 87, 62, 65, 85, 92, 87, 74, 89}
  • Draw a stem and leaf plot for the data
write up with context
Write up with Context
  • Explain the shape in the context of the problem! For example, consider a distribution of grades which is skewed to the right and has a median score of 70. Do not write "The distribution is skewed to the right." Instead write "Many students had scores close to 70, but a few students scored much higher."
slide24

The box in a boxplot represents the interquartile range and gives the interval which contains 50% of the observations. 25% of the observations are less than the first quartile, and 25% of the observations are greater than the third quartile.

slide25

at a school field day, 50 students and 50 faculty members each completed an obstacle course. Descriptive statistics for the completion times (in minutes) for the two groups are shown below:

slide26
Task
  • Use the same scale to draw boxplots for the completion times for students and for faculty members.
  • (b)  Write a few sentences comparing the variability of the two distributions.
  • (c)  You have been asked to report on this event for the school newspaper. Write a few sentences describing student and faculty performances in this competition for the paper.
slide27
TASK
  • Five hundred randomly selected middle-aged men and five hundred randomly selected young adult men were rated on a scale from 1 to lO on their physical flexibility, with 10 being the most flexible. Their ratings appear in the frequency table below. For example, 17 middle-aged men had a flexibility rating of 1
slide29

Display these data graphically so that the flexibility of middle-aged men and young adult men can be easily compared.

  • Based on an examination of your graphical display, write a few sentences comparing the flexibility of middle-aged men with the flexibility of young adult men
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