Lecture 9.3 - Descriptive Stats

Lecture 9.3 - Descriptive Stats

G

Univariate Data

→ data with one variable such as test scores

→ four ways to measure univariate data

• mean - "the average" or the sum of numbers divided by the amount of numbers

• median - the middle positioned number in ascending order

• mode - the most common number

• range​ - smallest number subtracted from the largest

​

Don't you love one less variable?

Multiple Choice

________________ data is data that deals with two variables.

• Univariate

• Bivariate

• Categorical

• Quantitative

Multiple Choice

________________ data is data that deals with one variable.

• Univariate

• Bivariate

• Categorical

• Quantitative

Multiple Choice

Is the following situation an example of univariate or bivariate data; Icy-pops sold and the temperature of the day recorded by a shopkeeper.

• Univariate Data

• Bivariate Data

Multiple Choice

Is the following situation an example of univariate or bivariate data;Which artists sold the most records this year?

• Univariate Data

• Bivariate Data

Multiple Choice

Is the following situation an example of univariate or bivariate data;The amount of calories someone burns and the hours they exercise.

• Univariate Data

• Bivariate Data

Multiple Choice

Is the following situation an example of univariate or bivariate data;Which sport is most popular in Floral Park Memorial High school?

• Univariate Data

• Bivariate Data

Multiple Choice

Mean:
1   2   3   4   5   6

• 2.5
• 3
• 3.5
• 4

Multiple Choice

Median:
0   1   2   3   4

• 1
• 2
• 3
• 4

Multiple Choice

Mode:
0   1   1   2   3   4

• 1
• 2
• 3
• 4

Multiple Choice

Range:
67, 74, 95, 98, 98, 99, 102

• 102
• 67
• 98
• 35

Multiple Choice

Mean:
67, 74, 95, 98, 98, 99, 102

• 90.4
• 633
• 98
• 92.3

Multiple Choice

Median:
67, 74, 95, 98, 98, 99, 102

• 102
• 67
• 98
• 90.4

Multiple Choice

Mode:
67, 74, 95, 98, 98, 99, 102

• 90.4
• 35
• 92
• 98

Multiple Choice

Range:
10   12   13   15   16.5

• 6.5
• 13
• 66.5
• 13.3

Five Number Summary

→ used to summarize quantitative data or data with numbers

1. minimum - smallest number

2. maximum - largest number

3. median - the middle

4. quartiIe 1 (Q1) - middle of the lower half of numbers

5. quartile 3 (Q3) - middle of the upper half of numbers​

​

​

It's like a $5 foot long, but better because it's math

Multiple Choice

Which of the following lists all parts of the five number summary?

• Mean, Median, Mode, Range, and Total
• Minimum, Quartile 1, Median, Quartile 3, and Maximum 
• Smallest, Q1, Q2, Q3, and Q4
• Minimum, Maximum, Range, Mean, and Median

Multiple Choice

What is the minimum of the data set: 2, 7, 8, 3, 9, 8, 12

• 3

• 2

• 12

• 0

Multiple Choice

What is the maximum of the data set; 2, 7, 8, 3, 9, 8, 12

• 2

• 9

• 18

• 12

Multiple Choice

What is the median (2nd Quartile) of this data set:

2, 7, 8, 3, 9, 8, 12

• 3

• 8

• 9

• none

Multiple Choice

What is the the 1st Quartile of the data set: 2, 7, 8, 3, 9, 8, 12

• 3

• 8

• 2

• 12

Multiple Choice

What is the 3rd Quartile of the data set: 2, 7, 8, 3, 9, 8, 12

• 3

• 7

• 9

• 12

→ a visual to represent the five number summary

​​

​→ IQR: interquartile range

"the box"​ = Q3 - Q1​

Box plots can be graphed vertically, but the visual aesthetic of horizontal is just so peaceful. That's just me.

Box Plots

Multiple Choice

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is Roger's median score?

• 127
• 155
• 156
• 193

Multiple Choice

What is the median of the data?

• 200
• 100
• 90
• 140

Multiple Choice

What is the maximum value?

• 58
• 66
• 64
• 60

Multiple Choice

What is the minimum value?

• 64
• 58
• 66
• 60

Multiple Choice

50% of the Cruisers attended between 7 and 16 car shows.  True or False?

• True
• False

Multiple Choice

What is the IQR of the Car Hops?

• 4
• 6

Multiple Choice

What is the interquartile range?

• 4
• 6
• 2
• 8

Multiple Choice

Which restaurant has a higher median wait time?

• Lucy's Steakhouse
• Gary's Grill
• They are the same

Multiple Choice

What data value is the upper quartile (Q3)?

• 64
• 62
• 66
• 58

Multiple Choice

What value is the lower quartile?

• 66
• 58
• 60
• 64

Draw

Represent the univariate data set as a box plot:

24, 31, 31, 35, 38, 44, 45, 45, 48, 51, 55, 56

Provide a 5 number summary within the graph!

Draw

Represent the univariate data set as a box plot:

12, 15, 16, 20, 22, 25, 29, 30, 31

Provide a 5 number summary within the graph!