1.5 - Measures of Center and Spread

Multiple Choice

Which measure of central tendency best represents this data?

• Mean

• Median

• Mode

• Range

Multiple Choice

Given the dot plot's shape, what measure of center should be used?

• Mean

• Median

• Standard Deviation

• IQR

Multiple Choice

Which of the distributions shows HIGH VARIABILITY?

• Left graph

  (small standard deviation)

• Right graph

  (large standard deviation)

Multiple Choice

Which of the distributions shows LOW VARIABILITY?

• Left graph

  (small standard deviation)

• Right graph

  (large standard deviation)

Multiple Choice

What is the interquartile range (IQR)?

• 4
• 64
• 60
• 8

Multiple Choice

Find the median, first quartile, third quartile, and interquartile range of the data.

23, 33, 25, 16, 27, 43, 29, 40, 35

• Median: 29

  First Quartile: 24

  Third Quartile: 37.5

  IQR: 13.5

• Median: 27

  First Quartile: 25

  Third Quartile: 35

  IQR: 10

• Median: 29

  First Quartile: 25

  Third Quartile: 37.5

  IQR: 12.5

• Median: 27

  First Quartile: 24

  Third Quartile: 35

  IQR: 11

Multiple Choice

Which IQ test showed the MOST consistent results?

• Verbal

• Math

• Spatial

Multiple Choice

Which IQ test showed the LEAST consistent results?

• Verbal

• Math

• Spatial

Describes how data is arranged in a symmetric distribution based on values of the mean and standard deviation. ​

​

​Some text here about the topic of discussion.

The Empirical Rule

​

Multiple Choice

According to the empirical rule, what percentage of data falls within 1 standard deviation? 

• 25%
• 68%
• 95%
• 99.7%

Multiple Choice

According to the empirical rule, how much of the data falls within 3 standard deviations? 

• 25%
• 68%
• 95%
• 99.7%

Multiple Choice

What is the Normal Range (68%) of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?

• 26-32
• 3-29
• 26-29
• 39-32

Multiple Choice

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What is the GPA of the highest 2.5% of the students?

• 4.1 
• 4.1 or higher
• 4.7
• 4.5 or higher

Multiple Choice

Which of the following is the correct way to enter a data set into desmos?

• L=(11,15,23,22,16,12)

• L={11,15,23,22,16,12}

• L=[11,15,23,22,16,12]

• L{11,15,23,22,16,12}

Multiple Choice

What is the standard deviation for the data given:

{5, 10, 7, 12, 0, 20, 15, 22, 8, 2}

• 6.89

• 10.1

• 7.26

• 9

Poll

Learning Target 1.5A: I can compute measures of center (mean, median) and variability (IQR, MAD, SD).  

• I GOT THIS!

  (Professional)

• Feeling pretty good

  (Practitioner)

• Getting there but need more help

  (Apprentice)

• Still lost

  (Novice)

Poll

Learning Target 1.5B: I can say something about a data set using measures of center and variability. 

• I GOT THIS!

  (Professional)

• Feeling pretty good

  (Practitioner)

• Getting there but need more help

  (Apprentice)

• Still lost

  (Novice)

Poll

Learning Target 1.5C: I can compute statistics using technology tools.

(particularly Desmos or TI-84 Calculator)

• I GOT THIS!

  (Professional)

• Feeling pretty good

  (Practicioner)

• Getting there but need more help

  (Apprentice)

• Still lost

  (Novice)