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}

Fill in the Blanks

For data set L, what would you type into desmos calculate the five-point number summary to then calculate the IQR?

Fill in the Blanks

For data set L, what would you type into desmos calculate the mean absolute deviation?

Fill in the Blanks

For data set L, what would you type into desmos calculate the standard deviation?

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)