Measures of Location

What is the purpose of z-scores?

• to describe the exact location of a score within a distribution

• to find the mean of the distribution

• to describe the shape of the distribution

• to find the standard deviation of the distribution

Tags

CCSS.HSS.ID.A.4

What is the formula to find the z-score for population?

• 
  

  $z=x-\mu$

• $z=\frac{\sigma-m}{\mu}$

• $\mu=\frac{z}{m}$

• $z=\frac{x-\mu}{\sigma}$

The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean.

• True

• False

Tags

CCSS.HSS.ID.A.4

Find the z-score.

Mean = 40

Standard Deviation: 1.4

x = 42

• 1.43

• 1.28

• -1.4

• 1.24

Tags

CCSS.HSS.ID.A.4

What is the Q3 of this data set?
6, 7, 2, 1, 5, 2, 1, 6

• 5
• 6
• 5.5
• 6.5

Tags

CCSS.7.SP.B.4

Are the score points which divide a distribution into four equal parts

• Measure of Position

• Quartiles

• Deciles

• Percentiles

Are the score points which divide a distribution into ten equal parts

• Measures of Position

• Quartiles

• Deciles

• Percentiles

Are the score points which divide a distribution into one-hundred equal parts

• Measures of Position

• Quartiles

• Deciles

• Percentiles

The Median is also referred to as

• the 25th Percentile

• the 50th Percentile

• the 75th Percentile

• the 100th Percentile

Tags

CCSS.6.SP.A.3

CCSS.6.SP.B.5

Find the 46th percentile of this set of 11 values

22, 5, 12, 16, 31, 25, 30, 39, 32, 33, 18

• 5.06

• 5

• 22

• 25