2.1 Percentiles, Z-Scores & Linear Transformations

How many years did Barry Bonds have 40 home runs or fewer?

• 15

• 14

• 40

• 21

Rounded to the nearest percent, what is the percentile for Barry Bonds hitting 40 home runs in a year? (His total number of years recorded is 22)

• 64th percentile

• 68th percentile

• 91st percentile

• 55th percentile

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

How many years did Hank Aaron have 40 or fewer home runs?

• 16

• 15

• 17

• 40

Tags

CCSS.6.SP.B.5C

Rounded to the nearest percent, what is the percentile for Hank Aaron hitting 40 home runs in a year? (His total number of years is 23)

• 65th percentile

• 70th percentile

• 77th percentile

• 74th percentile

Jenny's standardized score is 0.99 and is positive. Did Jenny score 0.99 standard deviations ABOVE the mean or BELOW the mean?

• Above

• Below

TRUE or FALSE: A positive z-score will always indicate that an observation is ABOVE the mean.

• True

• False

Answer explanation

A negative z-score indicates an observation that is below the mean, and a positive z-score indicates an observation that is above the mean.

Tags

CCSS.6.SP.B.5C

To the ten-thousandths (4 decimal places), what is the mean of this distribution?

(a)  

Tags

CCSS.6.SP.B.5C

What is the median of this distribution?

(a)  

Tags

CCSS.6.SP.B.5C

What is the IQR of this distribution?

(a)  

Rounded to the ten thousandths (4 decimal places), what is the Standard Deviation of this distribution? (Use the formula for SAMPLE standard deviation)

(a)