untitled

What is the Z-score for Paula if she got 1400 on the SAT, the mean was 1100 and the SD was 275?

• -1.90
• -1.09
• +1.09
• +1.90

If Gonzalo's score is 87, the class average is 82, and the SD is 4, what is Gonzalo's Z-score?

• -1.25
• +1.25
• +1.20
• +1.02

What is the correct formula for finding z-scores?

• $z=\frac{x-\mu}{\sigma}$

• $z=\frac{\mu-x}{\sigma}$

• $S_x=\frac{x-\mu}{\sigma}$

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

• True

• False

So if Tina's Z-score is +2.00 and Paula's Z-score is +1.09, who performed better?

• Tina's performance is farther above the mean so she did better.

• Paula's score is closer to the mean so she did better.

• They both did the same.

The most recent test you took had an average of 80 with a SD of 8 points.

If you got a 96, what is your Z-score?

• -2.00

• -0.75

• +2.00

• +1.13

More practice: At a recent invitational, Emmett threw the shotput 43.5 feet with an invite mean of 41 and a SD of 3.

Reese ran the 800 in 2 minutes, 1 second with the mean being 2 minutes 46 seconds and SD of 15 seconds.

What were their Z-scores and who performed better?

• Emmett's Z-score was +0.83, Reese's was -3.00. Emmett did better because his Z-score is higher.

• Emmett's Z-score was +0.83, Reese's was -3.00 but Reese did better because in track, lower times are better to have

• Not enough information

Kellogg's cereal has an average of 7.6 g of sugar with an SD of 4.5g.

What is the Z-score of Frosted Flakes if it has 11g sugar?

• +0.76

• -0.74

• +0.68

• +0.28

Crispix has 3g of sugar. What is the z-score? (mean = 7.6, SD = 4.5)

• +1.02

• -1.02

• -0.76

• +0.76

On the same test, your best friend got a 76. (Mean = 80, SD = 8)

What's her Z-score?

• 0.50

• -0.50

• -0.95

• +0.95