percentiles and z-scores

Given the data set: 1, 2, 3, 6, 9, 11, 45, 102, calculate the percentile for the data value 11 in this set.

• 70^th percentile

• 62.5^th percentile

• 72.5^th percentile

• 75^th percentile

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CCSS.6.SP.A.2

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Here are the weights (in pounds) of 10 puppies: 4 4 5 7 8 8 8 10 12 13 What is the percentile of a 5 pound puppy?

• 30th percentile

• 20th percentile

• 70th percentile

• 30th percentile

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CCSS.6.SP.A.2

CCSS.6.SP.B.5

Adam's Z-score on a test is +2.50. What does this mean?

• Adam's score has a 2.5% chance of being better than any other randomly selected score.

• Adam's test score was better than 25% of his peers.

• He scored 2.5 standard deviations above the average.

• He did terrible.

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CCSS.6.SP.A.3

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Joanne's score on a test gives her a Z-score is -1.50. What does this mean?

• Joanne didn't take the test yet.

• Joanne's test score is 1.50 standard deviations below the average test score.

• Joanne did better than 1.50 times her peers.

• Joanne's test score, on average, was 1.5 points lower than the other test scores.

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CCSS.6.SP.A.3

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What is the Z-score for Tina if she got a 31 on the ACT, the mean was 23 and the SD was 4?

• +0.20

• +2.00

• -2.00

• -0.20

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CCSS.HSS.ID.A.4

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.

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CCSS.6.SP.B.5

The 50th percentile is also known as the _______________.

• median

• mean

• mode

• best percentile

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CCSS.6.SP.A.2

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In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. What weight falls at the 50th percentile?

• 1106 pounds

• 1128 pounds

• 1150 pounds

• 1172 pounds

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CCSS.6.SP.A.2

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What shape is the dot plot for SUV's?

• skewed right

• skewed left

• symmetrical

• none of the above

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CCSS.6.SP.A.2

CCSS.6.SP.B.4

What percent of the data is between 25 and 30 on the number line?

• 25%
• `50%
• 75%
• 100%

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CCSS.6.NS.C.6

CCSS.6.SP.A.2

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