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Summative 2.1-2.3

Authored by Armina Wrice

Mathematics

12th Grade

CCSS covered

Used 4+ times

Summative 2.1-2.3
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42 questions

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1.

OPEN ENDED QUESTION

3 mins • 2 pts

Molly Huddle, the fastest American in the race, broke the American record with a time of 30.22 minutes. Find and interpret Molly’s percentile.

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Tags

CCSS.HSS.IC.B.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Marielle Hall, another American in the race, had a time that was at the 91st percentile. What was her time?

29.71 min

29.99 min

32.65 min

32.66 min

Tags

CCSS.HSS.ID.A.4

3.

OPEN ENDED QUESTION

3 mins • 2 pts

Media Image

The winner and world record breaker of the race was Almaz Ayana from Ethiopia. Find her z-score and interpret it in context.

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Tags

CCSS.HSS.ID.A.4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A homeowner was reading through a summary of his electric usage for the previous year. Typical high temperatures for each month were included in the summary and the teacher became curious about the distribution of those temperatures. Here are the data (measured in degrees Fahrenheit):

22 31 42 48 52 64 64 71 78 79 80 81

Which of the following is the correct calculation and interpretation of a percentile?

The month in which the typical high temperature was 48 degrees is at about the 25th percentile. This means that this month’s typical high temperature was less than about 25% of all months.

The month in which the typical high temperature was 79 degrees is at about the 16th percentile. This means that about 16% of the time the high temperature will be about 79 degrees.

The month in which the typical high temperature was 31 degrees is about at the 8th percentile. This means that about 8% of the time, the typical high temperature will be similar for this same month in the future.

The month in which the typical high temperature was 71 degrees is at about the 58th percentile. This means that this month’s typical high temperature was greater than about 58% of the other months.

5.

OPEN ENDED QUESTION

3 mins • 2 pts

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One of the bags of nuts weighed 15.1 ounces. Find the percentile for this bag of nuts. Interpret this value..

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

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Calculate and interpret the standardized score for the bag of nuts that weighed 15.5 ounces.

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Tags

CCSS.HSS.ID.A.4

7.

OPEN ENDED QUESTION

3 mins • 2 pts

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The top competitor to We’re All Nuts, Inc. is URnuts.comURnuts.com sells bags of mixed nuts that have a mean weight of 2 pounds and standard deviation 0.25 pounds. A customer purchased one bag of nuts from URnuts.com and found that it weighed 2.4 pounds.

Which bag of nuts has the more extreme weight, relatively speaking: A 15.5-ounce bag from We’re All Nuts or a 2.4-pound bag of nuts from URnuts.com?

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Tags

CCSS.HSS.ID.A.4

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