Summative 2.1-2.3

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.

Tags

CCSS.HSS.IC.B.4

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

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

Tags

CCSS.HSS.ID.A.4

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.

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

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

Tags

CCSS.HSS.ID.A.4

The top competitor to We’re All Nuts, Inc. is URnuts.com. URnuts.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?

Tags

CCSS.HSS.ID.A.4

 Estimate and interpret the median. Show your work by drawing lines on the cumulative relative frequency graph above.

Estimate the IQR. Show your work by drawing lines on the cumulative relative frequency graph above.

Tags

CCSS.HSS.IC.B.4

At what percentile was American Emily Infeld, with a time of 31.45 minutes? Interpret Emily’s percentile.

Tags

CCSS.HSS.IC.B.4