Illustrative Math - Algebra 2 - Unit 7 - Lesson 7

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Illustrative Math - Algebra 2 - Unit 7 - Lesson 7

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When Lin drives a golf ball, it travels a mean distance of 200 yards with a standard deviation of 20 yards, and the distribution of lengths is approximately normal. Approximately what percentage of her shots will travel less than 180 yards?

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A distribution is approximately normal with a mean of 18 and a standard deviation of 4. Match the interval with the approximate percentage of data that falls within that interval.

Stavka koja se može prevući		Odgovarajuća stavka
Between 10 and 14		2.5%
Less than 10		13.5%
Greater than 22		16%
Between 18 and 22		34%
Between 10 and 18		47.5%
Between 6 and 30		68%
Between 14 and 22		95%
Between 10 and 26		99.7%

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Tyler looks at this histogram of a distribution with a mean of 6.7 grams and a standard deviation of 1 gram. He claims that approximately 68% of the data is between 5.7 and 7.7 grams. What is the error in his thinking?

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Select all designs which describe an experimental study.

50 students volunteer to drink 2 quarts of water each day for a week. Another 50 students volunteer to drink 2 quarts of a sports drink each day for a week. Each day students record the number of hours they sleep.

100 students taking chemistry are randomly selected. 50 of the students have their arm length and wrist cicrumference measured. The other 50 students have their foot length and head circumference measured. The ratio of arm length to wrist circumference and foot length to head circumference are recorded.

50 athletes are asked if they stretch before practice. A different group of 50 athletes are asked if they drink more than 2 quarts of water on days they have practice. The results are recorded for both groups.

50 baseball players are selected to wear compression sleeves during practice and games and another 50 players are selected not to wear compression sleeves during practice and games. The number of visits to the athletic trainer is recorded for both groups.

100 randomly selected students are asked if they have their driver's license.

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A normal curve with a mean of 400 and a standard deviation of 50 is shown. Shade the region under the curve within two standard deviations of the mean. How much of the data falls within the shaded region?

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How many data points are presented in the histogram?

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This lesson is from Illustrative Mathematics. Algebra 1, Unit 7, Lesson 7. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/7/7/index.html ; accessed 29/July/2021.

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