2.1 Percentiles and Z-Scores
2.3 The Empirical Rule
2.4 More on Normal Curves
Random
100

What percentile is Q1?

25th percentile

100

_______% of the data is within 1σ of the mean.

68%

100

What is the formula to find the z-score?

100

Who is the most aesthetic teacher at CHS?

Mr. Kim

200

What is the median age?

20

200

_______% of the data is within 2σ of the mean.

95%

200

Find the proportion (percentage):

z < 1.35

91.15%

200

What is Mr. Kim's nickname? (from lesson 2.4)

Big Sexy

300


What age is at the 90th percentile?

21

300

A normal distribution has mean 12 and standard deviation 3. 

What proportion of the distribution lies between 9 and 15?

68%

300

Find the z-score:

The area to the right is 81%.

z = -0.88

300

When is Mr. Kim's prep period?

7th period

400

Students in Mr. Kim's class have a mean of 315 followers on Instagram with a standard deviation of 45 followers. 

What is the z-score of a student who has 423 followers?

z = 2.4

400

The number of pages in a textbook at your school follows an approximately normal distribution, with an average of 650 pages and standard deviation of 30 pages.

What proportion of textbooks have between 560 and 740 pages?

99.7%

400

The number of times students says 6-7 in a day follows an approximately normal distribution
with a mean of 15.3 and standard deviation of 2.4.

What proportion (percentage) of students say 6-7 more than 17 times a day?

23.89%

400

What is the chemical symbol for gold?

Au

500

Students in Mr. Kim's class have a mean of 315 followers on Instagram with a standard deviation of 45 followers. 

The amount of followers a student has is 1.6 standard deviations below the mean. How many followers do they have?

243 followers

500

A group of high school seniors have an average SAT math score of 540 with a standard deviation of 80 points. The scores are approximately normally distributed. 

What percentage of these students scored between 460 and 700 on the SAT math section?

81.5%

500

A sample of 300 high school students were asked how many hours of sleep they get on school nights. The number of hours follows an approximately normal distribution with a mean of 6.7 hours and a standard deviation of 1.1 hours.

How many students slept less than 5.5 hours?

41 students

500

Who was the fourth president of the United States?

James Madison

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