Proportions/
Percents
68-95-99.7 Rule
Z-scores
Practice Questions
100

The percent of people with a weight between 100lbs and 130lbs if the weight of people is normally distributed with μ=200lbs and σ=50lbs.

What is 5.8%

100

The percent of data that falls above the mean

What is 50%

100

The z score of the number of loaves of bread a family eats 51 loaves of bread per year given the data follows the distribution N(35,8)

What is z=2?

100

The IQR range rule

Lower outlier: Q1-(1.5 x IQR)

Upper outlier: Q3+(1.5x IQR)

200

The amount of candy children in Oregon eat each Halloween is normally distributed, N(12,3). How much candy do at least 25% of children eat on Halloween?

what is 9.97 pieces of candy

200

The percent of college students that walk between 8,382 steps and 9,182 steps if the amount of steps taken per day by a college student is normally distributed with μ=8,782 and a σ= 400.

What is 68%

200

The z score of a chameleon with tongue length less than 5 inches if the length of chameleon tongues is normally distributed with μ=6 inches and σ=1 inches

What is z=-1?

200

Area under a density curve

What is 1?

300

The weight of penguins is normally distributed with μ=35 and a σ=2, what proportion of penguins weight more than 36.5 pounds?

 what is .226

300

The percent of data between the 3rd and 2nd standard deviations if the startup time of computers is normally distributed with μ=1 minute andσ=15 seconds

What is 4.7%

300

The z score with 90% of the data below it if the length of snakes is normally distributed with μ=3.3ft and σ=6.6in

What is 1.28?

300

outliers (according to the IQR range rule) for a normally distributed data set with μ=481, Q1=342, Q3=501, and σ=62

What are values 103.5 and less and values 739 and greater?

400

The % of data that is above a z-score of 1.53 if a car length is normally distributed with μ =14.7 σ = 2

What is 6.3%

400

The height of baby penguins follows the distribution N(120cm,8cm). What is the minimum height a penguin must be in order to be in the top .15% of penguin height?

What is 144cm?

400

The z-score of the bottom 30% of the data if the download speed of video games is normally distributed with μ=45mb and σ=10mb.

What is z=-.52?

400

The weight a cow must be to have a z score of -1.9 if the weight of cows is normally distributed with μ=1,600lbs and σ=80lbs.

What is 1448?

500

The average weight of a horse follows the distribution N(1000,50) and the average weight of a cow follows the distribution N(850, 35). If a donkey weighs 906 lbs and a horse weighs 1,062 lbs, which animal is heavier for its species?

What is a donkey?

500

The maximum mileage a car can have to be in the bottom 16% of cars, given the data is normally distributed with μ=1,050 miles and σ=300 miles.

What is 750 miles?

500

The z score of the bottom 45% and top 45% of the data if the height of oak trees is normally distributed with μ=100ft and σ=10ft.

What is -.126 and .126?

500

The weight that a proportion of only .01 of all capybaras are heavier than if the weight of all capybaras are normally distributed with μ=125lb and σ=13lb.

What is 155.29lb?

M
e
n
u