Grade 11 · Math · Algebra 2

11th grade The normal curve and the empirical rule worksheet

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The normal curve and the empirical rule

Grade 11 Math Worksheet - Building Confidence

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Circle the best answer, or write your answer on the line.

Pia's class times a walk around the park. The times are roughly normal, with mean 50 minutes and SD 4 minutes. What percent of the times are between 50 and 54 minutes?
Ren measures the sunflowers in the school garden. The heights are roughly normal, with mean 160 cm and SD 8 cm. What percent of the heights are above 168 cm?
Tala weighs the class's pumpkins. The weights are roughly normal, with mean 70 ounces and SD 5 ounces. What percent of the weights are between 60 and 70 ounces?
Zee times how long the class takes to finish a puzzle. The times are roughly normal, with mean 12 minutes and SD 2 minutes. What percent of the times are below 8 minutes?
Bo weighs bags of rice from a packing machine. The weights are roughly normal, with mean 500 grams and SD 10 grams. What percent of the weights are above 520 grams?
band percents left to right: 0.15, 2.35, 13.5, 34, 34, 13.5, 2.35, 0.15. Esme measures the class's long jumps. The jumps are roughly normal, with mean 75 inches and SD 6 inches. What percent of the jumps are between 69 and 75 inches?
Kira's class scores on a puzzle test are roughly normal, with mean 100 and SD 15. What value marks the top of the middle 95% of the values?
The heights of the bean plants in Luz's class are roughly normal, with mean 64 cm and SD 3 cm. What value marks the bottom of the middle 68% of the values?
The times for Milo's class to run a lap are roughly normal, with mean 20 seconds and SD 2.5 seconds. What value marks the top of the middle 99.7% of the values?
In Noah's class test, the hours a flashlight runs are roughly normal, with mean 8 and SD 0.5. What value marks the bottom of the middle 95% of the values?

11th grade The normal curve and the empirical rule worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

The normal curve and the empirical rule. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can use the 68-95-99.7 rule for percents between, above and below values.
I can find a value from a percent, and an SD from a band.
I can tell a skewed shape from a symmetric one and say where the mean sits.

Standard: S-ID.A.4

Words to know

normal curve: A smooth, symmetric hill: the dot plot smoothed.

empirical rule: 68%, 95%, 99.7% of values within 1, 2, 3 SDs.

half-band: One side of a band: 34, 13.5, 2.35 or 0.15 percent.

tail: The thin end of a curve far from the mean.

skewed right: A long tail to the right; the mean is pulled right.

Common mistakes

Used 68% (or 95%) for only one side of the mean, though that band covers both sides. Draw the curve together and shade each side.

Gave the percent on the wrong side of a value (below for above). Shade the asked part of the curve together first.

Used an amount that covers both sides of the mean (such as the 32% outside 68%) for one side. Split it in half together.

Questions parents ask

What is the most common mistake with the normal curve and the empirical rule?

Used 68% (or 95%) for only one side of the mean, though that band covers both sides. Draw the curve together and shade each side.

Are these 11th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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