The normal curve and the empirical rule
Grade 11 Math Worksheet
Circle the best answer, or write your answer on the line.
Pia's class times a bike ride. The times are roughly normal, with mean 50 minutes and SD 6 minutes. What percent of the times are between 44 and 62 minutes?
Ren studies scores on a class puzzle test. The scores are roughly normal, with mean 100 points and SD 15 points. What percent of the scores are above 130 points?
Tala times how long the class's ice cubes take to melt. The times are roughly normal, with mean 12 minutes and SD 1.5 minutes. What percent of the times are below 10.5 minutes?
Zee measures the lengths of the class's paper chains. The lengths are roughly normal, with mean 40 cm and SD 4 cm. What percent of the lengths are between 40 and 48 cm?
Ari helps a farm weigh 400 apples. The weights are roughly normal, with mean 150 g and SD 10 g. About how many of the apples are between 140 and 160 g?
Bo's school records 200 students' jumps. They are roughly normal, with mean 150 cm and SD 20 cm. About how many of the jumps are above 190 cm?
Jun checks 500 bottles from a filling machine. The amounts are roughly normal, with mean 500 mL and SD 4 mL. About how many of the bottles are below 496 mL?
Kira's dot plot of wait times at the lunch line has most dots at 2 to 4 minutes and a long tail out to 15 minutes. Which describes the shape?
- Skewed right: the long tail is on the right
- Skewed left: the peak is on the left
- Symmetric: it has one peak and looks balanced
Luz's dot plot of class quiz scores has most dots at 85 to 95 points and a long tail down to 40 points. Which describes the shape?
- Skewed right: the peak is on the right
- Symmetric: it has one peak, so it looks balanced
- Skewed left: the long tail is on the left
Noah's dot plot of test scores is skewed left: most scores are high, and a few are far lower. How do the mean and median compare?
- The mean and median are equal
- The mean is greater than the median
- The mean is less than the median