Normal Distribution Estimation Worksheets Grade 11

1. log₂(32) - log₂(2) = ?
2. Charlotte's reaction times are normally distributed with μ=272 ms and σ=17 ms. Estimate the percentage of reaction times between 238 ms and 306 ms.
3. Hana is a marine ecologist studying the shell widths of a particular species of limpet found on rocky shores. She measures a large population and finds that the shell widths are normally distributed with a mean of 28 millimeters and a standard deviation of 5 millimeters. Estimate the percentage of limpets in this population that have a shell width greater than 33 millimeters.

…and 5 more problems

1. Olivia is analyzing the reaction times (in milliseconds) of participants in a cognitive test. The reaction times are normally distributed with a mean of 240 milliseconds and a standard deviation of 30 milliseconds. If a participant is selected at random, estimate the percentage of participants whose reaction time is between 210 milliseconds and 270 milliseconds. Use the empirical rule (68-95-99.7 rule) to find your answer.
2. Isabella is analyzing the test scores from a large standardized exam. The scores are normally distributed with a mean of 527 and a standard deviation of 72. She wants to estimate the percentage of all test takers who scored between 455 and 617. Use the normal distribution to estimate this population percentage.
3. Matiu is a marine biologist studying the shell lengths of a specific species of mussel along the coast of New Zealand. He finds that the shell lengths are normally distributed with a mean of 62 millimeters and a standard deviation of 8 millimeters. Estimate the percentage of mussels in the population that have shell lengths between 50 millimeters and 78 millimeters.

…and 4 more problems

1. Hana's reaction times are normally distributed with μ=240 ms and σ=32 ms. Estimate the percentage of reaction times between 208 ms and 272 ms.
2. Charlotte's reaction times are normally distributed with μ=272 ms and σ=17 ms. Estimate the percentage of reaction times greater than 289 ms.
3. Matiu is a botanist studying the heights of a particular species of tree in a large forest. The heights are normally distributed with a mean of 14.2 meters and a standard deviation of 2.6 meters. Estimate the percentage of trees in the forest that are between 11.6 meters and 16.8 meters tall.

…and 4 more problems