In a standardized exam the mean score is 400 with a standard deviation of 50. Assume the scores follow a normal distribution. What score marks the 50th percentile of the distribution ?

The scores on a test are normally distributed, with a mean of 82 and standard deviation of 5. What percent of scores are between 72 and 92? Explain your answer.

Americans love ice cream .The annual per capita consumption of ice cream ,in pounds ,in the united states can be approximately by a normal distribution with mean 16.5 lbs and standard deviation 2.5 lbs  what percent of Americans eat less than 14 lbs of ice cream each year ?

The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances that someone is earning more than $20 an hour?

How is standard deviation a measure of distance?

Many students did an exam, the mean was 15 and the standard deviation was 32 The highest mark was X= 103, What is the zscore of the highest mark?

The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words per minute and a standard deviation of 24 words per minute.  What is the reading speed of a sixth-grader whose reading speed is at the 80th percentile?

Explain what would happen if Person A scored lower than the mean of 70. Give an example exam score for that and calculate how many standard deviations Person A is above or below the mean

Pearson publishes textbooks each semester and the mean number of textbook pages published by Pearson for 2020 is 568 with a standard deviation of 150 pages.  What is the chance you will have to read a textbook published by Pearson in 2020 that has more than 733 pages? Write your answer as a percent.

What percentage of the widget Weights lie between 55 and 79 ounces when the mean is 61 and the standard deviation is 6 ?