Real-Life Applications of the Normal Distribution Statistics Statistical Distributions Real-Life Applications of the Normal Distribution Questions Assume that IQ scores are normally distributed, with a mean #mu# of 100 and standard deviation #sigma# of 15. What is the probability that a randomly selected person has an IQ score greater than 120? Assume that IQ scores are normally distributed, with a mean #mu# of 100 and standard deviation #sigma# of 15. What is the probability that a randomly selected person has an IQ score between 105 and 110? Assume that IQ scores are normally distributed, with a mean #mu# of 100 and standard deviation #sigma# of 15. What is the IQ score that separates the IQ scores of the lowest 25% from the rest? A market research company employs a large number of typists to enter data into a computer. The time it takes for new typists to learn the computer system is known to have a normal distribution with a mean of 90 minutes and a standard deviation of 18 minutes. What is the proportion of new typists who take more than two hours to learn the computer system? The distribution of weights of items produced by a manufacturing process can be approximated by a normal distribution with a mean of 90 grams and a standard deviation of 1 gram. Using the empirical rule, what percentage of the items will either weigh less than 88 grams or more than 92 grams? Zack takes the SAT and his best friend Nick takes the ACT. Zack’s SAT math score is 680, and Nick’s ACT math score is 27. SAT math scores in the county are normally distributed, with a mean of 500 and a standard deviation of 100. ACT math scores in the county are also normally distributed, with a mean of 18 and a standard deviation of 6. Assuming that both tests measure the same kind of ability, who has scored better? The Interquartile Range (IQR) for a set of normally distributed data with mean µ = 80 is 12. What is the approximate value of σ ? How does the normal distribution relate to the real world? The length of pregnancies varies according to a distribution that is approximately Normal with mean 266 days and standard deviation 16 days. What's the probability that the average pregnancy length for 6 randomly chosen women exceeds 270 days? Is there is any application of binomial distribution in our practical life? Question #26011 Question #93f14 Statistical Distributions View all chapters Uniform Distribution The Standard Normal Distribution Real-Life Applications of the Normal Distribution Assessing Normality Prev Next