Word Problems
The blood cholesterol readings for a group of women are normally distributed with a mean of 190 mg/dl and a standard deviation of 16 mg/dl. About what percent of the women have readings between 174 and 206? (Hint: use the empirical rule)
What is 68%
Find the median of this data set: 40, 61, 95, 79, 9, 50, 80, 61, 109, 42
What is 61
A measure of how many standard deviations a data point is from the mean.
What is a Z-Score?
This formula is used to find the average of a set of numbers.
What is the Mean Formula?
Ms. Mathison's Three Jobs.
What are long term sub, bev cart girl and photographer?
What is the mean of the data below AFTER the outlier is removed from the set. Round to the nearest hundredth if necessary. 73,85,70,86,75,90,23,74
What is 79.
Given the following data set, find the mean, standard deviation and five number summary:
5, 7, 9, 12, 9, 10, 11, 2, 2, 2, 1, 4, 6, 5, 11, 14
Check my answer
A distribution where the data is not symmetric; it leans left or right.
What is a skewed distribution?
This rule estimates the percentage of data within 1, 2, and 3 standard deviations of the mean in a normal distribution.
What is the empirical rule? (68-95-99.7 rule)
Ms. Mathison's favorite coffee shop that she goes to every single day
What is LOVE Coffee?
The following scores were obtained as part of a sample with x=45, σ=5 and x̄ = 52. Find the z-score and then state what percentage of patients score less than or equal to this patient on the test.
What is .0002 and .02%
The mean is 72 and the standard deviation is 6. What is the z-score of a value of 84?
What is 2?
A measure of how spread out the numbers in a data set are from the mean.
What is standard deviation?
This formula is used to calculate how far a data point is from the mean in standard deviation units. (x − μ) ÷ σ)
What is the z-score formula?
Ms. Mathison graduated from Lee's Summit West in this year.
What is 2019?
The heights of adult Americans are approximately normally distributed with a mean of 69.5 inches and a standard deviation of 2.5 inches. What percent of adult males are between 67 and 74.5 inches tall?
What is 81.9%
A value is 2 standard deviations below the mean of 100. The standard deviation is 8. What is the value?
What is 84? (100 - 8(2))
A symmetric, bell-shaped curve that represents data where most values cluster around the mean.
What is a normal distribution?
This formula calculates the difference between the first quartile (Q1) and the third quartile (Q3) in a data set.
What is the Interquartile Range?
Ms. Mathison went to this college.
What is Mizzou?
National results for the SAT test show that in 2022 the average composite SAT score was 530 and the standard deviation was 80. (use the empirical rule for this one and draw a bell curve)
A) What percent of test-takers have scores between 530 and 690?
B) What is the approximate probability that a randomly selected test taker has a score greater than 690?
The mean of a data set is 60 and the standard deviation is 4. A value has a z-score of −2.5. What is the original value?
What is 50?
A rule stating that in a normal distribution, about 68% of values fall within 1 standard deviation, 95% within 2, and 99.7% within 3.
What is the Empirical Rule?
This term describes the concept where data is heavily concentrated on one side of the mean, leading to an asymmetrical distribution. Either left or right.
What is left-skewed and right-skewed?
Ms. Mathison's favorite teacher when she went to LSW.
What is Ms. Thompson?