Chebyshev's Theorem states that for any distribution of numerical data, at leastThe percent of numbers that are less than 50 or more than 110 is at most%.(Round to the nearest hundredth as needed.)1-1/k of the numbers lie within k standard deviations of the mean.In a certain distribution of numbers, the mean is 80, with a standard deviation of6. Use Chebyshev's Theorem to tell what percent of the numbers are less than50 or more than 110.

Answered: Chebyshev's Theorem states that for any…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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# 6- A set of data items is normally distributed with a mean of 90 and a standard deviation of 5. Convert 90 to a z-score.
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1466 and the standard deviation was 315. The test scores of four students selected at random are 1890, 1210, 2200, and 1340. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The Z-score for 1890 is. (Round to two decimal places as needed.).
A distribution has a std deviation of 5. Describe the location of each of the following z score in terms of the position relative to the mean. For example, a z=+1.0 is a location that is 4 points above the mean a. Z=+2.0 b. Z=+.50 с. Z=-2.5 d. Z=-1.50
The graph illustrates the distribution of test scores taken by College Aigebra students. The maximum possible score on the test was 140, while the mean score was 76 and the standard deviation was 14. 34 48 62 76 90 104 Distribution of Test Scores What is the approximate percentage of students who scored between 76 and 90 on the test? What is the approximate percentage of students who scored higher than 104 on the test? What is the appraximate percentage of students who scored higher than 118 on the test? What is the approximate percentage of students who scored between 48 and 104 on the test?
A set of date has a normal distribution with a mean of 100 and a standard deviation of 15. Find the percent of data to the right of 55. (Make sure to include % sign in answer.
A particular hospital's birthweight distribution is discovered to have a mean of 2700 g and a standard deviation of 200 g. Which of the following value ranges can we expect 95 percent of all birthweights at that hospital to fall within? O a. (2400, 3000) O b. (2500, 2900) O c. (2605, 2795) d. (2600, 2800)
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1471 and the standard deviation was 317. The test scores of four students selected at random are 1900,1200,2200,and 1370. Find the z-scores that correspond to each value and determine whether any of the values are unusual.
The scores for a standardized test follow a normal distribution with a mean test score x¯=84, and standard deviationσ=6. What percent of students score below 87? What percent of students score above 95? What percent of students score between 70 and 90? What percent of students score between 95 and 100? What score must a student get higher than to be in the top 10%?
Suppose the distribution of heights of a group of 300 children is normal, with a mean of 150 centimeters and a standard deviation of 12 centimeters. About how many of these children are taller than 162 centimeters? children
2000 freshmen at state university took a biology test. the scores were normally distributed with a mean of 70 and a standard deviation of 5. Use z scores. (1) the percent of students that scored less than 77
By studying the standard deviation fomula, given below, explain why the standard deviation of a set of data will always be greater than or equal to 0. E(x-x)? n-1 O A. The mean, x, will always be greater than or equal to 0. O B. The values of x will always be greater than or equal to 0. OC. The values of x-x will always be greater than or equal to 0.

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