The graph illustrates the distribution of test scores taken by College Algebra students. The maximumpossible score on the test was 140, while the mean score was 76 and the standard deviation was 14.3448627690104118Distribution of Test ScoresUse the "Empirical Rule", not a calculator or other technology. Do not round your answers.What is the approximate percentage of students who scored between 48 and 104 on the test?95What is the approximate percentage students who scored between 62 and 90 on the test?6.What is the approximate percentage of students who scored less than 48 on the test?What is the approximate percentage of students who scored between 62 and 76?34

Given that the mean score is 76 and standard deviation is 14. Consider, μ-2σ=76-(14*2) =48 Hence, the score 48 represents the two standards below the mean. From the empirical rule, 95% of the data values lies between the two standard deviations from the mean, 2.5% of the data values below the two standard deviations and 2.5% of the values above the two standard deviations. Therefore, the approximate percentage of students who scored less than 48 on the test is 2.5%.

Math

Statistics

The graph illustrates the distribution of test scores taken by College Algebra 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 90 104 118

The graph illustrates the distribution of test scores taken by College Algebra 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 90 104 118

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

On the past mathematics test, the bottom 20% of students failed to pass the test. The mean for the test was 55 and the standard deviation was 11. what was the passing score
In the Social Psychology course, you receive a score of 77 on the second exam. You are told that the standard deviation of the second exam is 8 and that your score is .75 standard deviations below the mean. a. What is the class mean of the second exam? b. Your friend scored a 70 on the second exam. How many standard deviations below the mean is your friend’s score?
A study was commissioned to find the mean weight of the residents in certain town. The study found the mean weight to be 174 pounds with a margin of error of 7 pounds. Which of the following is a reasonable value for the true mean weight of the residents of the town?
Suppose that the mean score of a class of 34 students was 78. The 17 male students in the class had a mean score of 62. What was the mean score for the 17 female students?
Mario's weekly poker winnings have a mean of $353 and a standard deviation of $67. Last week he won $185. How many standard deviations from the mean is that?
In an Algebra class, the scores on a test are normally distributed. The middle 68% of the scores fall between 71 and 83. What are the mean and standard deviation for this data?
The college board reports that in a recent year, the mean mathematics SAT score was 514, and the standard deviation was 118. A sample of 65 scores is chosen. Find the 98th percentile of the sample mean.
The best male long jumpers for State College since 1973 have averaged a jump of 263.0 inches with a standard deviation of 14.0 inches. The best female long jumpers have averaged 201.2 inches with a standard deviation of 7.7 inches. This year Joey jumped 283 inches and his sister, Carla, jumped 221 inches. Both are State College students. Which athlete had the more impressive performance? Justify your response appropriately, but briefly.
The average on the Math section of the SAT was 500 with a standard deviation of 100. What score must you earn to be in the top 10% of test-takers?
The mean for a data set is 61. The standard deviation is 4, and the z-score is -0.34. Find the raw score. What is the raw score? (Type an integer or a decimal.)
For the following data in the sample: 0, 6, 8, 6, 5 Find the mean and the standard deviation.
A researcher randomly purchases several different kits of a popular building toy. The following table shows the number of pieces in each kit in the sample. Find the mean, the median and the standard deviation of the data. Round your answer to the nearest hundredth, if necessary. 16. Building Toy Pieces 151 36 256 341 341 36 95 287 256 100 161 199