Solve the problem and draw the normal curve with the shaded region representing the given scenario in the problem. Explicitly write your solution and state & highlight your final answer at the end. You have just received your score in a mathematics aptitude test. Given your score was 82 and the mean score on the test was 73 with a standard deviation of 5. Assume that the test scores are normally distributed. a. Find the median and the mode, and compare it with the given mean value. b. Determine the intervals within 1, 2 and 3 standard deviations from the mean, that is, the µ ± 10, µ ± 20, μ ± 30

Solve the problem and draw the normal curve with the shaded region representing the given scenario in the problem. Explicitly write your solution and state & highlight your final answer at the end. You have just received your score in a mathematics aptitude test. Given your score was 82 and the mean score on the test was 73 with a standard deviation of 5. Assume that the test scores are normally distributed. a. Find the median and the mode, and compare it with the given mean value. b. Determine the intervals within 1, 2 and 3 standard deviations from the mean, that is, the µ ± 10, µ ± 20, μ ± 30

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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Question

Solve the problem and draw the normal curve with the shaded region representing the given scenario in the problem. Explicitly write your solution and state & highlight your final answer at the end.

You have just received your score in a mathematics aptitude test. Given your score was 82 and the mean score on the test was 73 with a standard deviation of 5. Assume that the test scores are normally distributed.

a. Find the median and the mode, and compare it with the given mean value.

b. Determine the intervals within 1, 2 and 3 standard deviations from the mean, that is, the µ ± 10, µ ± 20, μ ± 30.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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