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The mean exam score for the first group of twenty examinees applying for a security
job is 35.3 with a standard deviation of 3.6.
The mean exam score for the second group of twenty examinees is 34.1 with a
standard deviation of 0.5. Both distributions are close to symmetric in shape.
a. Use the mean and standard deviation to compare the scores of the two groups.
b. The minimum score required to get an in-person interview is 33. Which group
do you think has more people get in-person interviews?

The Mean Exam Score For The First Group Of Twenty Examinees Applying For A Security Job Is 353 With A Standard Deviation Of 36 The Mean Exam Score For The Secon class=

Sagot :

The mean exam score of the first group is [tex]35.3[/tex]

The mean exam score for the second group is [tex]34.1[/tex]

but [tex]35.3[/tex] is greater than [tex]34.1[/tex]

Standard deviation of the first group is [tex]3.6[/tex]

Standard deviation of the second group is [tex]0.5[/tex]

but [tex]3.6[/tex] is greater than [tex]0.5[/tex].

(a) We can draw a conclusion that the score of the second group is more evenly distributed.

(b) The second group has more people get in - person interviews because  [tex]3.6\geq 0.6[/tex], so the scores of the exam for the second group are all close to 34.1. On the contrary, the score of exams for the first group is extreme polarization.

  • Mean: The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

  • Standard deviation: The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a database is in relation to its mean.

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