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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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You are given the following observations: 41, 86, 53, 61, 77, 48, 69, 81, 74, 63, 48, 50, 59, 64. Answer the following:

a) Calculate the median

b) Calculate the mean

c) Calculate the IQR

d) Calculate the standard deviation

e) Where would a small minority of scores be found (make sure to state actual scores)

f) Where would a score of 60 be found?

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case you require the unanswered parts also, kindly re-post that parts separately.

Arrange the given values in ascending order:

41, 48, 48, 50, 53, 59, 61, 63, 64, 69, 74, 77, 81, 86.

Here, the sample size is 14.

That is, n=14(Even)

$M e d i a n = \frac{\frac{n}{2} t h t e r m + (\frac{n}{2} + 1) t h e t e r m}{2} = \frac{7 t h t e r m + 8 t h t e r m}{2} = \frac{61 + 63}{2} = 62$

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