Solution Found!
?For the following sample of n = 10 scores, 6, 5, 4, 3, 3, 3, 2, 2, 2, 1.a. Assume that
Chapter 3, Problem 23(choose chapter or problem)
For the following sample of \(n=10\) scores, \(6,5,4,3,3,3,2,2,2,1\).
a. Assume that the scores are measurements of a discrete variable and find the median.
b. Assume that the scores are measurements of a continuous variable and find the precise median by locating the precise midpoint of the distribution.
Questions & Answers
QUESTION:
For the following sample of \(n=10\) scores, \(6,5,4,3,3,3,2,2,2,1\).
a. Assume that the scores are measurements of a discrete variable and find the median.
b. Assume that the scores are measurements of a continuous variable and find the precise median by locating the precise midpoint of the distribution.
ANSWER:Step 1 of 3
Given that the size of the sample is \(10 \Rightarrow n=10\)
they are 6, 5, 4, 3, 3, 3, 2, 2, 2, 1
The ascending order of the given data is 1, 2, 2, 2, 3, 3, 3, 4, 5, 6
(a) here the number of observations is even so the formula median is given by
\(\begin{array}{l} \mathbf{M}=\frac{5^{\text {th }} \text { term }-(5+1)^{\text {th }} \text { term }}{2} \\ \Rightarrow \frac{3+3}{2}=3 \end{array}\)