Answered: FYI: This question is for a Psychology 226 course, Statistical Methods in Psychology You are told that the following data represents the weight, in pounds, of…

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

See similar textbooks

Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

Practice Pack

Question

100%

Practice Pack

FYI: This question is for a Psychology 226 course, Statistical Methods in Psychology

You are told that the following data represents the weight, in pounds, of 3rd grade students: 67,
81, 59, 77, 72, 70, 69, 62, 54, 60, 58, 69.

find the median

find the mean

find the iqr

State shape of distribution based on your measures of central tendency

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.

Expert Solution

Step 1

Note: Since you have posted a question with multiple subparts, we will solve the first three subparts for you. To get the remaining subparts solved, please repost the complete question and mention the subparts to be solved.

You are told that the following data represents the weight, in pounds, of 3rd grade students: 67,
81, 59, 77, 72, 70, 69, 62, 54, 60, 58, 69.

To find the median, we need to arrange the data an ascending order.

54,58,59,60,62,67,69,69,70,72,77,81

Here, N=12.

so, median(Q₂) = $\frac{1}{2} (\frac{N^{t h}}{2} + (\frac{N^{t h}}{2} + 1)) o b s e r v a t i o n$

= $\frac{1}{2} (\frac{12}{2} + (\frac{12}{2} + 1)) o b s e r v a t i o n$

= $\frac{1}{2}$ (6^th+7^th) observation.

=0.5*(67+69)

=68

Better your learning with

Practice Pack

Learn your wayIncludes step-by-step video

Step by stepSolved in 2 steps

See solution

Check out a sample Q&A here

Knowledge Booster

$Statistics$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Related questions

Concept explainers