Descriptive Statistics Data Analysis

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1 Learning Data Set Chi-Squared Margarita Flores PSY 301: Statistics for the Behavioral and Social Sciences Dr. Reyes-Fournier December 7th, 2023

2 Learning Data Set Excel Data Set Introduction When analyzing data, it is important to determine the most appropriate measure of central tendency to represent the distribution accurately. In the given dataset of new items sold at a bakery over 20 days, the values are as follows: 1, 2, 3, 4, 6, 7, 8, 8, 8, 9, 10, 11, 12, 13, 16, 18,

3 Learning Data Set 22, 24, 26, and 30. In order to determine the best measure of central tendency, we will consider three common options: the mean, the median, and the mode. The selection of the best measure ultimately depends on the specific context, purpose, and the researcher's goals. Methods of Central Tendency The mean provides a measure of the average value of the dataset. In this specific dataset, the mean is 11.9, which may be a good measure to understand the average number of new items sold at the bakery over the given 20-day period. If the goal is to represent the typical number of new items sold at the bakery over the 20-day period, then the mean of 11.9 would be the most appropriate measure. This would provide an overall average value, taking into account all the items sold (Tanner, 2016). However, it is also important to consider the median, which represents the middle value of a dataset when sorted in ascending or descending order (Tanner, 2016). If there is an even number of data points, the median is calculated by taking the average of the two middle values. In this case, when sorted in ascending order, the median is 9 . 5, as there are ten values below it and ten values above it. The median is useful when the dataset contains outliers or extreme values, as it is less affected by these extreme points. Given the dataset of new items sold at the bakery, there is no one "correct" measure of central tendency. Each measure has its own advantages and should be selected based on the precise circumstances and perseverance

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