Question

Find the mean, median, and mode of the following dataset. You should answer using two decimal places based on APA style requirements. For example, a mean of 3.60171 should be written as 3.60, a mode of 1 should be written as 1.00, and a median of 2.5 should be written as 2.50. Dataset: [3, 3, 5, 5, 3, 2, 2, 1, 3, 2]

Answer 1

In the dataset [3, 3, 5, 5, 3, 2, 2, 1, 3, 2], the mean (average) is 2.90, the median (middle number) is 2.50, and the mode (most frequently occurring number) is 3.00.

Step-by-step explanation:

The subject of your question is Mathematics, specifically Statistics as it deals with calculation of mean, median, and mode of a dataset. The dataset presented in the question is [3, 3, 5, 5, 3, 2, 2, 1, 3, 2]. To calculate, you must first understand what each term means: the mean is the average of all the numbers in the data set, the median is the middle number of a sorted data set, and the mode is the most frequently occurring number.

First, add all the numbers in the dataset and divide by the number of entries to get the mean. The total for your dataset is 29 and there are 10 numbers, therefore, the mean is 2.90. Second, arrange the numbers in order and identify the middle number for the median. In your case, the numbers in order are [1, 2, 2, 2, 3, 3, 3, 3, 5, 5]. Since there is an even number of entries, you must take average of the two middle numbers. Third, the mode is the number that appears most frequently in the dataset, which in this case is 3.00. Therefore, the mean is 2.90, median is 2.50, and the mode is 3.00.

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