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10th Edition

Frederick J Gravetter + 1 other

Publisher: Cengage Learning

ISBN: 9781305504912

Chapter 3, Problem 1P

Textbook Problem

Find the mean, median, and mode for the following

sample of scores:

4, 5, 2, 7, 1, 3, 5

Expert Solution

To determine

Find the mean, median and mode for the given sample of scores.

**Solution:**

**Given:**

The sample of scores:

5, 4, 5, 2, 7, 1, 3, 5

Here

**Formula used:**

**Calculations:**

To find mean, add all scores and divide the sum by number of scores in the sample.

To find median, first arrange data in ascending order as shown below and then find the middle score.

1 | 2 | 3 | 4 | 5 | 5 | 5 | 7 |

For eight scores, the median would be average of

The mode is most occurred score in the sample. In this sample, 5 occurred most of the times. Therefore:

The mean is the average of scores. To find mean, add all scores and divide the sum by number of scores in the sample.

The median is the middle most score (in case when *n *is odd) or average of two middle scores (in case when *n *is even) when data is arranged from the smallest to the largest score.

**Case 1:**

When *n *is odd:

**Case 2:**

When *n *is even:

The mode is most occurred score in the sample. There can be more than one mode.

**Conclusion:**

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Ch. 3 - Find the mean, median, and mode for the following...Ch. 3 - Find the mean, median, and mode for the following...Ch. 3 - Find the mean, median, and mode for the scores in...Ch. 3 - Find the mean, median, and mode for the scores in...Ch. 3 - For the following sample of n = 10 scores: a....Ch. 3 - A population of N = 15 scores has SX = 120. What...Ch. 3 - A sample of n = 8 scores has a mean of M = 12....Ch. 3 - A population with a mean of = 8 has SX = 40. How...Ch. 3 - One sample of n = 12 scores has a mean of M = 7...Ch. 3 - One sample has a mean of M = 8 and a second sample...

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