Determine the medians and interquartile ranges for the hypothetical test scores shown in each of the dot plots of Figure 15.14. Each dot plot has 28 pieces of data. Use the medians and interquartile ranges to discuss and compare the results on the two tests ### Analyzing Dot Plots for Medians and Interquartile Ranges**11. Determine the medians and interquartile ranges for the hypothetical test scores shown in each of the dot plots in Figure 15.14. Each dot plot has 28 pieces of data. Use the medians and interquartile ranges to discuss and compare the results on the two tests.**#### Description of Figure 15.14Figure 15.14 consists of two dot plots, each representing a set of hypothetical test scores. Both plots contain 28 data points.- **First Dot Plot:** - The x-axis ranges from 0 to 10. - The distribution shows a symmetric shape with most data points centered around 5. - The plot peaks at a score of 5, with a gradual decrease in frequency as you move toward the edges (0 and 10).- **Second Dot Plot:** - The x-axis again ranges from 0 to 10. - The distribution shows a similar symmetric pattern but is slightly different in spread compared to the first plot. - This plot also peaks at around mid-range scores (5-6), with a similar gradual decrease as you move to scores 0 and 10.#### Instructions- Identify the median score for each test by finding the middle value of the ordered list of scores.- Determine the interquartile range (IQR) by finding the difference between the first quartile (Q1) and the third quartile (Q3). The medians and interquartile ranges will help in understanding the central tendency and spread of the scores, allowing comparison between the two test results. This can reveal insights into consistency and variability in performance.

Median is the measure of central tendency. It is common known as the middle value of the data set.…

Answered: Determine the medians and interquartile…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Determine the medians and interquartile ranges for the hypothetical test scores shown in each of the dot plots of Figure 15.14. Each dot plot has 28 pieces of data. Use the medians and interquartile ranges to discuss and compare the results on the two tests

### Analyzing Dot Plots for Medians and Interquartile Ranges

**11. Determine the medians and interquartile ranges for the hypothetical test scores shown in each of the dot plots in Figure 15.14. Each dot plot has 28 pieces of data. Use the medians and interquartile ranges to discuss and compare the results on the two tests.**

#### Description of Figure 15.14

Figure 15.14 consists of two dot plots, each representing a set of hypothetical test scores. Both plots contain 28 data points.

- **First Dot Plot:**
- The x-axis ranges from 0 to 10.
- The distribution shows a symmetric shape with most data points centered around 5.
- The plot peaks at a score of 5, with a gradual decrease in frequency as you move toward the edges (0 and 10).

- **Second Dot Plot:**
- The x-axis again ranges from 0 to 10.
- The distribution shows a similar symmetric pattern but is slightly different in spread compared to the first plot.
- This plot also peaks at around mid-range scores (5-6), with a similar gradual decrease as you move to scores 0 and 10.

#### Instructions

- Identify the median score for each test by finding the middle value of the ordered list of scores.
- Determine the interquartile range (IQR) by finding the difference between the first quartile (Q1) and the third quartile (Q3).

The medians and interquartile ranges will help in understanding the central tendency and spread of the scores, allowing comparison between the two test results. This can reveal insights into consistency and variability in performance.

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.

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