**Question:** Assume that the histograms are drawn on the same scale. Which of the histograms has the smallest interquartile range (IQR)?**Diagrams Description:**The image contains four histograms labeled I, II, III, and IV. 1. **Histogram I:** - This histogram has a somewhat uniform distribution with bars of varying heights that do not show a very steep gradient. The bars start with a short height, rise to a middle height, reach a peak in the center, and then symmetrically descend back to the initial height. 2. **Histogram II:** - This histogram has a tightly packed central distribution with the highest frequency in the middle bins. The bars progressively increase in height until the middle and then symmetrically decrease again. The bars at the extreme ends are shorter. 3. **Histogram III:** - This histogram has bars that are relatively uniform in height across all bins, suggesting a uniform distribution. There is little variation in the height of the bars. 4. **Histogram IV:** - This histogram has a very distinct pattern with highest frequency in the first and last bins. The middle bins have much smaller heights, leading to a U-shaped distribution.**Answer Choices:**- Histogram I- Histogram II- Histogram III- Histogram IV**Explanation of IQR:**The interquartile range (IQR) is a measure of statistical dispersion and is the difference between the third quartile (Q3) and the first quartile (Q1). Essentially, it measures the spread of the middle 50% of the data.To determine which histogram has the smallest IQR, examine which histogram has the least spread in the middle 50% of its data:- Histogram III is likely to have the smallest IQR because it shows the most uniform and least spread-out distribution among the four histograms.**Correct Answer:**- Histogram III

Name: **Question:** Assume that the histograms are drawn on the same scale.
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Description: **Question:** Assume that the histograms are drawn on the same scale. Which of the histograms has the smallest interquartile range (IQR)?**Diagrams Description:**The image contains four histograms labeled I, II, III, and IV. 1. **Histogram I:** -

Introduction: Suppose Q1 and Q3 denote the first and third quartiles of a data set, respectively.…

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Statistics

Assume that the histograms are drawn on the same scale. Which of the histograms has the smallest interquartile range (IQR)? I II III IV Histogram I O Histogram II O Histogram III O Histogram IV

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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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 two parameters.

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 or measure of central tendency is a central or typical value for a probability distribution.

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 comparison between two scores that belong to different normal distributions.

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