The histogram below shows the average weekday wait time for a roller coaster at Six Flags. Calculate the mean of the data. Show your work. This image is a histogram representing the frequency distribution of a dataset described by time intervals in minutes. **X-Axis (Time in Minutes)**: - The time intervals are from 16 to 32 minutes, presented in increments of 2 minutes each, namely: 16-18, 18-20, 20-22, 22-24, 24-26, 26-28, 28-30, and 30-32.**Y-Axis (Frequency)**: - The frequency values range from 0 to 7.**Bars and Frequency**:1. The interval 16-18 minutes has a frequency of 1.2. The interval 18-20 minutes has a frequency of 2.3. The interval 20-22 minutes has a frequency of 2.4. The interval 22-24 minutes has the highest frequency of 6.5. The interval 24-26 minutes has a frequency of 2.6. The intervals 26-28, 28-30, and 30-32 minutes each have a frequency of 1.**Analysis**: - The histogram shows a peak at the 22-24 minutes interval, indicating that this time range is the most frequent in the dataset. The distribution appears to be skewed towards the lower time intervals, with a gradual decrease in frequency as the time intervals increase past 24 minutes.

Solution: Using histogram we can generate a frequency distribution as Class Interval Frequency…

Answered: The histogram below shows the average…

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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The histogram below shows the average weekday wait time for a roller coaster at Six Flags. Calculate the mean of the data. Show your work.

This image is a histogram representing the frequency distribution of a dataset described by time intervals in minutes.

**X-Axis (Time in Minutes)**:
- The time intervals are from 16 to 32 minutes, presented in increments of 2 minutes each, namely: 16-18, 18-20, 20-22, 22-24, 24-26, 26-28, 28-30, and 30-32.

**Y-Axis (Frequency)**:
- The frequency values range from 0 to 7.

**Bars and Frequency**:
1. The interval 16-18 minutes has a frequency of 1.
2. The interval 18-20 minutes has a frequency of 2.
3. The interval 20-22 minutes has a frequency of 2.
4. The interval 22-24 minutes has the highest frequency of 6.
5. The interval 24-26 minutes has a frequency of 2.
6. The intervals 26-28, 28-30, and 30-32 minutes each have a frequency of 1.

**Analysis**:
- The histogram shows a peak at the 22-24 minutes interval, indicating that this time range is the most frequent in the dataset. The distribution appears to be skewed towards the lower time intervals, with a gradual decrease in frequency as the time intervals increase past 24 minutes.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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