would this be considered a symmetrical histogram? and if it is not symmetrical, then what is it and what does that mean? This histogram represents the distribution of weights in a given data set. - The x-axis is labeled "Weight" and ranges from 100 to 250.- The y-axis is labeled "Frequency" and indicates how often each weight range occurs within the data set.### Key Observations:1. **Bins and Frequency:** - The data is divided into weight intervals represented by bins along the x-axis. - Each bar's height indicates the frequency of weights within that interval.2. **Distribution:** - The highest frequency occurs in the 150-160 weight range, with a count of around 30. - The distribution suggests a right-skewed tendency, with most weights concentrating between 130 and 180.3. **Shape:** - The overall shape of the histogram resembles a normal distribution but with a slight skew to the right due to a longer tail toward higher weights.This visual representation is useful for understanding how weights are spread across different values within the data set, allowing for a quick analysis of common weight ranges and their frequencies.

The histogram shows the weights and frequencies.

Answered: would this be considered a symmetrical…

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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would this be considered a symmetrical histogram? and if it is not symmetrical, then what is it and what does that mean?

This histogram represents the distribution of weights in a given data set.

- The x-axis is labeled "Weight" and ranges from 100 to 250.
- The y-axis is labeled "Frequency" and indicates how often each weight range occurs within the data set.

### Key Observations:

1. **Bins and Frequency:**
- The data is divided into weight intervals represented by bins along the x-axis.
- Each bar's height indicates the frequency of weights within that interval.

2. **Distribution:**
- The highest frequency occurs in the 150-160 weight range, with a count of around 30.
- The distribution suggests a right-skewed tendency, with most weights concentrating between 130 and 180.

3. **Shape:**
- The overall shape of the histogram resembles a normal distribution but with a slight skew to the right due to a longer tail toward higher weights.

This visual representation is useful for understanding how weights are spread across different values within the data set, allowing for a quick analysis of common weight ranges and their frequencies.

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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