**Educational Resource on Murder Rates per 100,000 Residents by State****Overview:**The given histogram represents the murder rates per 100,000 residents across 52 states in a certain year. The x-axis lists the murder rate, rounded to the nearest whole number, and the y-axis indicates the frequency, or the number of states that correspond to each rate.**Histogram Description:**- The murder rate ranges from 0 to 13 per 100,000 residents.- Frequencies for each murder rate are as follows: - Rate 0: 4 states - Rate 1: 8 states - Rate 2: 10 states - Rate 3: 8 states - Rate 4: 6 states - Rate 5: 4 states - Rate 6: 3 states - Rate 7: 2 states - Rate 8: 2 states - Rate 9: 2 states - Rate 10: 0 states - Rate 11: 1 state - Rate 12: 1 state - Rate 13: 1 state**Questions:**a. **Distribution Shape:** The histogram is skewed to the right, indicating that most states have lower murder rates, with fewer states having higher murder rates.b. **Mean Calculation:**To calculate the mean murder rate, sum all the products of each murder rate and its frequency, then divide by the total number of states (52).\[ \text{Mean Murder Rate} = \frac{(0 \times 4) + (1 \times 8) + (2 \times 10) + (3 \times 8) + (4 \times 6) + (5 \times 4) + (6 \times 3) + (7 \times 2) + (8 \times 2) + (9 \times 2) + (10 \times 0) + (11 \times 1) + (12 \times 1) + (13 \times 1)}{52} \]Calculate this to provide the mean murder rate, rounded to two decimal places.

Name: **Educational Resource on Murder Rates per 100,000 Residents by State
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Description: **Educational Resource on Murder Rates per 100,000 Residents by State****Overview:**The given histogram represents the murder rates per 100,000 residents across 52 states in a certain year. The x-axis lists the murder rate, rounded to the nearest wh

a) From the histogram, it can be observed that the shape of the distribution is skewed to the right because the tail is elongated towards right.

Math

Statistics

There are 52 states in a certain country. The histogram shows murder rates per 100,000 residents and the number of states that had these rates in a certain year. a. Is the shape of this distribution best classified as normal, skewed left, or skewed right? Use this information to complete parts (a) through (e) to the right. Choose the correct distribution type below. Murder Rates per 100,000 Residents, by State O A. Skewed left B. Uniform distribution 'C. Skewed right D. Normal distribution 10 10- 8. 8-.. 8. 7+... 6. 6- b. Calculate the mean murder rate per 100,000 residents for the states. The mean murder rate is murders per 100,000 residents. |(Type an integer or decimal rounded to two decimal place as needed.) 2- 1- 0+ ói 23 4 5 6789 10 1112 13 Murder Rate (per 100,000 residents) Rounded to the Nearest Whole Number Kouanbas

There are 52 states in a certain country. The histogram shows murder rates per 100,000 residents and the number of states that had these rates in a certain year. a. Is the shape of this distribution best classified as normal, skewed left, or skewed right? Use this information to complete parts (a) through (e) to the right. Choose the correct distribution type below. Murder Rates per 100,000 Residents, by State O A. Skewed left B. Uniform distribution 'C. Skewed right D. Normal distribution 10 10- 8. 8-.. 8. 7+... 6. 6- b. Calculate the mean murder rate per 100,000 residents for the states. The mean murder rate is murders per 100,000 residents. |(Type an integer or decimal rounded to two decimal place as needed.) 2- 1- 0+ ói 23 4 5 6789 10 1112 13 Murder Rate (per 100,000 residents) Rounded to the Nearest Whole Number Kouanbas

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6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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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Question

**Educational Resource on Murder Rates per 100,000 Residents by State**

**Overview:**
The given histogram represents the murder rates per 100,000 residents across 52 states in a certain year. The x-axis lists the murder rate, rounded to the nearest whole number, and the y-axis indicates the frequency, or the number of states that correspond to each rate.

**Histogram Description:**
- The murder rate ranges from 0 to 13 per 100,000 residents.
- Frequencies for each murder rate are as follows:
- Rate 0: 4 states
- Rate 1: 8 states
- Rate 2: 10 states
- Rate 3: 8 states
- Rate 4: 6 states
- Rate 5: 4 states
- Rate 6: 3 states
- Rate 7: 2 states
- Rate 8: 2 states
- Rate 9: 2 states
- Rate 10: 0 states
- Rate 11: 1 state
- Rate 12: 1 state
- Rate 13: 1 state

**Questions:**

a. **Distribution Shape:**
The histogram is skewed to the right, indicating that most states have lower murder rates, with fewer states having higher murder rates.

b. **Mean Calculation:**
To calculate the mean murder rate, sum all the products of each murder rate and its frequency, then divide by the total number of states (52).

\[ \text{Mean Murder Rate} = \frac{(0 \times 4) + (1 \times 8) + (2 \times 10) + (3 \times 8) + (4 \times 6) + (5 \times 4) + (6 \times 3) + (7 \times 2) + (8 \times 2) + (9 \times 2) + (10 \times 0) + (11 \times 1) + (12 \times 1) + (13 \times 1)}{52} \]

Calculate this to provide the mean murder rate, rounded to two decimal places.

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