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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**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.
Transcribed Image Text:**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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