b) Estimate the mode populationc ) Estimate the median populationd) Estimate the Mean population **Table: State Population Distribution**| Population Range (millions) | Number of States ||-----------------------------|------------------|| 0 – 4 | 25 || 5 – 9 | 15 || 10 – 14 | 6 || 15 – 19 | 0 || 20 – 24 | 2 || 25 – 29 | 1 || 30 – 34 | 0 || 35 – 39 | 1 |---**Instructions:**a. Sketch a neat and properly labeled histogram based on the data provided in the table above. **Explanation for Creating the Histogram:**1. **X-Axis (Horizontal):** Label this axis as "Population Range (millions)." Each bar should correspond to the population range categories listed in the table (e.g., 0-4, 5-9, etc.).2. **Y-Axis (Vertical):** Label this axis as "Number of States." The scale should be set to accommodate the largest frequency, which is 25 in the 0-4 population range.3. **Bars:** For each population range, draw a bar up to the corresponding number of states. Ensure that each bar is proportional in height.4. **Title:** Include a title for the histogram that clearly describes the data, such as "Distribution of States by Population Range."5. **Labels:** Ensure each bar is clearly labeled with its population range for clarity.This histogram will help visualize how states are distributed across different population ranges, providing insights into population concentration.

Answered: Image /qna-images/answer/ab21e953-7307-49f4-b31d-2350101ea61e.jpg

Answered: Number of States Population Range…

Math

Statistics

Number of States Population Range (millions) 0-4 25 5-9 15 10 14 6. 15 19 20-24 ERA 1 25- 29 30-34 35-39 1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.4: Fractional Expressions

Problem 83E

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Question

b) Estimate the mode population

c ) Estimate the median population

d) Estimate the Mean population

**Table: State Population Distribution**

| Population Range (millions) | Number of States |
|-----------------------------|------------------|
| 0 – 4 | 25 |
| 5 – 9 | 15 |
| 10 – 14 | 6 |
| 15 – 19 | 0 |
| 20 – 24 | 2 |
| 25 – 29 | 1 |
| 30 – 34 | 0 |
| 35 – 39 | 1 |

---

**Instructions:**

a. Sketch a neat and properly labeled histogram based on the data provided in the table above.

**Explanation for Creating the Histogram:**

1. **X-Axis (Horizontal):** Label this axis as "Population Range (millions)." Each bar should correspond to the population range categories listed in the table (e.g., 0-4, 5-9, etc.).

2. **Y-Axis (Vertical):** Label this axis as "Number of States." The scale should be set to accommodate the largest frequency, which is 25 in the 0-4 population range.

3. **Bars:** For each population range, draw a bar up to the corresponding number of states. Ensure that each bar is proportional in height.

4. **Title:** Include a title for the histogram that clearly describes the data, such as "Distribution of States by Population Range."

5. **Labels:** Ensure each bar is clearly labeled with its population range for clarity.

This histogram will help visualize how states are distributed across different population ranges, providing insights into population concentration.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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