High School

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**Question 1:** What is the student's weighted mean score?

Scores and their percent of the final grade for a statistics student are given:

| Assignment | Score | Percent of Final Grade (%) |
|------------------|-------|---------------------------|
| Homework | 80 | 10 |
| Quiz 1 | 86 | 15 |
| Quiz 2 | 98 | 15 |
| Project | 100 | 35 |
| Final Exam | 92 | 25 |

The student's weighted mean score is: _______ (Simplify your answer. Round to two decimal places as needed).

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**Question 2:** What is the account's mean daily balance for April?

For the month of April, a checking account has a balance of:
- $500 for 22 days,
- $2,382 for 3 days,
- $224 for 5 days.

The account's mean daily balance for April is approximately: _______ (Round to two decimal places as needed).

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**Question 3:** What is the mean score for the class?

The mean scores for students in a statistics course (by major) are shown below:

| Major | Number of Students | Mean Score |
|-------------|--------------------|------------|
| Engineering | 9 | 91 |
| Math | 5 | 93 |
| Business | 13 | 84 |

The class's mean score is: _______ (Type an integer or a decimal rounded to two decimal places as needed).

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**Question 4:** Approximate the mean of the frequency distribution.

The gas mileages (in miles per gallon) for 27 cars are shown in the frequency distribution:

| Gas Mileage (in mpg) | Frequency |
|----------------------|-----------|
| 28-31 | 8 |
| 32-35 | 13 |
| 36-39 | 1 |
| 40-43 | 5 |

The approximate mean of the frequency distribution is: _______ (Round to one decimal place as needed).

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**Question 5:** Approximate the mean of the frequency distribution for the ages of the residents of a town.

| Age Range | Frequency |
|-----------|-----------|
| 0-9 | 24 |
| 10-19 | 25 |
| 20-29 | 11 |
| 30-39 | 30 |
| 40-49 | 31 |
| 50-59 | 47 |
| 60-69 | 33 |
| 70-79 | 12 |
| 80-89 | 5 |

The approximate mean age is: _______ years (Round to one decimal place as needed).

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**Question 6:** Which of the car manufacturers of cars A, B, and C would prefer to use the midrange statistic in their ads? Explain your reasoning.

Another measure of central tendency that is rarely used but is easy to calculate is the midrange. It can be found using the formula below:

\[ \text{Midrange} = \frac{\text{Maximum data entry} + \text{Minimum data entry}}{2} \]

A consumer testing service obtained the mileages (in miles per gallon) shown in the table below in five test runs performed with three types of compact cars.

| Car | MPG |
|-----|-------------|
| A | 32, 30, 33, 28, 32 |
| B | 25, 29, 26, 33, 36 |
| C | 32, 31, 34, 29, 30 |

The manufacturer of car _____ would prefer to use the midrange, since their car's midrange of _____ mpg is the highest (Type an integer or a decimal).

Answer :

This question deals with calculating various measures in statistics including weighted mean scores, mean daily balance, mean scores for different student majors, mean of frequency distribution, and midrange of car mileages. Detailed explanations and steps to calculate these measures are provided.

The subject of these questions is Statistics, specifically dealing with weighted mean scores, mean daily balance, mean scores of different majors, mean of frequency distribution, and midrange of car mileages.

A weighted mean is calculated by multiplying each number by its weight and then summing these values up. For the student's scores, multiply each score by the percent it contributes to the final grade, sum those up, then divide by 100 to get the weighted mean.

The mean daily balance of an account is found by multiplying each balance by the number of days it was held, summing these up, and then dividing by the total number of days in the period.

In the case of the mean scores of different majors, multiply each mean score by the number of students in each major, sum these, and divide by the total number of students.

The Mean of frequency distribution involves multiplying each midrange value of the group by its frequency, then summing and dividing by the total frequency.

Lastly, the midrange of car mileages is the average of the highest and lowest mileage which is appealing for manufacturers whose cars had the highest lowest mileage, meaning their range of mileage is less extreme and more consistent.

Learn more about the topic of Statistics here:

https://brainly.com/question/30233021

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