In a city with three high schools, all the ninth graders took a Standardized Test, with these results: High School Mean score on test Number of ninth graders Glenwood 80 272 Central City Lincoln High The city's PR manager, who never took a college math class, claimed the mean score of all ninth grade in the city was 82. Of course, that is incorrect. What is the mean score for all ninth graders in the cit 94 335 72 178

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In a city with three high schools, all the ninth graders took a Standardized Test, with these results:

| High School   | Mean score on test | Number of ninth graders |
|---------------|--------------------|-------------------------|
| Glenwood      | 80                 | 272                     |
| Central City  | 94                 | 335                     |
| Lincoln High  | 72                 | 178                     |

The city's PR manager, who never took a college math class, claimed the mean score of all ninth graders in the city was 82. Of course, that is incorrect. What is the mean score for all ninth graders in the city?

Round to one decimal place.

Mean of all ninth graders' scores = [ ]

### Explanation:

To find the correct mean score for all ninth graders, calculate the weighted average of the scores from each school, considering the number of students:

1. Multiply the mean score of each school by the number of students.
2. Add these products together.
3. Divide the total by the number of all ninth graders from all schools.

Here's the calculation step-by-step:

- Glenwood: 80 * 272 = 21,760
- Central City: 94 * 335 = 31,490
- Lincoln High: 72 * 178 = 12,816

Total sum of scores = 21,760 + 31,490 + 12,816 = 66,066

Total number of students = 272 + 335 + 178 = 785

Mean score = 66,066 / 785 = 84.2 (rounded to one decimal place)

So, the mean score for all ninth graders in the city is 84.2.
Transcribed Image Text:In a city with three high schools, all the ninth graders took a Standardized Test, with these results: | High School | Mean score on test | Number of ninth graders | |---------------|--------------------|-------------------------| | Glenwood | 80 | 272 | | Central City | 94 | 335 | | Lincoln High | 72 | 178 | The city's PR manager, who never took a college math class, claimed the mean score of all ninth graders in the city was 82. Of course, that is incorrect. What is the mean score for all ninth graders in the city? Round to one decimal place. Mean of all ninth graders' scores = [ ] ### Explanation: To find the correct mean score for all ninth graders, calculate the weighted average of the scores from each school, considering the number of students: 1. Multiply the mean score of each school by the number of students. 2. Add these products together. 3. Divide the total by the number of all ninth graders from all schools. Here's the calculation step-by-step: - Glenwood: 80 * 272 = 21,760 - Central City: 94 * 335 = 31,490 - Lincoln High: 72 * 178 = 12,816 Total sum of scores = 21,760 + 31,490 + 12,816 = 66,066 Total number of students = 272 + 335 + 178 = 785 Mean score = 66,066 / 785 = 84.2 (rounded to one decimal place) So, the mean score for all ninth graders in the city is 84.2.
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