A survey and data analysis project helps students turn real opinions, habits, or measurements into evidence. Instead of guessing what classmates think or do, you collect responses in an organized way and summarize the results with statistics. This matters because surveys are used in science, business, health, government, and school decision making.
A strong project starts with clear questions, a fair sample, and careful data recording.
Key Facts
- Mean = sum of all values divided by number of values.
- Median = the middle value when data are ordered from least to greatest.
- Mode = the value or category that appears most often.
- Range = maximum value - minimum value.
- Sample size, n, is the number of responses collected.
- Standard deviation measures how spread out the data are from the mean.
Vocabulary
- Survey
- A survey is a set of questions used to collect information from a group of people.
- Sample
- A sample is the group of people or items selected from a larger population for study.
- Bias
- Bias is a systematic problem that makes survey results unfair, misleading, or not representative.
- Histogram
- A histogram is a graph that shows how often numerical data values fall within intervals.
- Standard Deviation
- Standard deviation is a statistic that describes the typical distance of data values from the mean.
Common Mistakes to Avoid
- Writing leading questions, because wording like "How much do you love school lunch?" pushes people toward a certain answer and creates biased data.
- Surveying only close friends, because that sample may not represent the wider class or school population.
- Mixing categories during data entry, because entries like "soccer," "Soccer," and "football" may be counted as different answers even if they mean the same thing.
- Using the mean for every data set, because outliers can pull the mean away from a typical value and the median may describe the center better.
Practice Questions
- 1 A survey asks 10 students how many minutes they study each night: 20, 30, 30, 45, 50, 60, 60, 60, 75, 90. Find the mean, median, mode, and range.
- 2 A class rates a school event from 1 to 5. The responses are 4, 5, 3, 4, 2, 5, 4, 3, 4, 5, 1, 4. Create a frequency table and identify the mode.
- 3 A student wants to ask, "Do you agree that our amazing new schedule is better than the old one?" Explain why this question is biased and rewrite it as a neutral survey question.