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How would you record your results from question 1 as a piece of data?

What color is your hair?

Option 1: Brown (9)
Option 2: Blond (1)
Option 3: Red (0)
Option 4: Black (9)

1 Answer

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Final answer:

When recording hair color as data, you are dealing with categorical data, which can be represented as a frequency chart, pie chart, or bar graph. For example, brown hair was mentioned by 9 people, blond by 1 person, red by 0, and black by 9. To compute probabilities or summarize data, one systematically organizes and analyzes the information.

Step-by-step explanation:

When recording results from a question such as 'What color is your hair?', you are collecting categorical data, which can then be reported in various forms, such as a frequency table, pie chart, or bar graph. In this case, the frequency of each hair color category is given: Brown (9), Blond (1), Red (0), Black (9). This data can be visually represented using a bar graph to compare the frequencies directly or a pie chart to show the proportion of each category relative to the whole.

Regarding the exercises mentioned, the completion of data tables, determination of probabilities, interpreting percentiles, and graph choices are typical tasks in a statistics class. When completing a data table, you organize information systematically. To determine probabilities, such as the chance of a randomly selected child having wavy brown hair, you would divide the number of children with wavy brown hair by the total number of surveyed children.

Interpreting percentile scores, like those from a standardized test, means understanding that a score in the 80th percentile signifies that the student scored higher than 80% of her peers. Choosing between a bar graph and histogram depends on whether the data is categorical (bar graph) or numerical and grouped into intervals (histogram).

When collecting data, it is important to choose a method that provides clear, reliable, and relevant results. For example, surveying classmates on the number of pairs of shoes they own provides a set of numerical data that can be analyzed for patterns and summary statistics, such as mean, median, and mode.

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