K12 Math Video: Teaching Standard 6.SP.1 Step-by-Step
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A statistical question is a special type of question that expects different answers from different people or situations. Unlike regular questions that have one correct answer, statistical questions anticipate variability in the data. For example, asking how tall students are in our class is statistical because we expect different heights. But asking what is five plus three is not statistical because there's only one correct answer.
Now let's practice identifying statistical versus non-statistical questions. Question 1 asks how many books you read last month. This is statistical because different people will give different answers. Question 2 asks for the capital of France. This is not statistical because there's only one correct answer: Paris. Question 3 asks about homework time for students. This is statistical because students spend varying amounts of time on homework. Question 4 asks what is twelve times eight. This is not statistical because there's only one correct answer: ninety-six.
Statistical questions naturally lead to data collection. When we ask how tall students are in our class, we expect to collect multiple measurements that will vary from person to person. The data collection process involves asking the statistical question, gathering responses from multiple sources, recording the different answers, and then analyzing the variability in the data. For example, if we measure student heights, we might collect data like fifty-eight inches, sixty-two inches, fifty-nine inches, sixty-one inches, and sixty inches. Notice how each measurement is different, showing the natural variability we expect from statistical questions.
The key feature of statistical questions is that they produce data with variability. When we analyze this variation, we can learn important information about our population. Let's examine our height data more carefully. First, we organize the data from smallest to largest: fifty-seven, fifty-eight, fifty-nine, fifty-nine, sixty, sixty-one, sixty-two, sixty-two, sixty-three, and sixty-four inches. We can see the range spans from fifty-seven to sixty-four inches, giving us a seven-inch spread. We also notice that fifty-nine inches and sixty-two inches each appear twice, making them the most common heights in our data set.