Without calculating, decide if 15 minutes would be a good estimate of the mean. If you think it is a good estimate, explain your reasoning. If not, give a better estimate and explain your reasoning.
Calculate the mean for Kiran’s data.
Calculate the sum of all distances to the left of the mean, then calculate the sum of distances to the right of the mean. Explain how these sums show that the mean is a balance point for the values in the data set.
Noah scored 20 points in a game. Mai's score was 30 points. The mean score for Noah, Mai, and Clare was 40 points. What was Clare's score? Explain or show your reasoning.
Select [b]all [/b]the expressions that represent the total area of the large rectangle.[br][img]data:image/png;base64,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[/img]
Is [math]\frac{2}{3}<\frac{3}{4}[/math], or is [math]\frac{3}{4}<\frac{2}{3}[/math]? Explain how you know.