Let's go through each question on the
"Measures of Central Tendency Review Practice 2" worksheet and solve them step by step with explanations.
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1. Explain how to determine if you should use mean or median.
Answer:
You should use the
mean when the data is symmetric and there are no extreme outliers, because the mean uses all values in the data set and gives a good average.
You should use the
median when the data has outliers or is skewed (not symmetric), because the median is not affected by extreme values and gives a better representation of the center.
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✔ Tip: If there are very high or very low values (outliers), the median is more appropriate.
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2. True or False: A data set can have more than one mode.
Answer:
True
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✔ Explanation: A data set can have
no mode,
one mode (unimodal),
two modes (bimodal), or
more than two modes (multimodal). For example:
> - Data: 1, 2, 2, 3, 3 → Mode = 2 and 3 (bimodal)
> - Data: 1, 1, 2, 2, 3 → Modes = 1 and 2
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3. Would mean, median, or mode be most appropriate for this data set: 373, 346, 387, 105, 397, 299, 357, 343, 368
Step 1: Check for outliers
Sort the data:
Parent Tip: Review the logic above to help your child master the concept of measures of central tendency word problems worksheet.
