3. Describing Data Numerically

Mode

3. Describing Data Numerically

Mode

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Multiple Choice

Find the mode of the data in the table below. Is the data unimodal, bimodal, or multimodal?

$11 comma 12$ ; Bimodal

10; unimodal

11; unimodal

$10 comma 11 comma 12$ ; Multimodal

Verified step by step guidance

Step 1: Understand the concept of mode. The mode is the value(s) that appear most frequently in a dataset. A dataset can be unimodal (one mode), bimodal (two modes), or multimodal (more than two modes).

Step 2: Organize the data from the table into a frequency distribution. Count how many times each number appears in the dataset. For example, count the occurrences of 10, 11, 12, etc.

Step 3: Identify the number(s) with the highest frequency. These are the modes of the dataset. If multiple numbers have the same highest frequency, the dataset is multimodal.

Step 4: Determine whether the dataset is unimodal, bimodal, or multimodal based on the number of modes identified in the previous step.

Step 5: Conclude the analysis by stating the mode(s) and the modality of the dataset (unimodal, bimodal, or multimodal).

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6.5 3.4 4.2 7.1 5.4 6.8 7.5 3.9 4.6

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Multiple Choice

Find the mode of the data in the stemplot below.

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Extending Concepts

Trimmed Mean To find the 10% trimmed mean of a data set, order the data, delete the lowest 10% of the entries and the highest 10% of the entries, and find the mean of the remaining entries.

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Mean and median are the same and the data is bimodal.

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Textbook Question

Using and Interpreting Concepts

Finding and Discussing the Mean, Median, and Mode In Exercises 17–34, find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why.

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12 14 16 15 13 14 15

18 16 16 12 16 15 17

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83 67 90 55 56 119 52

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