3. Describing Data Numerically
Mode
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Find the mode of the data in the stemplot below.
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Verified step by step guidance1
Step 1: Understand the stemplot structure. In a stemplot, the left column represents the 'stem' (the leading digits), and the right column represents the 'leaf' (the trailing digits). For example, a stem of 0 and a leaf of 1 represents the number 01 or simply 1.
Step 2: Reconstruct the data from the stemplot. Combine each stem with its corresponding leaves to form the complete numbers. For instance, for stem 0 and leaves 1, 3, 4, 5, 5, 6, the numbers are 1, 3, 4, 5, 5, and 6.
Step 3: List all the numbers from the stemplot. From the image, the numbers are: 1, 3, 4, 5, 5, 6, 12, 12, 14, 23, 25, 28, 33, 34, 36, 37, and 39.
Step 4: Identify the mode. The mode is the number that appears most frequently in the dataset. Count the frequency of each number to determine which number(s) occur most often.
Step 5: Conclude the mode. Based on the frequency counts, identify the number(s) with the highest occurrence. If there is a tie, list all numbers with the highest frequency as the mode.
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