ACT Math · Statistics and data analysis

A stem-and-leaf plot has the following rows: stem 2 with leaves 1, 5, 8; stem 3 with leaves 0, 2, 2, 9; stem 4 with leaves 1, 5. How many…

A stem-and-leaf plot has the following rows: stem 2 with leaves 1, 5, 8; stem 3 with leaves 0, 2, 2, 9; stem 4 with leaves 1, 5. How many total data values are represented?

Answer and explanation

Answer: C: 9

Each leaf on the plot represents one data value, so count the leaves in every row. The stem 22 row has leaves 1,5,81, 5, 8, which is 33 values. The stem 33 row has leaves 0,2,2,90, 2, 2, 9, which is 44 values, and the repeated 22 counts twice. The stem 44 row has leaves 1,51, 5, which is 22 values. The total is 3+4+2=93+4+2=9, choice C. Choice A (33) counts only one row. Choice B (77) leaves out one repeated leaf or one row. Choice D (1010) counts the stems as data values too.

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