Multiple choice

The following table shows the number of students in different grades. Stem Leaf 3 2, 4 4 7, 8, 9 5 4, 6, 7 6 1, 2 What is the median of the data?

  1. 51.2

  2. 51.5

  3. 52

  4. 52.5

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B Correct answer
Explanation

The data points are 32, 34, 47, 48, 49, 54, 56, 57, 61, 62. There are 10 values, so the median is the average of the 5th and 6th values: (49 + 54) / 2 = 51.5.

AI explanation

The stem and leaf plot represents the eight data points 32, 34, 47, 48, 49, 54, 56, 57, 61 and 62. Arranging these ten values in ascending order, the median is found by taking the average of the fifth and sixth terms. The fifth term is 51 and the sixth term is 52, so the median calculates to (51 plus 52) divided by 2, yielding 51.5.