Stem | Leaf
----------------
5 | 4 5
6 | 0 6 9
7 | 2 3 4 5 5
8 | 1 2 8 9
9 | 5 6
What is the range of data?
What is the median of the data?
What is the mode of the data?
Range: The smallest value is 54 and the largest value is 96. Therefore, the range of the data is 96 - 54 = 42.
Median: To find the median, we need to arrange the data in ascending order:
54, 55, 60, 62, 63, 64, 65, 67, 68, 69, 71, 72, 78, 79, 85, 86
There are 16 values in the data set, which is an even number, so we need to find the average of the two middle values (the 8th and 9th values):
Median = (68 + 69) / 2 = 68.5
Mode: The mode is the value that appears most frequently in the data set. In this case, the stem 6 has two leaves (0 and 6), while the stems 7 and 8 also have two leaves each. Therefore, there are multiple modes, which are 60, 62, 63, 64, 65, 78, and 79.