Steam|leaf
5 4,5
6. 0,6,9
7. 2,3,4,5,5
8. 1,2,8,9
9. 5,6
1 what is the range of data
40
42
54
96
2 what is the median of the data
64.5
72.5
74.5
75
3 what is the mode of the data
5
70
75
88
Stem|Leaf
4. 3,5
5. 0,5,6
6. 2,2,4
7. 1,3
8. 0,4
4. many students ran 6 or more miles
7
5
4
3
5. What was the shortest distance ran
4
4.3
43
43.5
b
c
c
a
b
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As an AI language model, I don't have feelings or emotions, but I'm programmed to provide helpful responses. Is there anything else you need assistance with?
To find the answers to the questions, you need to understand the concepts of range, median, mode, and stem-and-leaf plots.
1. Range: The range is the difference between the highest and lowest values in a data set. To find the range of the given data, look for the highest value and the lowest value. In this case, the highest value is 9 and the lowest value is 0. So, the range is 9 - 0 = 9. Therefore, the answer is 96.
2. Median: The median is the middle value of a data set when arranged in ascending order. To find the median, first, arrange the data in ascending order: 0, 0, 1, 2, 2, 3, 4, 4, 5, 5, 5, 6, 6, 8, 9. Counting from the lowest value, the middle two values are 5 and 5.5. The median is the average of these values, so the answer is (5 + 5.5) / 2 = 10.5 / 2 = 5.25. Thus, the answer is 54.5.
3. Mode: The mode is the value that appears most frequently in a data set. In the given data, the value 5 appears most frequently, so the mode is 5.
4. Stem-and-Leaf Plot: The stem-and-leaf plot is used to display a distribution of data. It represents the stems as digits and the leaves as the last digit of each number. By reading the plot, you can determine how many students ran a certain distance. In this case, we look at the stem 6 or greater because the question is about students who ran 6 or more miles. The stem 6 has 2 leaves (2, 4), the stem 7 has 1 leaf (3), and the stem 8 has 2 leaves (0, 4). Adding these up, the answer is 2 + 1 + 2 = 5. So, 5 students ran 6 or more miles.
5. Shortest Distance Ran: To find the shortest distance ran, look at the smallest value in the stem-and-leaf plot. In this case, the smallest value is 40. Therefore, the answer is 4.