Find the mean, median, and mode for each set of data. If necessary, round to the nearest tenth.4, 5, 7, 3, 9, 11, 23, 377.2, 3.6, 9.0, 5.2, 7.2, 6.5, 3.6
Question
Find the mean, median, and mode for each set of data. If necessary, round to the nearest tenth.
Data Set: 4, 5, 7, 3, 9, 11, 23, 377.2, 3.6, 9.0, 5.2, 7.2, 6.5, 3.6
Solution
Sure, let's break this down into two sets of data:
Set 1: 4, 5, 7, 3, 9, 11, 23 Set 2: 377.2, 3.6, 9.0, 5.2, 7.2, 6.5, 3.6
For Set 1:
- Mean: Add all the numbers and then divide by the count of numbers. (4+5+7+3+9+11+23)/7 = 62/7 = 8.9
- Median: Arrange the numbers in order and find the middle number. If there are two middle numbers, take their average. The ordered set is 3, 4, 5, 7, 9, 11, 23. The median is 7.
- Mode: The number that appears most frequently. In this set, all numbers appear only once, so there is no mode.
For Set 2:
- Mean: (377.2+3.6+9.0+5.2+7.2+6.5+3.6)/7 = 412.3/7 = 58.9
- Median: The ordered set is 3.6, 3.6, 5.2, 6.5, 7.2, 9.0, 377.2. The median is 6.5.
- Mode: The number that appears most frequently. In this set, 3.6 appears twice, so the mode is 3.6.
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