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Find the mean, median and mode of the following set of data.​         6.1, 5.2, 7.2, 7.2, 3.6, 9.0, 6.5, 7.4, 5.46.1,\ 5.2,\ 7.2,\ 7.2,\ 3.6,\ 9.0,\ 6.5,\ 7.4,\ 5.46.1, 5.2, 7.2, 7.2, 3.6, 9.0, 6.5, 7.4, 5.4

Question

Find the mean, median and mode of the following set of data.​         6.1, 5.2, 7.2, 7.2, 3.6, 9.0, 6.5, 7.4, 5.46.1,\ 5.2,\ 7.2,\ 7.2,\ 3.6,\ 9.0,\ 6.5,\ 7.4,\ 5.46.1, 5.2, 7.2, 7.2, 3.6, 9.0, 6.5, 7.4, 5.4

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Solution

To find the mean, median, and mode of the data set, follow these steps:

Mean:

  1. Add all the numbers together: 6.1 + 5.2 + 7.2 + 7.2 + 3.6 + 9.0 + 6.5 + 7.4 + 5.4 = 57.6
  2. Divide the sum by the total number of data points: 57.6 / 9 = 6.4 So, the mean of the data set is 6.4.

Median:

  1. Arrange the data points in ascending order: 3.6, 5.2, 5.4, 6.1, 6.5, 7.2, 7.2, 7.4, 9.0
  2. Find the middle number. Since there are 9 data points, the middle number is the 5th number, which is 6.5. So, the median of the data set is 6.5.

Mode:

  1. Identify the number that appears most frequently in the data set. In this case, 7.2 appears twice. So, the mode of the data set is 7.2.

This problem has been solved

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