you divide each value in the data set below by 5what are the mean, medianmode, and range of the resulting data set? 0163788 The mean is Type an integer or decimal rounded to the nearest hundredth as needed)
0.676, the median is 0.6, the mode is N/A (there is no value that appears more than once), and the range is 0.24.
To find the mean, median, mode, and range of the resulting data set, we first need to divide each value in the given data set by 5.
The original data set: 0, 1, 6, 3, 7, 8
Dividing each value by 5 gives us the new data set: 0/5, 1/5, 6/5, 3/5, 7/5, 8/5
Simplifying the new data set: 0, 0.2, 1.2, 0.6, 1.4, 1.6
Mean: To find the mean, we sum up all the values in the data set and divide by the number of values present.
Mean = (0 + 0.2 + 1.2 + 0.6 + 1.4 + 1.6) / 6 = 5 / 6 ≈ 0.83333
Therefore, the mean of the resulting data set is approximately 0.83333.
Median: To find the median, we arrange the values in ascending order and find the middle value.
Arranging in ascending order: 0, 0.2, 0.6, 1.2, 1.4, 1.6
Since there are six values in the data set, the median will be the average of the two middle values:
Median = (0.6 + 1.2) / 2 = 0.9
Therefore, the median of the resulting data set is 0.9.
Mode: The mode represents the value(s) that appear most frequently in the data set. In this case, there is no repetition in the data set, so there is no mode.
Range: The range is the difference between the highest and lowest values in the data set.
Range = highest value - lowest value = 1.6 - 0 = 1.6
Therefore, the range of the resulting data set is 1.6.