Find the mean, median, mode , and range of the data set below after you add 15 to each data value 10.7 8.2 0 10.8 9.4 10.7 The mean is (Type an integer or a decimal)
The new data set after adding 15 to each value is:
25.7 23.2 15 25.8 24.4 25.7
To find the mean, add up all of the values and divide by the total number of values:
(25.7 + 23.2 + 15 + 25.8 + 24.4 + 25.7) / 6 = 22.966666... ≈ 22.97
The mean is approximately 22.97.
To find the median, we need to order the values from least to greatest:
15, 23.2, 24.4, 25.7, 25.7, 25.8
Because there are an even number of values, the median is the average of the two middle values: (24.4 + 25.7) / 2 = 25.05
The median is 25.05.
To find the mode, we need to look for the value that occurs most frequently. In this data set, there is no value that occurs more than once, so there is no mode.
To find the range, subtract the smallest value from the largest value:
25.8 - 15 = 10.8
The range is 10.8.
To find the mean, first, we add 15 to each data value:
10.7 + 15 = 25.7
8.2 + 15 = 23.2
0 + 15 = 15
10.8 + 15 = 25.8
9.4 + 15 = 24.4
10.7 + 15 = 25.7
Now, we have the updated data set:
25.7, 23.2, 15, 25.8, 24.4, 25.7
To find the mean, we sum up all the data values and divide by the number of data values:
Mean = (25.7 + 23.2 + 15 + 25.8 + 24.4 + 25.7) / 6 = 139.8 / 6 = 23.3
Therefore, the mean of the updated data set is 23.3.