Find the mean, median, and mode for the data set below Explain which measure best describes the data 1 29 25 23 26 29 The mean Type an integer or decimal rounded to the nearest hundredth as needed)
The mean is (1 + 29 + 25 + 23 + 26 + 29) ÷ 6 = 23.83 (rounded to the nearest hundredth).
To find the median, we need to arrange the data set in numerical order: 1 23 25 26 29 29. The median is the middle number, which is 26.
There are two modes in this data set, 29 and 25, because they each occur twice.
In this case, the median (26) best describes the data, because it is not affected by the outliers (1 and 29) and represents the typical value in the middle of the range of the data set.
To find the mean, you need to calculate the sum of all the values and divide it by the number of values in the data set.
The sum of the values is 1 + 29 + 25 + 23 + 26 + 29 = 133.
Since there are 6 values in the data set, the mean is 133 / 6 = 22.17 (rounded to the nearest hundredth).
Now let's find the median. To do this, we need to arrange the values in ascending order.
1, 23, 25, 26, 29, 29
There are 6 values, so the median is the average of the middle two values, which are 25 and 26.
Therefore, the median is (25 + 26) / 2 = 25.5.
The mode is the value that appears most frequently in the data set. In this case, the value 29 appears twice, which is more than any other value.
So, the mode is 29.
In this case, the mean (22.17) and the median (25.5) do not coincide exactly with any of the values in the data set. However, the mode (29) is one of the actual values.
Therefore, in this specific case, the mode provides the best description of the data because it represents the value that appears most frequently.