Does the mean or median better describe the shape of this data set?
46, 54, 43, 57, 50, 62, 78, 42(1 point)
Responses
The median value of 54 is the best measure of center that describes the shape of the data set.
The median value of 54 is the best measure of center that describes the shape of the data set.
The mean value of 52 is the best measure of center that describes the shape of the data set.
The mean value of 52 is the best measure of center that describes the shape of the data set.
The median value of 52 is the best measure of center that describes the shape of the data set.
The median value of 52 is the best measure of center that describes the shape of the data set.
The mean value of 54 is the best measure of center that describes the shape of the data set.
bot is the mean 54 and median 52
The median value of 54 is the best measure of center that describes the shape of the data set.
To determine whether the mean or median is a better measure of center for this data set, we need to consider the characteristics of the data. The mean is calculated by summing all the values in the data set and dividing by the number of values. The median, on the other hand, is the middle value when the data set is arranged in ascending or descending order.
To find the mean of this data set, we add up all the values and divide by the number of values:
(46 + 54 + 43 + 57 + 50 + 62 + 78 + 42) / 8 = 432 / 8 = 54
The mean of this data set is 54.
To find the median of this data set, we arrange the values in ascending order:
42, 43, 46, 50, 54, 57, 62, 78
Since there are 8 values, the median is the middle value, which in this case is 54.
Comparing the mean and the median, we can see that they are both equal to 54. However, in this case, the median value of 54 is the best measure of center that describes the shape of the data set. This is because the median is not affected by extreme values, so it provides a more representative measure of the "typical" value in the data set. In this data set, the values 62 and 78 are larger than the rest, and they could skew the mean value higher. Therefore, the median is a better choice to describe the shape of this data set.