Answer:
Explanation:
The measures of center include the mean, median, and mode. To find the mean, we sum all the values in the data set and divide by the number of values. The mean for this data set is (12 + 13 + 40 + 95 + 88 + 7 + 95) / 7 = 50.
To find the median, we need to arrange the data set in ascending order: 7, 12, 13, 40, 88, 95, 95. Since there are an odd number of values in the data set, the median is the middle value. The median for this data set is 40.
The mode is the value that appears most frequently in the data set. In this case, the mode is 95.
All three measures of center (mean, median and mode) are different for this data set. There isn’t a single value that best represents all the measures of center for this data set.
The measures of center for the data set 12, 13, 40, 95, 88, 7, 95 are:
Mean: (12 + 13 + 40 + 95 + 88 + 7 + 95) / 7 = 50
Median: 40
Mode: 95
The value that best represents all the measures of center is 95. This is because the mean, median, and mode are all close to 95. The mode is the most frequently occurring value, and the mean and median are the middle values when the data is arranged in increasing order. Therefore, 95 is the value that is most typical of the data set.
The responses 40, 48, and 50 are not good representations of all the measures of center because they are not as close to 95 as the mode, mean, and median.