what are the mean, median, mode, and range of the data set 16, 17, 17, 17, 19, 21, 23, 24?
Mean: To find the mean, we add up all of the numbers and divide by the total number of numbers.
16 + 17 + 17 + 17 + 19 + 21 + 23 + 24 = 154
154 ÷ 8 = 19.25
The mean of the data set is 19.25.
Median: To find the median, we need to find the middle value in the set.
Arranging the numbers in order from lowest to highest:
16, 17, 17, 17, 19, 21, 23, 24
The middle value is 19, which is the fourth value in the set.
The median of the data set is 19.
Mode: To find the mode, we need to determine which value appears most frequently in the set.
In this case, the value 17 appears most frequently, a total of three times.
The mode of the data set is 17.
Range: To find the range, we need to subtract the lowest value from the highest value in the set.
Highest value: 24
Lowest value: 16
24 - 16 = 8
The range of the data set is 8.