Answer:
The median for data set 1 is 86. The median for data set 2 is 77.5. The IQR for data set 1 is 7. The IQR for data set 2 is 6. The set with more consistent data is data set 2.
Explanation:
Data set 1
{82, 89, 70, 85, 93, 87}
median:
step 1: place the data set numbers in order
70, 82, 85, 87, 89, 93
step 2: n + 1 / 2 n is the number of terms
6 + 1 / 2 = 7 / 2 = 3.5 this means the 3.5 number in the data set
between 85, 87 85 + 87 / 2 = 86
median = 86
IQR:
formula: IQR = Q3 - Q1
Q3 = median of the upper bound of 87, 89, 93
Q3 = 89
Q1 = median of the lower bound of 70, 82, 85
Q1 = 82
IQR = Q3 - Q1 → 89 - 82 = 7
Data set 2
{73, 77, 72, 79, 81, 78}
median:
step 1: place the data set numbers in order
72, 73, 77, 78, 79, 81
step 2: n + 1 / 2 n is the number of terms
6 + 1 / 2 = 7 / 2 = 3.5 this means the 3.5 number in the data set
between 77, 78 77 + 78 / 2 = 77.5
median = 77.5
IQR:
formula: IQR = Q3 - Q1
Q3 = median of the upper bound of 78, 79, 81
Q3 = 79
Q1 = median of the lower bound of 72, 73, 77
Q1 = 73
IQR = Q3 - Q1 → 89 - 82 = 6
other possible calculation for these data sets
Finding the mean:
formula: sum of the data set / total number of terms
sum of the data set: 82 + 89 + 70 + 85 + 93 + 87 = 506
total number of terms: there is 6 numbers in the data set
mean = 506 / 6