Step-by-step explanation:
Data set A : 72, 73, 73, 76, 76
Data Set B: 61, 64, 74, 85, x
Step 1: Find the mean value of data set A
Mean = Average
Mean = sum of the number / n
Sum of data Set A = 72 + 73 + 73 + 76 + 76
sum = 370
n = frequency of the set
n = 5
Mean = 370 / 5
Mean = 74
Since mean Data Set A is equal to mean of Data set B
Recall, mean = sum / n
Data set B: 61, 64, 74, 85, x
mean = 74; find x
74 = 61 + 64 + 74 + 85 + x / 5
74 = 284 + x / 5
Cross multiply
74 * 5 = 284 + x
370 = 284 + x
Isolate x
370 - 284 = x
x = 86