A group of 12 students has average height of 58 inches. Another group of 6 students have an average of 52 inches. What is average height of 18 students combined.
Mean = Σx/n
58 = Σx/12
696 = Σx
52 = Σx/6
312 = Σx
New mean = (696+312)/18 = ?
55 inches
56 inches
To find the average height of 18 students combined, you first need to find the total height of all the students in both groups.
For the first group of 12 students with an average height of 58 inches, the total height can be calculated by multiplying the average height (58 inches) by the number of students (12):
Total height of the first group = 58 inches * 12 students = 696 inches.
For the second group of 6 students with an average height of 52 inches, the total height can be calculated similarly:
Total height of the second group = 52 inches * 6 students = 312 inches.
To find the average height of the 18 students combined, you need to add the total height of both groups together and divide it by the total number of students (18):
Average height of 18 students combined = (696 inches + 312 inches) / 18 students = 1008 inches / 18 students ≈ 56 inches.
Therefore, the average height of the 18 students combined is approximately 56 inches.