The mean height of three groups of students consisting of 20, 16 and 14 students are 1.67m, 1.50m and 1.40m, respectively. Find the mean height of all the students.
Well, if I were to calculate the mean height of all the students, I would need a ladder. There's no way I can reach all the students to measure their heights, you know? But hey, I can do some math for you! To find the mean height of all the students, we can use the formula:
Mean Height = (Sum of Heights) / (Total Number of Students)
So let's calculate it step by step.
For the first group, with 20 students and a mean height of 1.67m:
The total height of the first group = 20 * 1.67m = 33.4m
For the second group, with 16 students and a mean height of 1.50m:
The total height of the second group = 16 * 1.50m = 24m
For the third group, with 14 students and a mean height of 1.40m:
The total height of the third group = 14 * 1.40m = 19.6m
Now, to find the mean height of all the students, we add up the total heights of each group and divide it by the total number of students:
Mean Height = (33.4m + 24m + 19.6m) / (20 + 16 + 14)
Mean Height = 77m / 50
Mean Height = 1.54m
So, the mean height of all the students is approximately 1.54m.
To find the mean height of all the students, you need to calculate the total height of all the students and divide it by the total number of students.
Step 1: Calculate the total height:
For the first group of students with 20 students and a mean height of 1.67m:
Total height of the first group = 20 students * 1.67m = 33.4m
Similarly, for the second group with 16 students and a mean height of 1.50m:
Total height of the second group = 16 students * 1.50m = 24m
And for the third group with 14 students and a mean height of 1.40m:
Total height of the third group = 14 students * 1.40m = 19.6m
Step 2: Calculate the total number of students:
Total number of students = 20 + 16 + 14 = 50 students
Step 3: Calculate the mean height:
Mean height of all the students = (Total height of the first group + Total height of the second group + Total height of the third group) / Total number of students
Mean height of all the students = (33.4m + 24m + 19.6m) / 50 students
Mean height of all the students = 76m / 50 students
Mean height of all the students = 1.52m
Therefore, the mean height of all the students is 1.52 meters.
To find the mean height of all the students, we need to calculate the total height and the total number of students.
First, let's calculate the total height:
Total height = (20 * 1.67m) + (16 * 1.50m) + (14 * 1.40m)
= (33.4m) + (24m) + (19.6m)
= 77m
Next, let's calculate the total number of students:
Total number of students = 20 + 16 + 14
= 50
Finally, we can find the mean height by dividing the total height by the total number of students:
Mean height = Total height / Total number of students
= 77m / 50
= 1.54m
Therefore, the mean height of all the students is 1.54m.
form the weighted average:
(20*1.67 + 16*1.50 + 14*1.40)/(20+16+14)