Question

The mean height of 3 boys is 150 centimeters. The mean height of 2 girls is 145 centimeters. Find the mean height of the 5 students.

Answer 1

It’s 147.5.

When you calculate the average you have to add all the numbers and then divided the answer by the amount of numbers.

Ex. The average of 4, 7, 9, 1, 3, and 10 is 5.66 because 4 + 7 + 9 + 1 + 3 + 10 is 34 and then you divide by 6 (because there are 6 numbers) which is 5.66.

Answer 2

Mean is the average or the most common value in a collection of numbers. It is the ratio of the sum of the total terms $S_n$ to the number of terms $n$. Mathematically,

$M=\dfrac{S_m}{n}$

Using the above formula we get the mean height of the 5 students is 148 cm.

Given-

The mean height of 3 boys is 150 centimetres.

The mean height of 2 girls is 145 centimetres.

To find the mean height of the 5 students we need to know the mean.

What is the mean?

Mean is the average or the most common value in a collection of numbers. It is the ratio of the sum of the total terms $S_n$ to the number of terms $n$. Mathematically,

$M=\dfrac{S_m}{n}$

Total height of the 3 boys,

$=3\times 150$

$=450$

Thus total height of the 3 boys is 450 cm.

Now  the total height of the 2 girls,

$=2\times 145$

$=290$

Thus total height of the 2 girls is 290 cm.

Sum of the total height of the 3 boys  and 2 girls,

$=450+290=740$

We have total 5 students thus the mean height of the 5 students is,

$M=\dfrac{740}{5}$

$M=148$

Hence, the mean height of the 5 students is 148 cm.

Learn more about the mean hear;

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