Basic Math Examples

the following pulse rates were recorded for a group of $15$ students. how many pulse rates were lower than the mean $85$ , $80$ , $84$ , $83$ , $63$ , $70$ , $87$ , $73$ , $85$ , $73$ , $76$ , $80$ , $68$ , $82$ , $66$

Step 1

The mean of a set of numbers is the sum divided by the number of terms.

$\frac{15 + 85 + 80 + 84 + 83 + 63 + 70 + 87 + 73 + 85 + 73 + 76 + 80 + 68 + 82 + 66}{16}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Add $15$ and $85$ .

$\frac{100 + 80 + 84 + 83 + 63 + 70 + 87 + 73 + 85 + 73 + 76 + 80 + 68 + 82 + 66}{16}$

Step 2.2

Add $100$ and $80$ .

$\frac{180 + 84 + 83 + 63 + 70 + 87 + 73 + 85 + 73 + 76 + 80 + 68 + 82 + 66}{16}$

Step 2.3

Add $180$ and $84$ .

$\frac{264 + 83 + 63 + 70 + 87 + 73 + 85 + 73 + 76 + 80 + 68 + 82 + 66}{16}$

Step 2.4

Add $264$ and $83$ .

$\frac{347 + 63 + 70 + 87 + 73 + 85 + 73 + 76 + 80 + 68 + 82 + 66}{16}$

Step 2.5

Add $347$ and $63$ .

$\frac{410 + 70 + 87 + 73 + 85 + 73 + 76 + 80 + 68 + 82 + 66}{16}$

Step 2.6

Add $410$ and $70$ .

$\frac{480 + 87 + 73 + 85 + 73 + 76 + 80 + 68 + 82 + 66}{16}$

Step 2.7

Add $480$ and $87$ .

$\frac{567 + 73 + 85 + 73 + 76 + 80 + 68 + 82 + 66}{16}$

Step 2.8

Add $567$ and $73$ .

$\frac{640 + 85 + 73 + 76 + 80 + 68 + 82 + 66}{16}$

Step 2.9

Add $640$ and $85$ .

$\frac{725 + 73 + 76 + 80 + 68 + 82 + 66}{16}$

Step 2.10

Add $725$ and $73$ .

$\frac{798 + 76 + 80 + 68 + 82 + 66}{16}$

Step 2.11

Add $798$ and $76$ .

$\frac{874 + 80 + 68 + 82 + 66}{16}$

Step 2.12

Add $874$ and $80$ .

$\frac{954 + 68 + 82 + 66}{16}$

Step 2.13

Add $954$ and $68$ .

$\frac{1022 + 82 + 66}{16}$

Step 2.14

Add $1022$ and $82$ .

$\frac{1104 + 66}{16}$

Step 2.15

Add $1104$ and $66$ .

$\frac{1170}{16}$

Step 3

Cancel the common factor of $1170$ and $16$ .

Tap for more steps...

Step 3.1

Factor $2$ out of $1170$ .

$\frac{2 (585)}{16}$

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Factor $2$ out of $16$ .

$\frac{2 \cdot 585}{2 \cdot 8}$

Step 3.2.2

Cancel the common factor.

$\frac{2 \cdot 585}{2 \cdot 8}$

Step 3.2.3

Rewrite the expression.

$\frac{585}{8}$

Step 4

Divide.

$73.125$

Step 5

The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

$73.1$