Question

Linda asked the students of her class their hockey scores and recorded the scores in the table shown below:

Answer 1

ANSWER

The mean hockey score is 3.2

Step - by - step Explanation

The data given is a frequency distribution table.

The mean is calculated using the formula,

$Mean = \frac{\sum \:fx}{\sum \: f}$

We obtain

$\sum fx$

by multiplying each score by the corresponding number of students and add the products as shown in the picture above

By substitution,

$Mean= \frac{60}{19}$

$Mean= 3.157$

Hence the mean hockey score is 3.2 to the nearest tenth.

Answer 2

Answer: 3.2

Step-by-step explanation:

Mean is sum of values, divided by number of examples.

If we write down score for each student, we will receive a long list of scores:

0,0,1,2,2,2,3,3,3,3,3,3,4,4,5,5,5,6,6

Now let's sum total scores achieved by students:

0+0+1+2+2+2+3+3+3+3+3+3+4+4+5+5+5+6+6 = 60

So sum of our values (scores) is 60.

Number of examples in our case is number of students, so, total number of students is:

2+1+3+6+2+3+2=19

So mean score in this group can be calculated as:

mean

    = total sum / number of examples

    = sum of scores / number of students

    = 60/19

    = 3,158

So closes answer is 3.2.