Question

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

Hockey scores

Score. Number of students
0. 2
1. 1
2. 3
3, 6
4. 2
5. 3
6. 2

Based on the table, what is the mean hockey score?

2.7
2.9
3.2
5.2

Answer 1

Answer: 3.2

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.

Answer 2

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 = (\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= (60)/(19)`


`Mean= 3.157`

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