The number of toys owned by eight classmates is shown below:
2 answers:
Answer:
3
Step-by-step explanation:
The first step is to find the mean of the data set
mean = =
= 5
Next take the absolute value of the difference between each data member and the mean, that is
| 4 - 8 | = | - 4 | = 4
| 3 - 8 | = | - 5 | = 5
| 4 - 8 | = | - 4 | = 4
| 5 - 8 | = | - 3 | = 3
| 6 - 8 | = | - 2 | = 2
| 6 - 8 | = | - 2 | = 2
| 8 - 8 | = | 0 | = 0
| 4 - 8 | = | - 4 | = 4
Finally find the mean of the absolute values
mean absolute value = =
= 3
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Answer:
The Cohen's D is given by this formula:
Where represent the deviation pooled and we know from the problem that:
represent the pooled variance
So then the pooled deviation would be:
And the difference of the two samples is , and replacing we got:
And since the value for D obtained is 0.5 we can consider this as a medium effect.
Step-by-step explanation:
Previous concepts
Cohen’s D is a an statistical measure in order to analyze effect size for a given condition compared to other. For example can be used if we can check if one method A has a better effect than another method B in a specific situation.
Solution to the problem
The Cohen's D is given by this formula:
Where represent the deviation pooled and we know from the problem that:
represent the pooled variance
So then the pooled deviation would be:
And the difference of the two samples is , and replacing we got:
And since the value for D obtained is 0.5 we can consider this as a medium effect.