Which score indicates the highest relative position? I. A score of 2.6 on a test with X = 5.0 and s = 1.6 II. A score of 650 on a test with X = 800 and s = 200 III. A score of 48 on a test with X = 57 and s = 6

A score of 2.6 on a test with = 5.0 and s = 1.6 and A score of 48 on a test with = 57 and s = 6 indicate the highest relative position.

Step-by-step explanation:

We are given the following:

I. A score of 2.6 on a test with = 5.0 and s = 1.6

II. A score of 650 on a test with = 800 and s = 200

III. A score of 48 on a test with = 57 and s = 6

And we have to find that which score indicates the highest relative position.

For finding in which score indicates the highest relative position, we will find the z score for each of the score on a test because the higher the z score, it indicates the highest relative position.

The z-score probability distribution is given by;

              Z = ~ N(0,1)

where, = mean score

            s = standard deviation

            X = each score on a test

Since we are given that a score of 2.6 on a test with = 5.0 and s = 1.6,

So,  z-score = = -1.5  {where and s = 1.6 }

Since we are given that a score of 650 on a test with = 800 and s = 200,

So,  z-score = = -0.75  {where and s = 200 }

Since we are given that a score of 48 on a test with = 57 and s = 6,

So,  z-score = = -1.5  {where and s = 6 }

AS we can clearly see that the z score of First and third condition are equally likely higher as compared to Second condition so it can be stated that A score of 2.6 on a test with = 5.0 and s = 1.6 and A score of 48 on a test with = 57 and s = 6 indicate the highest relative position.

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step-by-step explanation: