Question

In order to graduate from Ohio, you need to earn 3 points on an Algebra EOC or score remediation
free scores on the ACT and SAT math exams. The EOC exams are normally distributed with a mean of 704.39
and a standard deviation of 36.18. A score of 700 is needed to earn 3 points.
a. Fill in the values of each standard deviation above and below the mean, and make sure to add in the value
of the mean. Answers only are fine.

Answer 1

The mean would be the center value. One line away on either side would be 1 standard Deviation, 2 lines away is 2 deviations and 3 lines away is 3 deviations.

You are told 1 deviation is 36.18

So 2 deviations would be 2 x 36.18 = 72.36 and 3 would be 3 x 36.18 = 108.54

To the left of the middle line subtract from mean

To the right of the middle line add To mean

Number in order from left to right:

595.85, 632.03, 668.21, 704.39, 740.57, 776.75, 812.93

Answer 2

The values of the standard deviation above and below the mean are 595.85, 632.03, 668.21, 704.39, 740.57, 776.75 and 812.93

How to fill the deviation values?

The given parameters are:

μ = 704.39

σ = 36.18

The x values are from the range of -3 to 3.

When x = -3, we have:

Deviation = 704.39 - 3 * 36.18 = 595.85

For other values of x, we have:

• Deviation = 704.39 - 2 * 36.18 = 632.03
• Deviation = 704.39 - 1 * 36.18 = 668.21
• Deviation = 704.39 - 0 * 36.18 = 704.39
• Deviation = 704.39 + 1 * 36.18 = 740.57
• Deviation = 704.39 + 2 * 36.18 = 776.75
• Deviation = 704.39 + 3 * 36.18 = 812.93

Hence, the values of the standard deviation above and below the mean are 595.85, 632.03, 668.21, 704.39, 740.57, 776.75 and 812.93

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