# Solve the following equation and questions

**Question description**

2. For the following set of scores, fill in the cells. The mean is 74.13 and the standard deviation is 9.98.

Raw score Z score 68.0 ? ? –1.6 82.0 ? ? 1.8 69.0 ? ? –0.5 85.0 ? ? 1.7 72.0 ?

3. Questions 3a through 3d are based on a distribution of scores with and the standard deviation = 6.38. Draw a small picture to help you see what is required.

a. What is the probability of a score falling between a raw score of 70 and 80? b. What is the probability of a score falling above a raw score of 80? c. What is the probability of a score falling between a raw score of 81 and 83? d. What is the probability of a score falling below a raw score of 63?

4. Jake needs to score in the top 10% in order to earn a physical fitness certificate. The class mean is 78 and the standard deviation is 5.5. What raw score does he need?

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