**Mathematics Exam Distribution Analysis****Introduction:**Scores on a mathematics exam taken by ten-year-old students across Japan are normally distributed with a mean of 520 and a standard deviation of 50.You may use calculator functions or statistical tables to assist in answering the following questions. Show your calculations for questions a), b), c), and e) in the space provided, and put the answer on the line provided.**Questions:**a) **What proportion of students have a score between 520 and 593?** Answer: _______________b) **What proportion of students have a score above 477?** Answer: _______________c) **What proportion of students have a score below 456?** Answer: _______________d) **A student with a score higher than 50% of those taking the exam has a score of...** Answer: _______________e) **A student with a score at the 80th percentile has a score of...** Answer: _______________**Instructions:**Utilize the properties of the normal distribution to find the required proportions or scores. You may refer to a standard normal distribution table or use statistical software/calculators capable of these functions.

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1. Scores on a mathematics exam given to ten-year-old children throughout Japan are Normally distributed with a mean of 520 and a standard deviation of 50. You may use the calculator functions or the tables (your choice) to assist you in answering the following questions. Show your calculator input or your calculations for parts a), b), c), and e) in the space provided between problems and put the answer on the line provided. a) a) What proportion of students have a score between 520 and 593? b) b) What proportion of students have a score above 477 ?

1. Scores on a mathematics exam given to ten-year-old children throughout Japan are Normally distributed with a mean of 520 and a standard deviation of 50. You may use the calculator functions or the tables (your choice) to assist you in answering the following questions. Show your calculator input or your calculations for parts a), b), c), and e) in the space provided between problems and put the answer on the line provided. a) a) What proportion of students have a score between 520 and 593? b) b) What proportion of students have a score above 477 ?

MATLAB: An Introduction with Applications

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**Mathematics Exam Distribution Analysis**

**Introduction:**
Scores on a mathematics exam taken by ten-year-old students across Japan are normally distributed with a mean of 520 and a standard deviation of 50.

You may use calculator functions or statistical tables to assist in answering the following questions. Show your calculations for questions a), b), c), and e) in the space provided, and put the answer on the line provided.

**Questions:**

a) **What proportion of students have a score between 520 and 593?**

Answer: _______________

b) **What proportion of students have a score above 477?**

Answer: _______________

c) **What proportion of students have a score below 456?**

Answer: _______________

d) **A student with a score higher than 50% of those taking the exam has a score of...**

Answer: _______________

e) **A student with a score at the 80th percentile has a score of...**

Answer: _______________

**Instructions:**

Utilize the properties of the normal distribution to find the required proportions or scores. You may refer to a standard normal distribution table or use statistical software/calculators capable of these functions.

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