3. Properties of the normal curve Aa Aa The National Assessment of Educational P

Question

3. Properties of the normal curve Aa Aa The National Assessment of Educational Progress (NAEP) conducts a nationwide assessment of students proidency in nine subjects: mathematics, reading, writing, science, the arts, civics, econonics, geography, and U.5. history The main NAEP assessments are conducted annually on samples of students from grades , 8, and 12 In 1994, the U.S. history scores for male students had a mean of 25g with a standard deviation of 33, Assume that these scores are normally distributed with the given mean and standard deviation. Which of the following are properties of the nornal curve representing the distribution of the scores? Check all that apply. A quarter of the total area under the curve is above 259. one-tenth of the total area under the curve is below 259. one-half of the total area under the curve is below 259. The two ends of the curve approach the horizontal axis but never touch it. The curve is bell shaped, with a single peak over 193. The curve is symmetrical about a vertical line through 325 The value 160 is above the mean. Therefore, below the mean, and the value 358 is of the male students have scores between 160 and 358

Explanation / Answer

correct option are :

one half of the toal area under the curve is below 259

the two ends of the curve approach the horiontal.............

the value 160 is 3 standard deviation below the mean and the value 358 is 3 standard deviation above

the mean therefore 99.73 percentage of the male stuents have score between 160 and 358.

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