Standard Scores

in a given normal distribution, the sample mean is 75 and the sample standard deviation is Find the corresponding standard score of the following values: 1. 69 2. 85 3 70 4. 65 5. 80 B. In a given normal distribution, the population mean is 80 and the population standard deviation is 2.5. Find the corresponding standard score of the following values: 1. 78 2. 84 3. 76 4. 85 5. 52 A. Calculate the skewness of the data given below. 1. Mean = 80 Mode = 75 SD = 15 2. Mean = 80 Median = 70 SD - 12 wii3. Mean = 78 . eat Median = 71 SD - 14 4. Mean # 70 Mode - 85 SD = 12 5. Mean #76 moynivel beret Median = 41SD - 10 6. Mean - 85 Mode - 55 SD - 8 7. Mean 65 Mode - 20 SD -20 8. Mean =97 Mode = 48 SD = 13 9. Mean = 90 Median = 75 SD = 7 10, Mean - 45 Mode = 35 SD - 6 Self-Assessment Solve the following problems. 1. On a final examination in Mathematics, the mean was 76 and the standard deviation was 5. Determine the standard score of a student who received a score of 88 assuming the scores are normally distributed. 2. On a test in Statistics, the mean is 65 and the standard deviation is 3. Assuming normality, what is the standard score of a student who receives a score of 60? 3. Lody gets a score of 85 in a Biology test and 80 in a Math test. Scores in the Biology test have a mean of 75 and standard deviation of 5. Scores in the Math test have a mean of 76 and standard deviation of 4. In which subject is her standing better assuming that the scores in the two subjects are normally distributed? 4. The mean score and the standard score in the Statistics test are respectively equal to 80 and 2.5. whereas in the Mathematics tests they are respectively equal to 70 and 2. If Beth got a score of 85 in Statistics and a score of 75 in Mathematics, in which subject is her standing better assuming normality in both subjects? 5. In an English test, the mean is 60 and the standard deviation is 6. Assuming the scores are 50 and 65? normally distributed, what percent of the scores is: a. greater than 65? b. less than 70? c. between