This past week, the temperature has fluctuated quite a bit. From Monday to Sunday, temperatures in Fahrenheit have been the following: 62, 68, 52, 40, 78, 72, 60. The standard deviation is given as 13 and does not need to be calculated. Convert these daily temperatures into z-scores and give the days that are at least one standard deviation away from the mean.

The observed times (in minutes) it takes a swimmer to complete a race are normally distributed. The z-score for her swimming time this week is . Which one of the following statements is correct interpretation of this z-score?

The following data set represents Mr. Marigold's students' scores on the final. The standard deviation for this data set is 8.41. How many standard deviations are you away from the mean if you scored an 86? \[find your z-score\]

Natalie took her university placement examinations in Spanish and math. In Spanish, she scored 82; in math, she scored 86. The results of the Spanish exam had a mean of 72 and a standard deviation of 8. The results of the math exam had a mean of 68 and a standard deviation of 12. On which exam did Natalie do better, compared with the rest of her peers taking these placement exams?

This year's harvest, the apples had a mean mass of with a standard deviation of . You pick an apple from the harvest and find its mass to be .

What is the z-score of the apple you picked?

What is the -score for a value of 115 when the mean of the population is 103 and the standard deviation is 8?

A population of values has a mean of 43 and a standard deviation of 12. One of the values in the population is 49. What is the Z-score for that value?

The average score on the statistics final exam was 85 and the standard deviation was . Chris scored a . Chris scored higher than what percent of his class?

A population has a standard deviation of and a mean of . One of the values in the population is . What is the z score for that value?

The following data set represents Mr. Marigold's students' scores on the final. The standard deviation for this data set is 8.41. How many standard deviations are you away from the mean if you got all the questions right? \[find your z-score\]