Jack had an average score of 75 with a standard deviation of 3. Mikes z-score was 1.85. His actual score was

Q: On a nationwide math test, the mean was 75 and the standard deviation was 7. If Roberto scored 70,…

A: The z score indicates how many standard deviations that a data points away from the mean. It can be…

Q: On a math exam, Joel had a score o 90, which was exactly 2 standard deviations above the mean. The…

A: Since, we only do up to three sub parts of a problem, we'll be doing the first three sub parts only.…

Q: On a nationwide math test, the mean was 51 and the standard deviation was 4. If Roberto scored 70,…

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Q: A group of students wrote an entrance Math exam and the scores were normally distributed. The mean…

A: The scores were normally distributed with mean 750 and standard deviation 95 μ=750σ=95 Z-score is…

Q: On a nationwide math test, the mean was 60 and the standard deviation was 7. If Roberto scored 90,…

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Q: John receives a 65% on his math test assume that the average grade on the test for his class is 44%…

A: The standard normal variable Z is defined as, Z = (X – µ)/σ, where µ is the mean of the random…

Q: In another company, every worker received a 5% raise. How does this affect the mean salary? The…

A: Every worker received a 5%. The mean defines that the center or average of the data and it is…

Q: Linus was visiting the great pumpkin patch where he decided to buy a pumkin from a section of the…

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Q: On a nationwide math test, the mean was 57 and the standard deviation was 10. If Roberto scored 80,…

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Q: The mean grade on a science test was 79 and there was a standard deviation of 6. If your sister…

A: The z score explains the deviations of the observations from the mean. It is calculated using the…

Q: can you find the mean and standard deviation?

A: Let the male data set is denoted by x, then the mean is given by the formula x¯=∑xxn. Where, the…

Q: On a national achievement test score was 850 with a standard deviation of 100. What proportion of…

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Q: On a nationwide math test, the mean was 69 and the standard deviation was 7. If Roberto scored 80,…

A: Given,mean (μ)=69standard deviation (σ)=7andRoberto score(X)=80

Q: On a spelling test, the standard deviation is equal to 0.94. What does this mean

A: We know that the Standard deviation tells us that how much data is scattered around the mean value…

Q: lies

A: Let X be the random variable such that the  daily water usage per person in Quezon City. The daily…

Q: Sean receives a 65% on his math test assume that the average grade on the test for his class is 44%…

A: Given: Score of Sean = x = 65 Population mean of the grade of the test= μ = 44 Standard deviation of…

Q: Suppose you were told you scored two standard deviation below the mean on a measure where the main…

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Q: Laura learned that the average GPA in her school is 3.6 with a standard deviation of 0.3. If her GPA…

A: From the given information,   Mean = 3.6 Standard deviation = 0.3   The objective is to find the…

Q: The mean of a test score was 21.2 and the standard deviation was 5.1 . Identify the rest scores that…

A: Given Data Mean µ= 21.2. Standard Deviation σ= 5.1. Assuming that the given data is obtained from a…

Q: The temperature recorded at 60 airports in a region had a mean of 67 degrees Fahrenheit and a…

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Q: On a nationwide math test, the mean was 72 and the standard deviation was 7. If Roberto scored 90,…

A: Given that, Mean = 72 Standard deviation = 7

Q: What is the percentile rank of the score 65?   In an English test , the mean is 60 and the…

A: Given X=65μ=60σ=6

Q: The mean grade of Adrian in the standard deviation was 7. In Science, his mean grade was 89 and the…

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Q: The mean height of women is 62 inches with standard deviation of 4 inches. What percent of women are…

A: From the given information, Mean height (µ) = 62 inches Standard deviation (σ)= 4 inches Thus, the…

Q: The mean grade for chemistry exam was 76% with a standard deviation of 6%.the mean grade for…

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Q: The mean height of women is 62 inches with standard deviation of 4 inches. What percent of women are…

A: If a random variable x has a distribution with mean µ and standard deviation σ, then the z-score is…

Q: Tanya takes her Physics test and is told that her Z-score is 3.10. If the class mean was 75 and the…

A: Standard normal distribution:The standard normal distribution is a special case of normal…

Q: The mean score of the students on pre-assessments is 10 and the standard deviation is 2. What was…

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Q: On a nationwide math test, the mean was 57 and the standard deviation was 4. If Roberto scored 90,…

A: Formula for z-score is

Q: Many students did an exam, the mean was 15 and the standard deviation was 32 The highest mark was…

A: Given Mean μ=15, standard deviation σ=32  X=103

Q: On a standardized test, Jose scored an 87 and Mia scored a 74. The distribution of test scores for…

A: Given Data : Population Mean,μ = 76.28 Population Standard Deviation,σ = 7.02

Q: f the class average is 84

A: Here it is given that - Mean (μ) = 84 Standard Deviation (σ) = 5 Let, X be a random variable which…

Q: The mean grade in the Physics examination was 73 and the standard deviation was 8. Determine the…

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Q: On an exam, Tom scored 8 points above the mean and had a z-score of +2.00. The standard deviation…

A: Given: z-score=2 Score above the mean=8

Q: Jared has a mean of 74 on his quizzes, with a standard deviation of 7. On his most recent quiz, he…

A: If the z-score lies within 2 standard deviation away from the mean, then the score is not unusual…

Q: On the past mathematics test, the bottom 20% of students failed to pass the test. The mean for the…

A: The mean of the data is μ=55 and the standard deviation is σ=11 It is also given that 20% of…

Q: My Physics professor announced that top 18% will get A in the class.               Class mean is 72,…

A: Let X= score of a student  Given that X follows a normal distribution with mean=72 and standard…

Q: on the first statistics exam, the class average was 70 with a standard deviation of 6. you scored an…

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Q: After calculating the mean and standard deviation, how do we interpret the result, and when a…

A: The mean is a measure of central tendency and the standard deviation is a measure of dispersion in…

Q: The daily water usage per person in Davao City is normally distributed with a mean of 20 gallons and…

A: Empirical Rule : The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is…

Q: Alicia scored a 70 on her psychology quiz, but the class as a whole averaged a 40. If the standard…

A: From the provided information, Population mean (µ) = 40 Standard deviation (σ) = 10 Let X be a…

Q: On the final exam, your friend scored a 93 and you scored a 85. The scores are normally distributed…

A: Obtain the Z-score for the random variable X equals 85. The Z-score for the random variable X equals…

Q: Brian scored an 80% on a Chemistry Exam. The average on the exam was a 68%, with a standard…

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Q: On a standardized test, Jose scored an 87 and Mia scored a 74. The distribution of test scores for…

A:

Q: The average on the Math section of the SAT was 500 with a standard deviation of 100. What score must…

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Q: The average score on the Stats midterm was 79 points with a standard deviation of 4 points, and…

A:

Q: My spouse, on the other hand is 77" tall. The mean height for men is 70", and the standard deviation…

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Q: The mean for data set is 59, the standard deviation is 4, and the z- score is 0.03, what is the raw…

A: Here given that the mean =59, standard deviation=4, z score=0.04, we need to find the raw score x.

Q: Karen scored a 76 on an exam whose mean is 74 and whose standard deviation is 8. Find her z score.

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Q: On a standardized test, Jose scored an 87 and Mia scored a 74. The distribution of test scores for…

A: