The mean and median of the marks of a group of 75 students in at test were calculated as 27 and 29 respectively. It was later discovered that two observations were wrongly recorded as 53 and 45 instead of 35 and 55. Examine to what extent the calculated value of the above two measures will be affected by the discovery of the errors.

Q: The mean and S.D. of sample of size 10 were found to be 9.5 and 2.5 respectively. Later on an…

A: Mean and Standard deviation is a measure of central tendency. Xi be the ith observation , i=1,2,...…

Q: The mean and standard deviation of 200 items are found to be 60 and 20 respectively. If at the time…

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Q: Database A contains 40 data items and is made up with an equal number of the values of 0 and 100 and…

A: We have given that  Database A: n1=40 , Mean=50,made up with an equal number of the values of 0 and…

Q: A distribution with u = 55 and s= 6 is being standardized so that the new mean and standard…

A: The original distribution has mean of   55 and s = 6. The X-score of original distribution is, 58…

Q: The scores on two standardized tests are normally distributed. The first test had a mean of 52 and a…

A: We first find the z score of 68 on the first test. z score=68-meansd=68-529=169   Let the score of…

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A: The provided information is  n=25x¯=120σ=30µ=100 here the parameters are known then we use…

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A: Johnson examined differences in quality of grades obtained by students on the regular program of a…

Q: The sum of deviations (of actual observations) around the mean are always equal to zero TRUE OR…

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Q: The mean and standard deviation of a set of 100 observations were Worked out as 40 and 5…

A: We have given that Number of observations(n)=100  Corrected mean=40 Standard deviation=5  Mistaken…

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A: Sample size is greater than 30 and the population standard deviation is known. It is appropriate to…

Q: Suppose that a researcher is interested in the possible relationship between the amount of screen…

A: List of formulae : Test statistic : t =rn-21-r2 Where , r is correlation coefficient. r =…

Q: The distribution of the top 1% of individual incomes in the US is strongly skewed to the right. In…

A: Answer: $330,000 is the median and $675,000 is the mean.

Q: Based on the records of the Admissions Office of University X, the mean score of all Grade 11…

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Q: A professor has recorded exam grades for 40 students in his​ class, but one of the grades is no…

A: From the provided information, Number of students = 40 The score on the exam was 82. The mean of the…

Q: A score that is 3 points lower than the sample mean has a z-score of z = -0.25, and a score of X =…

A: Given information: Case-1: z = -0.25  Score (X) = u-3  Sample mean (u) = u  Case-2: z = -0.75  X =…

Q: The majority of the students in Dr. Ahua's Introduction to Public Health course scored between 90…

A: Introduction: If the plotted curve of a distribution has a longer tail to the right or in the…

Q: What is the Differences Between Predicted and Observed Values

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Q: The scores on two standardized tests are normally distributed. The first test had a mean of 58 and a…

A: The first test had a mean of 58 and a standard deviation of 10, and the second test had a mean of 80…

Q: The mean of a distribution is 291, while the median is 217. Which of these statements is likely to…

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Q: There were 200 students and their intelligence were measured. The mean and Standard deviation…

A: N=200 Mean =110 Sd =14

Q: Suppose that a researcher is interested in the possible relationship between the amount of screen…

A: Given information: X represents the amount of screen time each day. Y represents IQ of school-age…

Q: The mean and standard deviations of 200 items are found to be 60 and 20 respectively . But at the…

A: Given No. of items = 200 Wrong mean, x¯=60Wrong sd, s=20Correct value=18,17Incorrect value=3, 67

Q: In the final Examination in Statistics, the mean grade was 82 and the standard deviation was 8. In…

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Q: A distribution of scores has a median of 84 and a mean of 80. Based on this information it appears…

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Q: The mean and standard deviation of 20 items was found to be 10 and 2 respectively. Later it was…

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Q: It is believed that the mean number of chronic conditions amongst the elderly is 1.75. A physician…

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Q: As reported in Runner's World Magazine, the times of finishers in the New York City 10-km run are…

A: Given information- Population mean, µ = 60 minutes Population standard deviation, σ = 7 minutes Let,…

Q: After the analyses, Rosalind found a significant difference in test scores between taking the test…

A: The results are different because it is likely that the test statistic value obtained by Rosalind is…

Q: if the variance of the water temperature in a lake is 28°, then for how many days would a researcher…

A: It is given that margin of error (E) is 3 and the confidence level is 99%.

Q: The earned run average of the two players is 3.7 each but the mean absolute deviation (MAD) for…

A: Mean Absolute Deviation : The MAD is the average of absolute deviations of observations from its…

Q: On a Physicians Licensure Exam with a population mean of 83 and standard deviation of 8. Jenny…

A: It is given that Mean = 83, Standard deviation 8

Q: Based on daily measurements, Brenda's weight has a mean of 200 pounds with a standard deviation of…

A: We know that, Coefficient of variation = (SD/mean)*100 For Brenda Coefficient of variation =…

Q: For a group of 100 candidates the mean and standard deviation of their marks were found to be 60 and…

A: 1] n=100 2] X¯=603] Standrd deviation σ=154] σ2=225

Q: In the same class, Idris scored 82% on a test with a z-score of 1.5 while Malik got 54% with a…

A: From the provided information, Idris scored 82% on a test with z score of 1.5 and Malik got 54% with…

Q: Rick took a test that is known to produce normally distributed grades with a mean of 72 and a SD of…

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Q: The mean marks of 100 students were found to be 40. Later on it was discovered that a score of 53…

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Q: If Sarah scored 78 on her history test which had a mean of 70 and a standard deviation of 3 and she…

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Q: A student obtained the mean and standard deviation of 100 observations as 40 and 5 respectively. It…

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Q: The mean of 15 items was found to be 45. On rechecking, it was found that two items were wrongly…

A: Given: Wrong mean = 45 Number of observations = 15 Incorrect values = 12, 18 Correct values = 32, 28

Q: The average age of senators in the 108th Congress was 58 years. If the standard deviation was 11…

A: Average or mean (μ) = 58 years and standard deviation (σ) = 11 years  Then, We will find the z…

Q: In general,_____% of the values in a data set lie at or below the 94th percential. _______% of the…

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Q: The results of a common standardized test used in psychology research is designed so that the…

A: From the provided information, Mean (µ) = 175 Standard deviation (σ) = 10 X~N (175, 10) Here X be a…

Q: If the mean of x bar is equal to 4.2 and the standard deviation of x bar is .10, what is the percent…

A:

Q: In a sample ofn = 6 scores, five of the scores are och above the mean by one point. Where is the…

A: Consider that the mean is x and the sixth observation is y.

Q: If you pick 6 fruits at random, then 16% of the time, their mean weight will be greater than how…

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Q: Since she scored standard deviations v the mean in economics and standard deviations V the mean in…

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Q: 2. On a standardized test, Sara had a score of 81, which was exactly 2 standard deviations below the…

A: Given : Test score = X = 81 Standard deviation = σ = 3

Q: two fifth grade classes have nearly identical mean scores on an aptitude test, but one class has a…

A: It is given that two fifth grade classes have nearly identical mean scores on an aptitude test, and…

Q: The mean marks of 100 students were found to be 40. Later on it was discovered that a score of 53…

A: Given,sample size(n)=100mean(x¯)=40wrong value=83correct value=53