Suppose that the distribution of scores on an exam is closely described by a normal curve with a mean of 100. A score of 80 is the 16th percentile. Given this information, what score is the 50th percentile?

Q: If you know that you have data that follows a normal distribution with a mean of 75 and standard…

A: Solution: Let X be the random variable. From the given information, X follows normal distribution…

Q: In a college class, the average IQ is 115. Assume that the distribution is normal and that the…

A: In a college class, the average IQ is 115. Assume that the distribution is normal and that the…

Q: The mean can be thought of as the balancing point of a distribution. According to this description,…

A: Mean          A mean is the simple mathematical average of a set of two or more numbers. The mean…

Q: for this set of data, the standard deviation is equal to: 9,8,10,5,5,2,3,6,3

A: Mean:The formula for finding mean is shown below:

Q: Suppose a population is known to be normally distributed with a mean, equal to 116 and a standard…

A: Given dataMean = 116Standard deviation = 14Probability that population would be between 116 and 130…

Q: What percent of data points fall in the range of z=-1.5 and z=1.5 standard deviations of the mean

A: From the provided information, The range is between z = -1.5 to z = 1.5

Q: A population with a mean of µ = 15 has 40 scores. What is X?

A:

Q: The mean for a data set is 75, the standard deviation is 4, and the z score is -0.19, what is the…

A: We have given that,  From the normal distribution with mean (mu) = 75 and standard deviation (sigma)…

Q: According to Chebyshev's rule, within 10 standard deviations from the mean, lies at least of any…

A: Given Information: According to Chebyshev's rule, within 10 standard deviations from the mean, lies…

Q: Suppose a population is known to be normally distributed with a mean, equal to 116 and a standard…

A: Given dataMean = 116Standard deviation = 14Probability that population would be between 88 and 102…

Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: The standard deviation of 15 scores was 5 and the mean was 85. What was the variance?

A: We have given that  N=15 Mean=85 Standard deviation=5 Note: According to Bartleby Expert guidelines,…

Q: Given that a set of scores have a normal distribution, a mean of 74, and a standard deviation of 5:…

A:

Q: In a population with mean 50 what standard deviation score would have a score of X=45

A:

Q: A sociologist found that in a sample of 50 retired men, the average number of jobs they had during…

A: Given that  Sample size=50 , Mean=6.9 Population Standard deviation=2.3

Q: Which graph shows a normal distribution of student heights with a mean of 170 cm and a standard…

A: Normal Curve :The following are the normal curve properties The normal curve is bell shaped with…

Q: What is the Z value for a value of X = 60?

A:

Q: Which of the following is least affected if an extreme high outlier is added to your data?…

A:

Q: On a final examination in Biology, the mean was 75 and the standard deviation was 12. What is the…

A: Given problem Given that   On a final examination in Biology,  The mean was = μ = 75 The standard…

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 144 and a standard…

A: From the provided information,

Q: What is the sum of the deviation scores for the data in the frequency distribution table below?

A: Sum of deviation  of scores from mean is always zero.

Q: What proportion of scores in a normal distribution fall below z= -1.32 ?

A: The standard normal distribution:A continuous random variable Z is said to follow standard normal…

Q: Suppose a population is known to be normally distributed with a mean, equal to 116 and a standard…

A: The percentage of the population would be between 116 and 144 is obtained below:It is given that the…

Q: On a final exam, the mean mark was 68% and the standard deviation was 12%. If John’s mark was 36%…

A: Given that on a final exam, the mean mark was 68% and the standard deviation was 12%. If John’s mark…

Q: Suppose you have a set of observations that follow a normal distribution with a mean  μ   and…

A: Solution-: Let, X= be the random variable Given: mean=μ,SD=σ We find, (a) P[X-μ<1.75σ]=? (b)…

Q: If the mean is 8, then the mean absolute deviation of the scores 10 9 3 8 10 is?

A: Given mean (μ) = 8 Then Mean Absolute Deviation is given by  1n∑xi-μ

Q: A score that is 6 points below the mean corresponds to a z-score of z = -2.00. What is the…

A: Given: z-score = -2.00 Formula: Where,

Q: A data set with roughly a bell-shaped distribution has mean 45 and standard deviation 12.…

A: The percentage of the observations lie between 33 and 57 is obtained below:Let X be an observation…

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: A score that is 6 points below the mean corresponds to a z-score of z = -1.50. What is the…

A: We have to find population standard deviation from given information. We need to use z score…

Q: In a normally distributed data set of how long customers stay in your store, the mean is 43.5…

A: Given data Mean μ = 43.5 Standard deviation σ = 3.9 95% of your customers to stay in your store.…

Q: If you score 76 on a commercial pilot exam that has a mean score of 70 and a standard deviation of…

A: We have to find given percentile ....

Q: Assume the test scores in your class are normally distributed with a mean of 84. You scored a 96,…

A: Given: mean = 84.

Q: It is often quoted that in a normal distribution, 95% of the data lies 1.96 deviations either side…

A: Let X be the random variable   X~ Normal (0, 1)

Q: 2. In a departmental examination on statistics, the mean grade was 64 and the standard deviation was…

A: Determine the number of students took the examinations.   The number of students took the…

Q: A distribution has a mean of 75 and a median of 70. This distribution is probably positively skewed

A:

Q: Suppose that the heights of 4-year old boys are normally distributed with a mean of 103cm and a…

A: Let X be the random variable from normal distribution with mean (μ) = 103 cm and standard deviation…

Q: In a study of 400 people, the mean age is 50 years and the standard deviation of age is 10 years.…

A:

Q: If a number is added to a data set which is far away from the arithmetic mean the what happens to…

A: There are two properties regarding the addition of a number to a data set and its effect on standard…

Q: Suppose the scores on a college entrance examination are normally distributed with a mean of 525 and…

A:

Q: In a science test, the mean score is 42 and the standard deviation is 5. Assuming the scores are…

A: (a) Obtain the percent of score is greater than 48. The percent of score is greater than 48 is…

Q: Suppose that Jett achieves a score of 1250 on the SAT, and his sister Kate scores 29 on the ACT. The…

A: Given information- For SAT scores- Population Mean µ = 1100 Standard deviation (σ) = 250 For ACT…

Q: The ratio of the mode of this distribution to the median is:

A:

Q: If a distribution is normal with μ = 60 and σ = 15, what proportion of the scores fall between 60…

A: If X~N(μ,σ2), then Z=X-μσ is called the standard normal variate. The mean and variance of a standard…

Q: 3. The annual per capita consumption of ice cream (in pounds) in the Philippines can be approximated…

A:

Q: An instructor in a large lecture class found, at the end of the semester, that the total point…

A: It is given that mean and standard deviation are 530 inches and 80, respectively.

Q: If the coefficient of variation for a data is given as  35%, and the standard deviation for the same…

A: Given that Coefficient of variation, C.V =  35% And the standard deviation is SD = 32

Q: THE SCORES ON A SCIENCE TEST HAD AN AVERAGE OF 78 AND A STANDARD DEVIATION OF 3. WHAT PERCENT OF…

A: Given,mean(μ)=78standard deviation(σ)=3

Q: The data set has size 80. Approximately how many observations lie within two standard deviations to…

A: Empirical rule: On a normal distribution about 68% of data will be within one standard deviation of…