Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

Q: If these data are converted to deviation scores, the last value (15) would have a value of Y 2 9 11…

A: Solution: The mean of Y is

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

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

Q: Assume the average (mean) number of minutes a group of people meditate is 20 minute per day and has…

A: Solution: Let X :  A group of people mediate.  Assumed X be the normal distribution with mean 20…

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 is u: = and the standard deviation is o: =

A: Given,

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

A:

Q: The length of life of 220 incandescent 60-watt lamps was obtained and yielded the frequency…

A: Cumulative frequency: It can be calculated by adding the frequency of the first class interval to…

Q: Find the Z-Score for a IQ  test score of 142 when the mean is 100 and the standard deviation is 15.

A: It is given that the mean and standard deviation are 100 and 15, respectively. The IQ test score is…

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: 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: find the z-score for the value 69, when the mean is 96 and the standard deviation is 5.

A:

Q: Find the​ z-score for the value 55​, when the mean is 79 and the standard deviation is 5.

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

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

A: According to Chebyshev's rule, within 10 standard deviations from mean, lies at least 99% of the…

Q: On a nationwide math test, the mean was 63 and the standard deviation was 10. If Roberto scored 85,…

A: GivenMean(μ)=63standard deviation(σ)=10score(x)=85

Q: find the z-score for the value 95, when the mean is 77 and the standard deviation is 2.

A: Given, mean=77 standard deviation=2 find the z-score for the value 95

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

A:

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

A:

Q: the data set has a size 50, how many observations lie within 2 standard deviations of the mean

A: From the provided information, Sample size (n) = 50 The observations lie within 2 standard…

Q: The data set has size 50. Approximately how many observations lie within one standard deviation to…

A:

Q: The final grades in a math class has a mean of 77 and a standard deviation of 9.77 if the professor…

A: Here we need to find the cutoff for A grade. Given that the top 10% are given A. We assume that the…

Q: 95% of 80 night students scored between 70% and 80% on a quiz. If this data is normally distributed,…

A: Given: Total number of students n=80.             let X  denote the marks of students then,  X ~N(µ,…

Q: What was the cutoff for a failing score? Approximately what percentage of the students failed?

A: The scores on a psychology exam were normally distributed with a mean of 68 and a standard deviation…

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

A: Given: The mean score of a Science test is μ=42. The standard deviation is σ=5. Let X be a random…

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

A: Given Data: Let X represent the total point distribution   Mean=530 Standard deviation=80   X~…

Q: Find the range and standard deviation for the data items in the histogram below. 5 4 Frequency

A: From the histogram, The frequency table is, Data Frequency 10-20 2 20-30 5 30-40 5 40-50…

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: Hello, how do you calculate this? Thank You!

A: Compute the 90% confidence interval for the population mean.Since the sample size is small and the…

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: 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: A quantitative data set has a size of 50. At least how many observations lie within seven standard…

A: Suppose X is a random variable with expectation, μ and standard deviation, σ. Then, for any positive…

Q: The data set has size 90. Approximately how many observations lie within two standard deviations…

A: The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3…

Q: Can you find the mean and the standard deviation?

A: To find the mean and standard deviation of the given data: Mean is the sum of observations divided…

Q: The data set has size 40. Approximately how many observations lie within two standard deviations to…

A: 68-95-99.7-rule: Let X be an observation from a normal distribution, having mean µ and standard…

Q: Find the mean and standard deviation

A: Uniform Distribution :  The uniform distribution is a type of continuous probability distribution…

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: In the given graph, What is the mean and standard deviation?

A:

Q: Find the z-score for the value 80, when the mean is 70 and the standard deviation is 2.

A:

Q: Find the z-score when x is 5, mean equals 7, and standard deviation 3.

A: Solution: Let X be the random variable. Then, the z-score is calculated by using the formula

Q: The coefficient of variation for a data set is the mean divided by the standard deviation, expressed…

A: The provided statement is "False".

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: A successful basketball player has a height of 6 feet 3 ​inches, or 191 cm. Based on statistics from…

A: Given,a basketball player has a height of 6 feet 3 inchesand the Z-score =2.31

Q: A mean of 200 and a standard deviation of 50. Find P60, the score which separates the lower 60% form…

A:

Q: Find the standard deviation for this data set. if a one goal hockey game was added to this data set,…

A: From the plot representing the number of goals scored per game, there are three games in which three…

Q: The variance in a data set is 427. Find the standard deviation. Round to two decimals.

A: The random variable is X. It is given that the variance is 427. We have to find the standard…

Q: What are all the values that standard deviation "s" can possibly take?

A: Standard deviation S=x1;x2n-1and ,Standard deviation is the positive squarew root of the variance…

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.