The table shows the speeds of the 10 fastest roller coasters In the United States. Use the table for #1-9. Fastest Roller Coasters (mi/h) 76 81 85 67 74 72 63 59 73 80 1) Find the mean of the data. 2) Find the median of the data. 3) Find the standard deviation of the data. 4) Find the IQR of the data. 5) Find the mode of the data. 6) Find the range of the data. 7) Interpret the standard deviation in context.

Q: The average exam score of a physics class is 75 points with a standard deviation of 3 points. Peter…

A: Given information Mean µ= 75 Standard deviation σ = 3 Peter’s score x = 72

Q: The distribution of the lengths of a commercially caught fish is bell-shaped with mean 24 cm and…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: *The data show the number of patients in a sample of ten hospitals who acquired an infection while…

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Q: The data describing the hourly output of a production line are normally distributed, with a mean of…

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Q: The table shows the​ 100-meter backstroke and the​ 100-meter butterfly gold medal times​ (in…

A: Given table shows the​ 100-meter backstroke and the​ 100-meter butterfly gold medal times​ (in…

Q: If the variance of the data values in a population is 169, what is the standard deviation of the…

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Q: The mean and standard deviation of players' heights for the 2003 NBA season were H 79.5 inches and o…

A: A z-score (also called a normal score) gives an indication of how far from the mean a data point is.

Q: If the grades are normally distributed and 8 students received a B, how many students took the…

A: Let C denote the grades of students. Given that X follows N(mean = 82, SD = 5), then  Z = (X -…

Q: Find the range, variance, and standard deviation. The heights (in inches) of nine male army…

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Q: In an examination, the mean grade is 81 and the standard deviation is 6. Find the Z-score of the…

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Q: The reading speed of second grade students is approximately normal, with a mean of 90 words per…

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Q: The mean of the data is 25.16 and it's coefficient of variation is 18.75 . Find the standard…

A: The coefficient of variance, COV = sx¯*100 s is the standard deviation x¯ is the sample mean To find…

Q: The line plot shows the surface area, in square feet, of the nine desks sold by Matt's Furniture…

A: Modulus of any number is always positive. i. e., |-a| = a     where, a = all real numbers.

Q: ather drops his three children off at the movie theater and give nd on a movie and concession…

A: let X1,x2,x3 be the three children. A father drops his three children off at the movie theater and…

Q: If the variance for the weight of a sample of six boxes is 28.2 kilograms squared, what is the…

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Q: The table on the right gives the annual income for eight families, in thousands of dollars. Find the…

A: Given that following data Family Income x A 49 B 51 C 46 D 48 E 47 F 48 G 45 H 50…

Q: Using your calculator, find the range and standard deviation, round to two decimals places: The…

A: Given information- We have given the table below gives the number of hours spent watching TV last…

Q: Using your calculator, find the range and standard deviation, round to The table below gives the…

A: We know that Range : It the difference between the maximum value of the data set to the minimum…

Q: The distribution of the weights of patients at a local urgent care clinic is Normal, with a mean of…

A: a) The probability that  is equal to the blue area under the curve. Since μ = 150, σ = 10.6…

Q: Steven ran the 100 meter dash in 13 seconds.  What is his T-score if the class mean was 14 seconds…

A: t statistic

Q: (a) the range and (b) the standard deviation of the set of data.

A: NOTE: PLEASE ASK TWO DIFFERENT QUESTIONS INDIVIDUALLY. PLEASE ASK THE SECOND QUESTION AGAIN. WE CAN…

Q: Find the mean absolute deviation of the fulfilled items on Sherrie's registry. $29 , $58, $15, $129,…

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Q: Find (a) the range and (b) the standard deviation of the set of data. 62, 47, 41, 56, 47, 44, 53

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Suppose the mean percentage in Algebra 2B is 70% and the standard deviation is 8%. What percentage…

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Q: and II error (in words). Analyze the scenario and formulate situations where type I and type II…

A: Given: Sample size = 100 Sample standard deviation = 6 Sample mean = 160 Hypothesized mean = 158.2

Q: The average travel time to work for a person living in Kokoma, Indiana, is 17  minutes.  Suppose the…

A: Solution: Let X be the average travel time to work for a person living in Kokoma  Indiana has normal…

Q: Find the standard deviation for the group of data items.   15​, 15​, 15​, 17​, 17​,

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Q: Which of the following is the best estimate of the standard deviation of the distribution in the…

A: The tip of the normal curve represents the mean So, Mean = 97 Now, Given values, μ-σ=88μ+σ=106

Q: In an Algebra class, the scores on a test are normally distributed. The middle 68% of the scores…

A: Given information middle 68% of the scores fall between 76 and 88 As per empirical Rule 68% falls…

Q: CO LO Translate Mikayla and April began arguing about who did better on their tests, but they…

A: Solution The one who have a  higher  score did better.

Q: Which would you expect to be the larger standard deviation: a. The standard deviation of the weights…

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Q: Which of the following could be the standard deviation of a data set with a median of 10 and a range…

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Q: Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest…

A: Hello There! there are more than 3 subpats in the question. According to our policies cannot answer…

Q: figure the standard deviation of the distribution of means for a population with a standard…

A: Population standard deviation is given and sample standard deviations have to be calculated for…

Q: An instructor gives a 100-point examination in which the grades are normally distributed. The mean…

A: Given : mean (μ) =65standard deviation (σ) = 12

Q: The following data is for the hours of effectiveness for a drug for six patients. Drug A: 19 hours,…

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Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 263 days…

A: According to the provided information, Mean (x̅) = 263 Standard deviation (σ) = 15 Significance…

Q: Both data sets have a mean of 165. One has a standard deviation of 16, and the other has a standard…

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Q: Rico used the Internet to survey the per quart of synthetic motor oil for his high-performance…

A: Calculate Sample Standard deviation (S) from the following grouped data X Frequency 372.20 1…

Q: Which of the following best describes how to measure the spread of the dala? The IQR is a better…

A: The IQR is the best measurement of spread for games and movies.

Q: Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest…

A: The formula for calculation of z – score is shown below                   z = (x – xbar)/sd where, x…

Q: In normally distributed data, what percent of the data lies on the interval 2 standard deviations…

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Q: The data sets give the number of platinum albums for the five male artists and the five female…

A: Given :  The data sets showing the number of platinum albums for the five male artists and the five…

Q: Using your calculator, find the range and standard deviation, round to two decimals places: The…

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Q: Which student received the highest grades from the quizzes?

A: here given , Jasmine, Jamal, and Jessa all got the same mean grade (2.7) on their quizzes last…

Q: Ronnie and Loida who are best friends took a college entrance examination. The mean score and the…

A: The z score is used to estimate the number of observation deviation from the mean. The z score is…

Q: he table shows kayden's quiz score for a semester. What are the mean and the standard deviation,…

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Q: Use Z-scores to determine which is a better relative golf score (remember that in golf, lower scores…

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Q: Valentina obtained a score of 75 in a science exam and 90 on her English exam. on which test did she…

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Q: A population consists of all the weights of all defensive tackles on a university’s football team.…

A: Enter the data in EXCEL as shown below.

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.