Standard Deviation
What is the Standard deviation symbol?
The distribution of raw scores on a particular achievement test has a mean of 500 and a standard deviation of 80. If each score is increased by 25, what will the be the mean and standard deviation?
Mean = 525, Standard deviation = 80
What is the acronym for the Binomial Conditions?
BINS
Answer Andy and Jim are going to compete in the 100-meter dash against each other. Let A be the time it takesAndy to complete the race, and J be the time it takes Jim to complete the race. Based on previous results, they know that Ml. A = 11.5 seconds and O A= 1 second. They also know that M = 10.5 seconds and 01= 0.5 seconds
1 sec
What is the probability of getting the 1st "6" on the 4th roll using a six-sided die?
.096
What is Standard Deviation?
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.
Guests at a picnic try to guess the number of candies in a jar. The distribution of guesses has a mean of 85 candies and a standard deviation of 12 candies. Suppose the jar actually holds 105 candies, and we want to subtract 105 from each guess to see how far above or how far below the guess was from the correct number. What will be the mean and standard deviation?
Mean = -20 candies, Standard deviation = 12 candies
Tossing a coin until you get heads is a binomial trial. Is this true?
NO
A factory process requires 3 steps to finish a product. The steps each have a mean completion time of = 10 seconds and a standard deviation of o = 5 seconds. The time it takes to complete each sten isindependent from the other steps. Let I' be the total completion time for the 3 stens
sqrt 75 sec
15% of all cars passing along a certain road are blue. What is the probability that the 7th car will be the first blue car that you see passing along this road?
.057%
What is the population standard deviation for the numbers: 75, 83, 96, 100, 121 and 125?
18.2
Mr. Dennis gave his class a 20 question multiple choice quiz. The distribution of raw scores had a mean of 15 and a standard deviation of 2.5. Mr. Dennis is going to multiply each raw score by 5 so the quiz is worth a total of 100 points. If each score is multiplied by 5, what will be the mean and standard deviation of the distribution of new scores?
Mean = 75 points, Standard Deviation = 12.5 points
What is the standard deviation formula for binomial distributions?
√n x p x (1 - p)
score on a randomly chosen w reek, and D represent the difference between their scores (D = A - B). Assume that dent from each other
Find the standard deviation of D.
OD = 100 pins
Hadassah bowls a strike on 60%, percent of the frames she bowls. Let F be the number of frames Hadassah bowls until she bowls a strike. Find the probability that it takes Hadassah less than 3 frames to bowl her first strike.
.84
A booklet has 12 pages with the following numbers of words:271, 354, 296, 301, 333, 326, 285, 298, 327, 316, 287 and 314
22.6
The amount of cleaning solution a company fills its bottles with has a mean of 33 fl oz and a standard deviation of 1.5 fl oz. The company advertises that these bottles have 32 fl oz cleaning solution. What will be the Mean and Standard deviation of the distribution of EXCESS cleaning solution in mL (1 fl oz is approximately 30 mL).
Mean = 30 mL, Standard deviation = 45 mL
What is the Binomial distribution formula?
nCk x Pk(1 - p)n-k
large bakery uses a machine to dispense frosting onto its cookies. A certain type of cookie gets 4 dots of frosting on top of each cookie. The dots of frosting have a mean mass of u = 3 grams and a standard deviation of a = 0.25 grams. We can assume that the masses of the dots of frosting are independent from each other. Let I be the total mass of the dots of frosting on a randomly chosen cookie Find the mean of I
ur = 12 grams
Anand knows from experience that if he does not review a new vocabulary word that he has learned, that he has a 70%, percent chance of forgetting it each day. Find the probability that it takes Anand and 4 or more days to forget the word.
.027
The average number of reported ghost sightings in U.S. cities on Halloween is 25 with a standard deviation of 4. If St. Joseph reports 27 ghost sightings on Halloween, what percentage of U.S. cities did St. Joseph report more ghost sightings than?
ST Joseph reports 27 ghost sightings which is 27-25= 2= 0.5 x 4 = 0.5 standard deviations away from the average number of reported ghost sightings in U.S. cities on Halloween.
A group of Americans participated in a study that involved taking their temperature during exercise in extreme heat. The participants had a mean body temperature of 104∘F and a standard deviation of 2∘F. The doctors want to convert the degrees to celsius so they use this formula ∘C = 5/9(∘F - 32). If converted what will be the mean and standard deviation of the distribution of new temperatures?
Mean = 40∘C, Standard deviation = 1.11∘C
In a multiple choice quiz of 30 questions with each question having 4 answer choices, what is the probability of getting exactly 5 correct?
.104 or 10.4%
A large bakery uses a machine to dispense frosting onto its cookies. A certain type of cookie gets 4 dots of frosting on top of each cookie. The dots of frosting have a mean mass of u = 3 grams and a standard deviation of o = 0.25 grams. We can assume that the masses of the dots of frosting are independent from each other. Let' be the total mass of the 4 dots of frosting on a randomlv chosen cookie Find the standard deviation of T.
ot = .5 grams
Nuan is using a faulty barcode scanner that misreads barcodes 5%, percent of the time. Let B = the number of barcodes Nuan scans until the scanner misreads one. Assume the success of each scan is independent.Find the probability that Nuan scans greater than 10 barcodes before the scanner misreads one.
.6