0
What is the standard deviation of the scores 100 92 94 95 81 82 87 89 71 71 73 61 62 68 51 55?
Wiki User
∙ 10y ago
The standard deviation of the scores 100 92 94 95 81 82 87 89 71 71 73 61 62 68 51 55 is: 15.1921
Wiki User
∙ 10y ago
Add your answer:
Earn +20 pts
What is the standard deviation of these six scores 51 10 19 32 23 47 67?
For 51 10 19 32 23 47 67: σ=20.2308
How do you interpret if this is the data SD of 15.79 and mean of 126.9 or SD of 8.29 and mean of 124.7 also How do you know if the standard deviation is high and is there a highest possible SD?
n probability theory and statistics, thestandard deviation of a statistical population, a data set, or a probability distribution is the square root of itsvariance. Standard deviation is a widely used measure of the variability ordispersion, being algebraically more tractable though practically less robustthan the expected deviation or average absolute deviation.It shows how much variation there is from the "average" (mean). A low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.For example, the average height for adult men in the United States is about 70 inches (178 cm), with a standard deviation of around 3 in (8 cm). This means that most men (about 68 percent, assuming a normal distribution) have a height within 3 in (8 cm) of the mean (67-73 in (170-185 cm)) - one standard deviation, whereas almost all men (about 95%) have a height within 6 in (15 cm) of the mean (64-76 in (163-193 cm)) - 2 standard deviations. If the standard deviation were zero, then all men would be exactly 70 in (178 cm) high. If the standard deviation were 20 in (51 cm), then men would have much more variable heights, with a typical range of about 50 to 90 in (127 to 229 cm). Three standard deviations account for 99.7% of the sample population being studied, assuming the distribution is normal (bell-shaped).
What does the standard deviation of a data set tell us about the data and why is the standard deviation an important measure?
Standard Deviation Explained:Standard deviation is a simple measure of width of a distribution of numbers (usually scores or measurements). It is the next high degree of sophistication of characterizing a bunch of number other than just giving the average ( or mean, median, mode). If you know the average, you do not know how tightly the numbers are clustered around the average, that is what the standard deviation tells you. It is one definition, the most common definition, of the width of a distribution. (There are, of course, many other additional characterizations.)It is important because it tells you if the average is a very useful quantity to use to interpret the data. If someone tells you that the average person your age dies in 50 years, that seems important, but if someone says that the average person dies in 50 years, give or take 20 years, suddenly you realize there is more to the story and maybe you should save more money, just in case. Well, the "give or take" part of that statement is very useful, but not well defined. If they say the life expectancy is 50 years with a standard deviation of 20 years, then that is perfectly defined mathematically. Standard deviation is a mathematical measure of the broadness of the distribution of data.The following two data sets, A and B, have the same mean (average):A: 48, 49, 50, 51, 52B: 30, 40, 50, 60, 70The distribution of the data about the mean in A is very narrow, whereas the distribution about the mean in B is broad. The S.D. gives us a quantification of the broadness of the distribution.In normal distributions, about 68 percent of the data will fall within one S.D. on either side of the mean. About 96 percent of the data will fall with two S.D.Let's say your teacher gives a test to one hundred kids and the test average is 80 points and the S.D. is 10. If the distribution is "normal," about 34 kids will score between 70 and 80, and about 34 kids will score between 80 and 90. We can also predict that about 14 kids will score between 90 and 100, and 14 will score below 70. That leaves four kids. They fall into two groups: they either totally bombed the test, or they got the extra credit question to boost their score over 100!
What proportion of cars with a mean fuel usage of 57 miles per gallon and a standard deviation of 3.5 mpg and the mpg is approximately normally distributed get 51 mpg or less?
z = (x - mean_x)/standard_deviation → z = (51 - 57)/3.5 = -1.71 Being negative, it shows it is less than the mean; only the absolute value needs to be considered Looking up z = 1.71 in normal tables gives a value of 0.4564 which is the probability that the value lies between 51 and 57, so the probability of it being less than 51 is 0.5 - 0.4564 = 0.0436 = 4.36 % The probability of getting less than 51 mpg is approx 4.36 %
What is the probability you will be dealt 2 aces from a standard 52-card deck?
The probability is 4/52 for the first ace and 3/51 for the second. So the probability of 2 aces is 4/52 x 3/51 = 1/221
What is the standard deviation of these six scores 51 10 19 32 23 47 67?
For 51 10 19 32 23 47 67: σ=20.2308
What is the range and standard deviation of 26 43 51 29 37 56 29 82 74 93?
The standard deviation = 23.856
What is the standard deviation of 51 64 35 74 42 62 34 39 52 77?
15.72683482 is the standard deviation for that set of numbers.
Find standard deviation of nos 45 42 33 38 47 51 35 60?
8.919280881 is the standard deviation for those numbers.
Standard deviation of 51 11 21 394145?
For 51 11 21 394145: σ = 197,058.6674
How do you write one and 51 millionths as a standard form?
One and 51 millionths (1.000051) in standard form is 1.000051 × 100
In standard form how do you write fifty-one hundredths?
51/100 = 0.51 and in standard form 5.1*10-1
What is 51 out of 100?
51%
What is 5.51 as a fraction in simplest form?
Set 5 aside..51= 51/100-------------------so5 and 51/100-------------------------changed to improper fraction(100*5+51)/100= 551/100--------------------simplest form
How do you interpret if this is the data SD of 15.79 and mean of 126.9 or SD of 8.29 and mean of 124.7 also How do you know if the standard deviation is high and is there a highest possible SD?
n probability theory and statistics, thestandard deviation of a statistical population, a data set, or a probability distribution is the square root of itsvariance. Standard deviation is a widely used measure of the variability ordispersion, being algebraically more tractable though practically less robustthan the expected deviation or average absolute deviation.It shows how much variation there is from the "average" (mean). A low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.For example, the average height for adult men in the United States is about 70 inches (178 cm), with a standard deviation of around 3 in (8 cm). This means that most men (about 68 percent, assuming a normal distribution) have a height within 3 in (8 cm) of the mean (67-73 in (170-185 cm)) - one standard deviation, whereas almost all men (about 95%) have a height within 6 in (15 cm) of the mean (64-76 in (163-193 cm)) - 2 standard deviations. If the standard deviation were zero, then all men would be exactly 70 in (178 cm) high. If the standard deviation were 20 in (51 cm), then men would have much more variable heights, with a typical range of about 50 to 90 in (127 to 229 cm). Three standard deviations account for 99.7% of the sample population being studied, assuming the distribution is normal (bell-shaped).
What is the number in the middle of 100 and 51?
It is: (100+51)/2 = 75.5
How do you write 1 and 51 milllionths in standard form?
1 and 51 millionths in standard form = 1.000051
