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timama [110]
2 years ago
10

A psychologist treats 16 patients and records the number of sessions required to complete a behavioral therapy treatment for eac

h patient. she computes ss = 800. assuming the 16 patients constitute all patients under her care (so the population of her patients), what is the standard deviation for these data?
Mathematics
1 answer:
RSB [31]2 years ago
4 0

Hence, the standard deviation for these data is 7.1 sessions

In statistics, the standard deviation is a measure of the volatility or variance of a set of values. [1] A low standard deviation indicates that the values ​​tend to be close to the mean of the set (also known as the mean), and a high standard deviation indicates that the values ​​are more widely distributed. indicate.

Standard deviation can be abbreviated as SD, and in mathematical texts and equations, it is most commonly represented by the Greek lower σ (sigma) for population standard deviation or the Latin letter s for sample standard deviation. It is a target.

The standard deviation of a random variable, sample, population, dataset, or probability distribution is the square root of its variance. It's algebraically simple, but it's actually less robust than mean absolute deviation. A useful property of standard deviation is that, unlike variance, it is expressed in the same units as the data.

Expression

\ sigma = {\ sqrt {\ frac {\ sum (x_ {i}-{\ mu}) ^ {2}} {N}}}

\ sigma = Population standard deviation

N = size mother Population

x_i = Arbitrary value from population

\ mu = Population mean

Learn more about standard deviation   here: brainly.com/question/475676

#SPJ4

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The scores on a math test are normally distributed with a mean of 78 and a standard deviation of 6. The test scores range from 0
Hunter-Best [27]

Answer:

The estimate for the number of students who took the test is 23.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 78

Standard deviation = 6

Since the normal distribution is symmetric, 50% of the students had scores above the mean and 50% had scores below the mean.

Proportion of students who scored between 72 and 90:

72 = 78 - 6

So 72 is one standard deviation below the mean.

Of the 50% of the students who scored below the mean, 68% scored above 72.

90 = 78 + 2*6

So 90 is two standard deviations above the mean.

Of the 50% of the students who scored above the mean, 95% scored below 72.

Then

0.68*0.5 + 0.95*0.5 = 0.815

81.5% of the students scored between 72 and 90.

Nineteen students had test scores between 72 and 90. Estimate the number of students who took the test.

19 is 91.5% = 0.815 of the total number of students.

How much is 100% = 1?

19 - 0.815

x - 1

0.815x = 19

x = \frac{19}{0.815}

x = 23.3

Rounding to the nearest whole number

The estimate for the number of students who took the test is 23.

6 0
4 years ago
A right triangle has a side of length 1 fourth and a hypotenuse of length 1 third. What is the length of the other side?
Marina86 [1]

Answer:

The other side = \frac{1}{12} units

Step-by-step explanation:

A right triangle has a side of length \frac{1}{4} units and;

the hypotenuse is \frac{1}{3}

According to Pythagorean theorem,

a² + b² = c² , where a and b are the two legs of a triangle and c is the hypotenuse.

Lets say a² = (\frac{1}{4}) ^2   and  c² = ((\frac{1}{3} )^2

b² = c² - a²

b² = \frac{1}{9} - \frac{1}{16} = \frac{1}{144}

So b = \sqrt{1/144} = \frac{1}{12} units.

So the other side = \frac{1}{12} units.

5 0
3 years ago
What does the shading on the number line represent
Maurinko [17]
Picture?
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4 0
4 years ago
Answer these both correctly I’ll give brainalist + 13 points
Flauer [41]

Answer: you have it right

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve for x please help
Agata [3.3K]

Step-by-step explanation:

4x + 2 + 3x + 3 = 180 (straight angle)

4x + 3x + 2 + 3 = 180

7x + 5 = 180

7x = 175

x = 25°

6 0
3 years ago
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