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Tanya [424]
3 years ago
15

Find the standard deviation for the group of data items 4, 4, 4, 4, 6, 8 The standard deviation is (Simplify your answer. Round

to two decimal places as needed.)
Mathematics
1 answer:
marysya [2.9K]3 years ago
5 0

Answer: 1.53

Step-by-step explanation:

The given data : 4, 4, 4, 4, 6, 8

Number of data values : n= 6

The mean value of the given data will be  :-

\overline{x}=\dfrac{\sum_{i=1}^{6}x_i}{n}\\\\\Rightarrow\ \overline{x}=\dfrac{30}{6}=5

The formula to find standard deviation:_

\sqrt{\dfrac{\sum(x-\overline{x})^2}{n}]

Now,

\sum_{i=1}^{6}(x_i-\overline{x})^2=(-1)^2+(-1)^2+(-1)^2+(-1)^2+(1)^2+(3)^2\\\\=1+1+1+1+1+9=14

The standard deviation will be :-

\sigma=\sqrt{\dfrac{14}{6}}\approx1.53

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A group of three friends
Darina [25.2K]

Answer:

$4

Step-by-step explanation:

Each of the three friends orders a combo. If each drink is $2.50 and there are three drinks, that means the total cost of the pizza is $24. There are three combos, each with two slices of pizza, meaning there are six slices of pizza total. Then you divide 24 (the total cost of the pizza) by 6 (the total amount of slices), getting $4 per slice.

8 0
2 years ago
A college statistics class at a nearby university has 1,000 students enrolled in it. On a recent exam, the mean score was 75% wi
IceJOKER [234]

Answer:

38.11%

Step-by-step explanation:

Given that:

Mean (μ) = 75, standard deviation (σ) = 5

Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:

z=\frac{x-\mu}{\sigma}

To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.

For x = 73, the z score is:

z=\frac{x-\mu}{\sigma}=\frac{73-75}{5} =-0.4

For x = 78, the z score is:

z=\frac{x-\mu}{\sigma}=\frac{78-75}{5} =0.6

From the probability distribution table:

P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%

4 0
3 years ago
a grocery store earns 5% on all canned goods. if the store sold $1635 of canned goods, what was the profit?
Likurg_2 [28]

Answer: $817.50

Step-by-step explanation: i did maths

6 0
4 years ago
The dot located in the middle of the segment
True [87]

If your asking for what that would be called cause I don't understand what your asking but it would be called the midpoint

6 0
3 years ago
There are five cars in line at a stoplight. Each of these cars is a different color and different type of car. Diego is driving
adell [148]
Ok, here we go:
5 cars total.
1. Rachel - first car in line, yellow, SUV
2. blue car (Rachel is in front of the blue car), convertible, Anton
3. minivan - third car in line, Diego
4.  white car, sedan, Ingrid
5. green car, immediately behind white car, Yuna, pickup


We know that Rachel is first, a blue car is second and the minivan is third.  We know that 3, 4 cannot be a convertible since one is a minivan and the other is a sedan.  We also know that a yellow car is in front of the convertible. 

Based off of that we know that car 5 cannot be a convertible since 4 is white and not yellow. So 1 or 2 is the convertible and SUV.  But we know that Rachel is in front of a blue car and the yellow car is in front of a convertible so that makes car #2 the blue convertible and car #1 the yellow SUV. 

Fill in what you do know and start to eliminate the outliers.  Hope that helps.

8 0
3 years ago
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