Mathematics: In a statistics mid-term exam graded out of 100 points, the distribution of the exam scores was bi-modal with a mean of 70 points with a standard deviation of 10 points. what percentage of students scored between 40 points and 100 points?

In a statistics mid-term exam graded out of 100

Ответ:

mhayslett

11.01.2022

Step-by-step explanation:

Assuming a normal distribution for the distribution of the points scored by students in the exam, the formula for normal distribution is expressed as

z = (x - u)/s

Where

x = points scored by students

u = mean score

s = standard deviation

From the information given,

u = 70 points

s = 10.

We want to find the probability of students scored between 40 points and 100 points. It is expressed as

P(40 lesser than x lesser than or equal to 100)

For x = 40,

z = (40 - 70)/10 =-3.0

Looking at the normal distribution table, the corresponding z score is 0.0135

For x = 100,

z = (100 - 70)/10 =3.0

Looking at the normal distribution table, the corresponding z score is 0.99865

P(40 lesser than x lesser than or equal to 100) = 0.99865 - 0.0135 = 0.98515

The percentage of students scored between 40 points and 100 points will be 0.986 × 100 = 98.4%

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Ответ:

kaffolter25

25.07.2021

Mathematics

The approximate side length of the segment WX is given by $\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right]$

The approximate side length of the segment XY is given by $\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right]$

The approximate side length of the segment YZ is given by $\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right]$

The approximate side length of the segment ZW is given by $\left[\begin{array}{ccc}8\\2.11\\1.59\\0.59\end{array}\right]$

The approximate perimeter of quadrilateral WXYZ is $\left[\begin{array}{ccc}14\\14.47\\15\\15.59\end{array}\right]$

Step-by-step explanation:

The perimeter of a figure is the distance around a two dimensional body. In other words we can think perimeter as the distance of a body's boundary.

To find the approximate perimeter of the quadrilateral, all we need to do is to add its respective lengths.

Thus here the sum of its side length gives us the perimeter of the quadrilateral WXYZ.

The approximate perimeter of quadrilateral WXYZ is $\left[\begin{array}{ccc}14\\14.47\\15\\15.59\end{array}\right]$

The approximate side length of the segment WX is given by $\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right]$

The approximate side length of the segment XY is given by $\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right]$

The approximate side length of the segment YZ is given by $\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right]$

Total sum of lengths of the three sides of WXYZ is given by $\left[\begin{array}{ccc}6\\12.36\\13.41\\15\end{array}\right]$

Therefore the value of the other side ZW is given by

$\left[\begin{array}{ccc}14\\14.47\\15\\15.59\end{array}\right] - \left[\begin{array}{ccc}6\\12.36\\13.41\\15\end{array}\right] = \left[\begin{array}{ccc}8\\2.11\\1.59\\0.59\end{array}\right].$

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In a statistics mid-term exam graded out of 100 points, the distribution of the exam scores was bi-modal with a mean of 70 points with a standard deviation of 10 points. what percentage of students scored between 40 points and 100 points?

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