1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eva8 [605]
3 years ago
10

Six different​ second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic re

adings​ (in mmHg) are listed below. Find the​ range, variance, and standard deviation for the given sample data. If the​ subject's blood pressure remains constant and the medical students correctly apply the same measurement​ technique, what should be the value of the standard​ deviation?
Mathematics
1 answer:
Yanka [14]3 years ago
5 0

Answer:

Range=14

\sigma^2 =32.4

\sigma = 5 .7

The standard deviation will remain unchanged.

Step-by-step explanation:

Given

Data: 136, 129, 141, 139, 138, 127

Solving (a): The range

This is calculated as:

Range = Highest - Least

Where:

Highest = 141; Least = 127

So:

Range=141-127

Range=14

Solving (b): The variance

First, we calculate the mean

\bar x = \frac{1}{n} \sum x

\bar x = \frac{1}{6} (136+ 129+ 141+ 139+ 138+ 127)

\bar x = \frac{1}{6} *810

\bar x = 135

The variance is calculated as:

\sigma^2 =\frac{1}{n-1}\sum(x - \bar x)^2

So, we have:

\sigma^2 =\frac{1}{6-1}*[(136 - 135)^2 +(129 - 135)^2 +(141 - 135)^2 +(139 - 135)^2 +(138 - 135)^2 +(127 - 135)^2]

\sigma^2 =\frac{1}{5}*[162]

\sigma^2 =32.4

Solving (c): The standard deviation

This is calculated as:

\sigma = \sqrt {\sigma^2 }

\sigma = \sqrt {32.4}

\sigma = 5 .7 --- approximately

Solving (d): With the stated condition, the standard deviation will remain unchanged.

You might be interested in
Amy is eight years older than twice her cousin Alicia’s age. The sum of their ages is less than 32. Let x represent Alicia's age
Vladimir [108]
Assume that the age of Alicia is x and that of Amy is y
Twice the age of Alicia = 27
Eight years older means we will add 8
Therefore, the statement "<span>Amy is eight years older than twice her cousin Alicia’s age" can be represented as follows:
y = 8 + 2x (equation)
The sum of their ages is less than 32 can be represented as:
x + y < 32 which can also be written as y < 32-x (inequality)
</span>
7 0
3 years ago
Is 2/3 greater then1/5
Greeley [361]
Yes, it is. To find this out, you need to make the denominators the same. They can both multiply into 15, so we change the denominators to 15. Whatever we do to the bottom, we also have to do to the top.

2/3 = 10/15

1/5 = 3/15

We can then see that 10 is more than 3 :)
8 0
3 years ago
It's a math question please help!
Phoenix [80]

Answer:

Ok

Step-by-step explanation:

I will help you or maybe

4 0
3 years ago
K is the midpoint of JL. JK = 2x + 5 and JL = 50.
Sergeu [11.5K]
Steve set the equation equal to 50 which is the entire length of JL. instead he should've set the equation equal to 25, since it's half of 50 and would represent the midpoint. he should've said 2x + 5 = 25
8 0
3 years ago
Find the midpoint of points A (5,-6) and B(2,0) graphically​
netineya [11]
I think its (3.5, -3)
8 0
2 years ago
Other questions:
  • In official NHL hockey puck is shaped like a cylinder with a diameter of 3 inches and a volume of 7.1 in.³. What is the height o
    10·1 answer
  • What is 8a = 5a + 21 please and thank you
    14·2 answers
  • Which is the point-slope form of an equation for the line that passes through (0, –5) with slope 2?
    5·1 answer
  • I need help on my homework! 50 points.
    12·1 answer
  • Calculate the heat required to melt 1 g of gold at its melting point. The specific heat of fusion for gold is 64.5×103 J/kg.
    13·1 answer
  • What is the vertex of the following parabola?
    13·1 answer
  • Find W:<br><br> (14w + 50)<br> 35<br> (28w - 45)
    14·1 answer
  • Fred got a score of 80 on the test. Enter a division sentence using negative numbers where the quotient represents the number of
    5·1 answer
  • Pls help me with math cinda easy
    10·2 answers
  • The garden shown at right is divided into two section by a fence. If the quadrilateral section is a square, what is the square a
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!