Ten people at a party decide to compare ages. Five people are 30 years old, three are 32, one is 31, and one is 65. To illustrate the importance of outliers, suppose the 65-year old walks away from the party. Remaining at the party are the five people who are 30 years old, three people that are 32, and one person that is 31.
Determine the mean age and standard deviation, to the nearest tenth, of the people who remain at the party.
A. The mean age of the remaining people at the party is a0
B. The standard deviation is:
Answers
Ten People
5 people = 30 years old
3 people = 32 years old
1 person = 31 years old
1 person = 65 years old
We need to arrange the ages in order from least to greatest.
30, 30, 30, 30, 30, 31, 32, 32, 32, 65
65 is the outlier.
A.) mean age without the outlier. count of the numbers : 9
5 x 30 = 150
1 x 31 = 31
3 x 32 = 96
total age 277
÷ # of pax 9
mean 30.77 round to the nearest tenth 30.80
b.) Standard deviation:
We need to calculate variance first:
5 pax : 30 - 30.80 = - 0.80 ⇒ -0.80² = 0.64 * 5pax = 3.20
1 pax : 31 - 30.80 = 0.20 ⇒ 0.20² = 0.04 * 1pax = 0.04
3 pax : 32 - 30.80 = 1.20 ⇒ 1.20² = 1.44 * 3 pax = 4.32
Variance : (3.20 + 0.04 + 4.32) / 9 pax = 7.56 / 9 = 0.84
Standard deviation is simply the square root of the variance.
Standard deviation = √0.84 = 0.916
0.916 round to nearest hundredths is 0.92
0.916 round to nearest tenths is 0.90
Related Questions
X2+3x-4-5 what kind of polynomial is this
1)-3a²b² *3a²b5= - 2) (-4 α²b6)³ = 3)-4m³h5.5n².m4= 4) (-3m²² h ²)4
Factor x^2 + 4xy - 12y^2
a miner found three pieces of gold in an under ground mine in 1970 (in 1970 one ounce of gold cost 36.02$). The pieces weighed .080 ounce, .122 ounce, and .096 ounce. Find the total value of gold when it was mined.
Answers
From the Death Valley to Black Mountain, it rises 1032 feet because Death Valley is 1032 ft lower than Black Mountain in elevation.
What is an arithmetic operation?
It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Death Valley CA is 282 feet below sea level.
Black Mountain, KY is 750 feet above sea level.
Death Valley (282ft) + 282ft = sea level (0).
0 + 750ft = Black Mountain (750ft).
282ft + 750ft = 1032ft.
From Death Valley to Black Mountain, it rises 1032 feet. Death Valley is 1032 ft lower than Black Mountain in elevation.
Thus, from the Death Valley to Black Mountain, it rises 1032 feet because Death Valley is 1032 ft lower than Black Mountain in elevation.
Learn more about the arithmetic operation here:
#SPJ2
0 + 750ft = Black Mountain (750ft).
282ft + 750ft = 1032ft.
It takes 1032ft to get from Death Valley to Black Mountain. Black Mountain is 1032ft more feet above sea level than Death Valley. Hope that helps! :)
B. h(x) + 41 = 31x2 + 77x
C. y = 31x2 + 77x − 41
D. y + 41 = 31x2 + 77x
Answers
Answer:
I think the answer is A. y= 31x2 + 77x + 41
Step-by-step explanation:
Final answer:
The function h(x) = 31x2 + 77x + 41 can also be written as y = 31x2 + 77x + 41, as y is often used interchangeably with f(x) or h(x) in mathematical functions. The remaining options do not accurately reformulate the original equation.
Explanation:
The function
h(x) = 31x2 + 77x + 41
can also be written as
y = 31x2 + 77x + 41
. This is because in mathematical functions, y is often used interchangeably with f(x) or h(x), representing the output or dependent variable. It's important to note that, the other options do not correctly represent the original equation. In Option B, the constant term is incorrectly added to the function on the left side; in Option C, the constant term is incorrectly subtracted; and in Option D, the constant term is incorrectly added to 'y' on the left side.
Learn more about Mathematical functions here:
#SPJ11
Answers
Answers
The b in the expression 12.50h + b represents the amount already in the saving account before depositing the next paycheck.
What is an expression?
An expression is a sentence with a minimum of two numbers or variables and at least one operation such as addition, subtraction, multiplication, or division.
We have,
The amount earned per hour = $12.50
The amount earned in her next paycheck = $12.50h
where h = number of hours
The expression that represents the amount of money in her savings account after depositing the next paycheck:
= 12.50h + b
We need to find what b represents in this expression.
b will represent the amount already in the saving account before depositing the next paycheck.
Thus the b in the expression 12.50h + b represents the amount already in the saving account before depositing the next paycheck.
Learn more about expressions here:
#SPJ5
Answer: Current savings account balance
Step-by-step explanation:
since the equation is y = mx + b
mx would be the starting point so she earns 12.50 per hour so it's the current amount she has is 12.50.
Sorry if it dosen't make sense.
$0.45
$1.55
$2.05
Answers
Answers
Answer below.
1. 2
2. 17
3. 16
4. 4
5. 2
6. 8
7. 8
8. 10