All categories

3 years ago

Which distribution has the greatest spread

1 answer:

4 0

For solving this question we will use the relationship between the range of data and the spread of data. The relationship is that "Higher the Range of the Data, Higher is the Spread and lower the range of the data then lower is the spread".

So, keeping in mind this definition let us proceed and check each option and measure their range.

We know that Range is measured as

Range=(Highest Value of the Data)-(Lowest Value of the Data)

a. 13.7-3.1=10.6

b. 423.6-1.3=422.3

c. 38.4-7.2=31.2

d. 231.4-5.5=225.9

As we can see Option b. has the largest range and as range is a measure of spread then option b is the distribution which has the largest spread.

You might be interested in

In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below shows the number of

n200080 [17]

Answer:

1) Between 0 and 1 minute the rate of change is 25 ft./min

2) Between 1 and 2 minute the rate of change is 0 ft./min

3) Between 2 and 4 minute the rate of change is -12.5 ft./min

Step-by-step explanation:

1) Between 0, and 1 feet, we have;

The rate of change = (Final height - Initial height)/(Final time - Initial time)

The rate of change = (40 - 15)/(1 - 0) = 25 ft/min

Between 0 and 1 minute the rate of change = 25 ft./min

2) Between 1, and 2 feet, we have;

The rate of change = (40 - 40)/(2 - 1) = 0 ft/min

Between 1 and 2 minute the rate of change = 0 ft./min

3) Between 2, and 4 feet, we have;

The rate of change = (15 - 40)/(4 - 2) = -12.5 ft/min

Between 2 and 4 minute the rate of change = -12.5 ft./min

7 0

3 years ago

Kelko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57 and cost an add

Delicious77 [7]

Questions (contd)

(a) For what amount of driving do the two plans cost the same?

(b) What is the cost when the two plans cost the same?

Answer:

(a) 100 miles

(b) $65

Step-by-step explanation:

Given

Plan 1:

$Initial\ Fee = \$57$

$Additional = \$0.08$ per mile

Plan 2:

$Initial\ Fee = \$50$

$Additional = \$0.10$ per mile

Solving (a): Number of miles when both plans are equal

Represent the distance with x and the cost with y

So:

Plan 1:

$y = 57 + 0.08 * x$

Plan 2:

$y = 50 + 0.10 * x$

To solve (a), we equate both plans together; i.e.

$y = y$

$57 + 0.08x = 50 + 0.10x$

Collect Like Terms

$0.08x - 0.10x= 50 - 57$

$-0.02x= -2$

Solve for x

$x = -2/-0.02$

$x = 100$

Hence, 100 mile would cost both plans the same

Solving (b): Cost when both plans are the same:

In this case, we simply substitute 100 for x in any of the y equation.

$y = 57 + 0.08 * x$

$y = 57 + 0.08 * 100$

$y = 57 + 8$

$y = 65$

Hence, the amount is $65

7 0

2 years ago

In Δ LMN, LM=10,LN=5, AND M< L=54*. FIND THE AREA OF LMN TO THE NEAREST TENTH OF A SQUARE UNIT

Setler [38]

Answer:

20.2 units²

Step-by-step explanation:

½ × 10 × 5 × sin(54)

20.22542486

8 0

3 years ago

What is the sum of the interior angles of the polygon shown below

DanielleElmas [232]

Answer:

720 degrees.

Step-by-step explanation:

The sum of the interior angles of a convex polygon with n sides is

180(n - 2) degrees.

In this case, n = 6 sides, so the angle sum is

180(6 - 2) = 180(4) = 720 degrees.

The reason this works is that if you draw a diagonal from one vertex to the others (see attached image), you get 2 fewer triangles than the number of sides. Each triangle contains a total of 180 degrees, so the total of all the interior angles is 180(n - 2).

7 0

2 years ago

What is -4x+y=6 and -5x-y=21 in subsitution

kifflom [539]

Solve for y in the first equation.
y = 4x + 6
Substitute 4x + 6 into the second equation.
-5x - (4x + 6) = 21
Distribute
-5x - 4x - 6 = 21
Combine like terms
-9x = 27
Divide both sides by -9
x = -3
Substitute back into first equation
-4(-3) + y = 6
Solve for y
y = -6

8 0

4 years ago