answer.
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
lisabon 2012
13 days ago
5

The data set represents the number of rings each person in a room is wearing. 0, 2, 4, 0, 2, 3, 2, 8, 6 What is the interquartil

e range of the data?
2
3
4
6
Mathematics
2 answers:
Leona [4.1K]13 days ago
4 0
D1,..,d9 = 0,0,2,2,2,3,4,6,8 //there are 9 values, presented in ascending order
Q2 (median) = d5 = 2 //middle value
Q1 = (d2+d3) / 2 = (0+2)/2 = 1
(Q1 represents the median of d1,d2,d3,d4, but as there is no singular middle element among four, the average is computed)
Q3 = (d7+d8) / 2 = (4+6)/2 = 5
interquartile range = IQR = Q3 - Q1 = 5 -1 = 4
final answer: 4

Leona [4.1K]13 days ago
4 0

Answer:

Option C.

Step-by-step explanation:

The provided data set is

0, 2, 4, 0, 2, 3, 2, 8, 6

Rearranging the data in ascending order gives:

0, 0, 2, 2, 2, 3, 4, 6, 8

Next, the data set is divided into four equal segments.

(0, 0), (2, 2), 2, (3, 4), (6, 8)

Now, we see:

Q_1=\dfrac{0+2}{2}=1

Q_2=Median=2

Q_3=\dfrac{4+6}{2}=5

The formula for the interquartile range:

IQR=Q_3-Q_1

IQR=5-1

IQR=4

Thus, the interquartile range calculated is 4, making option C correct.

You might be interested in
Angie baked 100 cookies and 20 brownies. She wants to  split them into equal groups  for the big sale. Each group must have the
zzz [4035]
Avoid repeating the question as it can be perplexing.

Given 100 cookies and 20 brownies,
What is the highest number you can divide them equally by?

To find the greatest common factor,
Factor them:
100 = 2*2*5*5
20 = 2*2*5
Thus, the greatest common factor, which is shared between them, is 2*2*5 or 20.

Calculating further, 100/20=5
20/20=1

This means there are 20 groups, each containing 5 cookies and 1 brownie.


20 groups
7 0
2 days ago
Turkey sandwiches cost $2.50 and veggie wraps cost $3.50 at a snack stand. Ben has sold no more than $30 worth of turkey sandwic
tester [3938]

Answer:

Ben could have sold a maximum of 6 turkey sandwiches.

Step-by-step explanation:

Turkey sandwiches are priced at $2.50, while veggie wraps cost $3.50 at the snack stand.

Our goal is to determine the largest number of turkey sandwiches Ben might have sold.

2. 5 0 x + 3. 5 0 y \leq 3 0

4 veggie wraps were sold (y).

Thus, the inequality is: 2.50x + 3.50(4) < 30

2.50x + 14 < 30

- 14 - 14

2.50x < 16

x

x

Ultimately, Ben could sell a maximum of 6 turkey sandwiches.

4 0
7 days ago
Read 2 more answers
A salesperson has to drive 500 miles. For the first three hours she drove at 65 mi/h. For the next two hours she drove at 55 mil
AnnZ [3900]
       Short answer: 195
First, you multiply 65 by 3, yielding 195 miles.
Then, multiplying 55 by 2 gives you 110 miles.

By summing both distances, you arrive at 305.
From 500, if you subtract 305, you find =195.
4 0
2 days ago
Solve X-9+2wx=y for x
tester [3938]
X - 9 + 2wx = y Add 9 to both sides of the equation to isolate terms. Next, you get x + 2wx = y + 9. After that, factor out x to obtain x (1 + 2w) = y + 9. Lastly, divide every term by (1 + 2w) yielding x = (y + 9) / (1 + 2w).
8 0
9 days ago
Read 2 more answers
The average height of females in the freshman class of a certain college has historically been 162.5 centimeters with a standard
Svet_ta [4341]
To determine if there is evidence suggesting a change in average height, we can conduct a right-tailed test and formulate both null and alternative hypotheses.

H₀ (null hypothesis): μ = 162.5
H₁ (alternative hypothesis): μ > 162.5

With two samples to analyze, we can calculate the z-score using the formula provided below.

Z = \frac{(\chi - \mu)}{ \sigma / \sqrt{n}}

In this formula, Z symbolizes the z-score, Χ denotes the new sample mean, μ indicates the theoretical average, δ represents the standard deviation, and n signifies the sample size. Based on the gathered values, 

Z = \frac{(165.2 - 162.5)}{6.9 / \sqrt{50}}
Z \approx 2.77

Assuming a significance level of α = 0.05. With a z-score of 2.77, we can reference the z-table to ascertain the p-value. This yields P(Z > 2.77) =.0028. Since our p-value is below α, we reject the null hypothesis, indicating that the average height of female freshman students has indeed shifted.
 


3 0
7 days ago
Read 2 more answers
Other questions:
  • Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is viable solutio
    7·1 answer
  • What is 0.002 1/10 of
    6·1 answer
  • each day last week I sold 32, 45, 47, 63 and 72 product accessories. What was the median number of accessories sold for the week
    8·1 answer
  • Triangle E F G is shown. Which statements regarding Triangle E F G are true? Select three options. E F + F G greater-than E G E
    9·2 answers
  • Line RS intersects triangle BCD at two points and is parallel to segment DC. Triangle B C D is cut by line R S. Line R S goes th
    13·1 answer
  • Jessica wants to calculate her grade in her accounting class.she has four test grades (82, 65, 71, and 77) and a homework grade
    6·1 answer
  • A company surveyed 100 newer employees. These employees were chosen at random from the company's database, and only employees wi
    12·1 answer
  • If mBC = (9x-53) and mCD = (2x + 45) find mBAD
    9·1 answer
  • What is the relative frequency of the revenue earned by B&amp;B Motors from sales of mini trucks compared to the total sales rev
    14·2 answers
  • What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 144) (one-
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!