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
Whitepunk [10]
3 years ago
10

Which data set has the greatest spread for the middle 50% of its data?

Mathematics
2 answers:
vagabundo [1.1K]3 years ago
8 0

Answer:

Option C.

Step-by-step explanation:

The highest Interquartile range represents the greatest spread for the middle 50% of its data.

Find the IQR of each data set.

Option A,

18, 13, 22, 17, 21, 24

Arrange the data in ascending order.

13, 17, 18, 21, 22, 24

Divide the data in 4 equal parts.

(13), 17, (18), (21), 22, (24)

Q_1=17, Median=\frac{18+21}{2}=19.5, Q_3=22

Formula for IQR :

IQR=Q_3-Q_1

The IQR of first data set is

IQR=22-17=5

The IQR of the first data set is 5.

Similarly,

Option B,

17, 19, 22, 26, 17, 14

Arrange and divide the data in 4 equal parts.

(14), 17, (17), (19), 22, (26)

IQR=22-17=5

The IQR of the second data set is 5.

Option C,

13, 17, 12, 21, 18, 20

Arrange and divide the data in 4 equal parts.

(12), 13, (17), (18), 20, (21)

IQR=20-13=7

The IQR of the third data set is 7.

Option D,

18, 21, 16, 22, 24, 15

Arrange and divide the data in 4 equal parts.

(15), 16, (18), (21), 22, (24)

IQR=22-16=6

The IQR of the third data set is 6.

The IQR of third data set is highest, therefore third data set has the greatest spread for the middle 50% of its data.

Therefore, the correct option is C.

schepotkina [342]3 years ago
5 0

Answer:

C) {13, 17, 12, 21, 18, 20}

Step-by-step explanation:

A data with the highest IQR ( interquartile range ) has the greatest spread for the middle 50% of its data,

In option A,

The data set is,

{18, 13, 22, 17, 21, 24}

After arranging in ascending order, the data is,

{13, 17, 18, 21, 22, 24}

Find the median of both lower and upper half,

{13, 17, 18 | 21, 22, 24}

Thus, IQR = Upper median - Lower median = 22 - 17 = 5,

Similarly, We can find the IQR for the other set,

In option B,

The data is,

{17, 19, 22, 26, 17, 14}

So, the IQR = 22 - 17 = 5,

In option C,

The data set is,

{13, 17, 12, 21, 18, 20}

So, the IQR = 20 - 13 = 7,

In option D,

The data set is,

{18, 21, 16, 22, 24, 15}

So, the IQR = 22 - 16 = 6

Hence, by the above explanation it is clear that,

The set {13, 17, 12, 21, 18, 20} has the greatest IQR value,

⇒ The set {13, 17, 12, 21, 18, 20} has the greatest spread for the middle 50% of its data

Option C is correct.

You might be interested in
Jayla drove 7 5/12 kilometers to the post office and 8 1/24 kilometers to a restaurant. What expression can be used to determine
exis [7]

Answer: 7 5/12  + 8 1/24  

Step-by-step explanation:

Hi, to answer this question we simply have to add both distances driven by Jayla:

Distance driven to the post office = 7 5/12 kilometers

Distance driven to the restaurant= 8 1/24 kilometers

Mathematically speaking:

7 5/12 km + 8 1/24 km  

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
The number 629 divided by the number c equals 17
Alex Ar [27]

Answer:

629/c=17

629=17c

Divide both sides by 17

c=37

7 0
3 years ago
Read 2 more answers
Divide 21 by g. Then, subtract 6.
IrinaVladis [17]
21/g - 6 = (21-6g)/g. G
8 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!!!!!!! I CANT GET IT! PLEASE HELP QUICKLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
emmainna [20.7K]

You answer would be 27, if I did my maths correct.

You get 27 by doing:

9*4=36

36-9=27

Correct me if I am wrong thank you!

5 0
2 years ago
Read 2 more answers
What is the solution of StartRoot x + 12 EndRoot = x?
Ber [7]

Answer:

x = 4      or x = -3

Step-by-step explanation:

\sqrt{x+12}=x

Take square both the sides,

(\sqrt{x+12})^{2}=x^{2}\\\\x+12=x^{2}

x² - x - 12 = 0

x² - 4x + 3x - 3*4 =0

x*(x - 4) + 3*(x - 4)= 0

(x- 4 )(x+3) =0

x -4 =0   or x + 3 = 0

x = 4      or x = -3

4 0
3 years ago
Read 2 more answers
Other questions:
  • Two lines, C and D, are represented by the following equations:
    8·2 answers
  • How many 100s are there in 1000? <br><br> Write to explain
    15·2 answers
  • Is this the right answer?
    11·1 answer
  • The number of members f(x) in a local swimming club increased by 30% every year over a period of x years. The function below sho
    11·2 answers
  • 7. Given the vertices of ∆ABC are A (2,-5), B (-4,6) and C (3,1), find the vertices following each of the transformations FROM T
    10·1 answer
  • Solve for b in the literal equation y = 2x + 2b.<br> b =
    12·1 answer
  • £580 is divided between Sushil, Fiona &amp; Pip so that Sushil gets twice as much as Fiona, and Fiona gets three times as much a
    15·1 answer
  • Is 1.9 &lt; 1.39 which comparison is true?
    9·1 answer
  • Banners at the store were on sale for $3 off the regular price. Billy bought 4 banners on sale and paid a total of $20. Write an
    13·1 answer
  • Plz guys I need help
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!