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
Elza [17]
2 years ago
14

Consider the two data sets below:

Mathematics
1 answer:
alina1380 [7]2 years ago
5 0

Answer:

<u><em>Option c) The data sets will have the same values of their interquartile range.</em></u>

<u><em></em></u>

Explanation:

<u>1. The values are in order: </u>they are in increasing oder, from lowest to highest value.

<u>2. Calculate the interquartile range.</u>

<em />

<em>Interquartile range</em>, IQR, is the third quartile, Q3, less the first quartile Q1:

  • IQR = Q3 - Q1

To find the first and the third quartile, first find the median:

<u>Data Set 1</u>: 19, 25, 35, 38, 41, 49, 50, 52, 59

             [19, 25, 35, 38],  41,  [49, 50, 52, 59]

                                         ↑

                                     median = 41

   

<u>Data Set 2</u>: 19, 25, 35, 38, 41, 49, 50, 52, 99

             [19, 25, 35, 38] , 41,  [49, 50, 52, 99]

                                         ↑

                                      median = 41

Now find the median of each subset: the values below the median and the values above the median.

Data set 1: <u>First quartile</u>

                [19, 25, 35, 38],

                            ↑

                           Q1 = [25 + 35] / 2 = 30

                   <u>Third quartile</u>

                   [49, 50, 52, 59]

                                ↑

                                Q3 = [50 + 52] / 2 = 51

                     IQR = Q3 - Q1 = 51 - 30 = 21

Data set 2: <u> First quartile</u>

                   [19, 25, 35, 38]

                               ↑

                               Q1 = [25 + 35] / 2= 30

                  <u>Third quartile</u>

                   [49, 50, 52, 99]

                                ↑

                                Q3 = [52 + 50]/2 = 51

                   IQR = 51 - 30 = 21

Thus, it is shown that the data sets have will have the same values for the interquartile range: IQR = 21. (option c)

This happens because replacing one extreme value (in this case the maximum value) by other extreme value does not affect the median.

<em>An outlier will change the range</em> because the range is the maximum value less the minimum value.

You might be interested in
At a bus station, buses begin their routes at 6 a.M. The schedule for two of the buses is based on the time intervals listed bel
Marianna [84]

Answer:

The next time both will leave the bus station at the same time is 7:15 a.m.

Step-by-step explanation:

Since 15 and 75 are multiples to each other.

So, L.C.M. of 15 and 75 is 75.

So, after 75 minutes both buses will leave the station at the same time.

Also since buses begin their routes at 6 a.m.

So, next time they will meet at

6 hours 0 minutes + 75 minutes = 7 hours 15 minutes = 7:15 a.m.

7 0
2 years ago
Is the graph increasing, decreasing, or constant where -3 &lt; X &lt;-1?
Romashka [77]

Answer:

decreasing

Step-by-step explanation:

since its negative it will slope down

8 0
3 years ago
If a person takes a jump which is half a feet and then gets tired so he takes another jump which is half if the first jump and h
patriot [66]
He will never reach the full foot, this is because if he travels 1/2 of the distance of the previous jump each time there will always be a fraction that is unaccounted for.
3 0
3 years ago
Read 2 more answers
Evaluate x(6)2<br> When x = -4
ehidna [41]

Answer:

-48 is answerrrrrrrrrr

5 0
2 years ago
Read 2 more answers
What is the square root of 45 rounded to the nearest hundredth
lakkis [162]
The square root of 45 is simplified to 3 root 5. Rounded in decimal form, 6.708
4 0
3 years ago
Read 2 more answers
Other questions:
  • A set of data points has a line of best fit of y=-0.2x+1.8. What is the residual for the point (5,1)?
    9·2 answers
  • Graph the slope-intercept equation y=Mx+b<br> y= -3x - 6
    13·2 answers
  • A particular professor is known for his arbitrary grading policies. eachpaper receives a grade from the set{a, a-, b+, b, b-, c+
    7·1 answer
  • What is the final price with discount off 25% off $30
    12·2 answers
  • Help please xxxxxxxxxx
    15·1 answer
  • EASY BRAINLIEST ANSWER ASAP!!
    14·1 answer
  • Helppppppppppppppppp plzzzzzzzzzzz
    10·1 answer
  • Will give brainlyist to whoever can help me or can tell me where to find the answers
    11·1 answer
  • 11. The price of a new
    7·1 answer
  • Find the slope of the line that passes through (-70, 84) and ( 69, -1).​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!