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
horrorfan [7]
3 years ago
6

The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in

either college or high school:
High Low Q1 Q3 IQR Median Mean σ
College 20 6 8 18 10 14 13.3 5.2
High School 20 3 5.5 16 10.5 11 11 5.4


Which of the choices below best describes how to measure the spread of these data?
(Hint: Use the minimum and maximum values to check for outliers.)
Both spreads are best described by the IQR.
Both spreads are best described by the standard deviation.
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
The college spread is best described by the standard deviation. The high school spread is best described by the IQR.
Mathematics
1 answer:
nadezda [96]3 years ago
4 0

Answer:

The correct option is;

Both spreads are best described by the standard deviation

Step-by-step explanation:

The given information are;

,                                    College                       High School

High,                              20                               20

Low,                                6                                 3

Q₁,                                   8                                 5.5

Q₃,                                  18                                16

IQR,                                 10                                10.5

Median,                           14                                11

Mean,                              13.3                             11

σ,                                      5.2                             5.4

Checking for outliers, we have

College

Q₁ - 1.5×IQR gives 8 - 1.5×10 = -7

Q₃ + 1.5×IQR gives 18 + 1.5×10 = 33

For high school

Q₁ - 1.5×IQR gives 5.5 - 1.5×10.5 = -10.25

Q₃ + 1.5×IQR gives 16 + 1.5×10.5 = 31.75

Therefore, there are no outliers and the data is representative of the population

From the data, for the college students, it is observed that the difference between the mean, 13.3 and Q₁, 8, and between Q₃, 18 and the mean,13.3 is approximately the standard deviation, σ, 5.2

The difference between the low and the high is also approximately 3 standard deviations

Therefore the college spread is best described by the standard deviation

Similarly for the high school students, the IQR is approximately two standard deviations, the  difference between the mean, 11 and Q₁, 5.5, and between Q₃, 16 and the mean,11 is approximately the standard deviation, σ, 5.4

Therefore the high school spread is also best described by the standard deviation.

You might be interested in
ILL MARK BRAINLIST , pls help n
bearhunter [10]

Answer:

33

Step-by-step explanation:

{x}^{2}  - 5x  -  2 = 0 \\  \\ equating \: it \: with \\ a {x}^{2}  + bx + c = 0 \\ we \: find :  \\ a = 1 \\ b = -  5 \\ c =  - 2 \\  \\  {b}^{2}  - 4ac \\  =  {( - 5)}^{2}  - 4 \times 1( - 2) \\    = 25 + 8 \\   = 33 \\  \\ by \: quadratic \: formula \\  \\ x =  \frac{ - b \pm \sqrt{ {b}^{2} -4ac }   }{2a}  \\  \\ x =  \frac{ - ( - 5) \pm \sqrt{33}}{2 \times 1}  \\  \\ x =  \frac{ 5 \pm \sqrt{33}}{2}...(1)  \\  \\x =  \frac{ 5 \pm \sqrt{n}}{2}...(2)  (given)\\  \\ equating \: equations \: (1) \: and \: (2) \\  \\  \huge \red{ \boxed{n = 33}}

5 0
3 years ago
You have $25,000 to invest. You can find an account (Acount A) that guarantees $925 per year. You also found a simple interest a
Sveta_85 [38]
Account A
A=p+i
A=25,000+(925×5)
A=29,625

Account B
A=p(1+rt)
A=25,000×(1+0.065×5)
A=33,125

How much more did the account B earn
33,125−29,625
=3,500

8 0
3 years ago
Solve -27=19-2x for x
alexgriva [62]
(-27-19=-2x) then you add then you get (-46=-2x) divide by -2 you get 23 
so x=23
3 0
3 years ago
I'm trying to figure this problem out
LenKa [72]
If it the one that says which double fact should you use for
6+5

it would be 5+5
 which is 10 and then you could add the 1 
5 0
3 years ago
Read 2 more answers
The struggle is real...​
ipn [44]
Point Form:
(2, 4), (1, 1)

Equation Form:
x = 2, y = 4
x = 1, y = 1
3 0
3 years ago
Read 2 more answers
Other questions:
  • PLS HURRY!!!! Ebony waited more than 56 minutes in the doctor’s office. Which set of steps shows how to write an inequality that
    8·2 answers
  • What is the displacement of a person that walks 4 miles north, 5 miles east, and 8 miles north? (write units as miles)?
    11·1 answer
  • An angle is 40 more than its complement. What is the measure of that angle?
    11·1 answer
  • Which of the following inequalities does the graph represent?
    5·1 answer
  • Simplify the expression.
    13·1 answer
  • Kayla is choosing silverware with which to eat dinner. There are 3 knives and 7 forks to choose from. How many different silverw
    12·2 answers
  • What is the range of 125 110 115 165 145 180
    11·2 answers
  • Identify the mode: 59, 46, 42, 54, 63, 63, 71, 39, 51, 49, 72, 77,<br> 61,53
    8·2 answers
  • YALL HELP PLEASE I WILL GIVE BRAINLIEST
    11·1 answer
  • Work out the size of angle EDF, giving a reason for your answer
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!