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
pogonyaev
3 years ago
5

Hown below are the top 15 market research firms in the United States in 2014 according to the AMA Gold Top 50 Report. Compute th

e mean, median, P50, P40, P85, Q1, Q3, range, and the interquartile range on these data.
Company Sales ($ millions)
Nielson Holdings N.V. $3,194.3
Kantar 952.6
IMS Health Inc. 935.0
Ipsos 574.1
Westat Inc. 563.7
Information Resources, Inc. 504.0
GfK USA 334.5 comScore Inc. 202.7
The NPD Group Inc. 202.3
Symphony Health Solutions 196.5
J.D. Power and Associates 172.9
ICF International Inc. 172.0
Abt SRBI Inc. 155.7
Maritz Research 138.9
dunnhumbyUSA LLC 121.5
Mathematics
1 answer:
Maru [420]3 years ago
8 0

Solution :

Number      Values (X)       $\sum (X_i - \bar X)^2$

    1               121.5            193494.4144

   2               138.9            178489.3504

   3                155.7    164576.2624

   4           172            151616.7844    

   5               172.9            150916.7104

  6              196.5             133137.4144

   7              202.3            128938.4464

  8              202.7            128651.3424

  9              334.5            51474.5344

  10               504            3292.4644

   11              563.7              5.3824

   12       574.1              161.7984

   13                935           139591.9044

  14              952.6        153053.0884

   15     3194.3           6932267.726

Total             8420.7         8509667.624

Mean $\bar X = \sum \frac{X_i}{n}$

              $=\frac{8420.7}{15}$

              = 561.38

Median :

$Q_2 = \left(\frac{1}{2}n+\frac{1}{2}\right)^{th}$value

     $ = \left(\frac{1}{2}\times 15+\frac{1}{2}\right)^{th}$value

    = 202.7

Percentile = $\left(\frac{P}{100} \times n + \frac{1}{2}\right)^{th}$  value

                 = $\left(\frac{50}{100} \times 15 + \frac{1}{2}\right)^{th}$ value

                 = 202.7

Percentile = $\left(\frac{P}{100} \times n + \frac{1}{2}\right)^{th}$  value

                 = $\left(\frac{40}{100} \times 15 + \frac{1}{2}\right)^{th}$ value

                 = 198.82

Percentile = $\left(\frac{P}{100} \times n + \frac{1}{2}\right)^{th}$  value

                 = $\left(\frac{90}{100} \times 15 + \frac{1}{2}\right)^{th}$ value

                 = 1849.28

$Q_1 = \left(\frac{1}{4}n+\frac{1}{4}\right)^{th}$value

     $ = \left(\frac{1}{4}\times 15+\frac{1}{4}\right)^{th}$value

    = 172

$Q_3 = \left(\frac{3}{4}n+\frac{3}{4}\right)^{th}$value

     $ = \left(\frac{3}{4}\times 15+\frac{3}{4}\right)^{th}$value

    = 574.1

Therefore, the range = highest value - lowest value

                                  = 3194.3 - 121.5

                                  = 3072.8

Now the interquartile range = $Q_3-Q_1$

                                              = 574.1 - 172

                                             = 402.1

You might be interested in
Chip work at the animal shelter for 6 hours each week for several weeks he worked for a total of 42 hours which of the following
sasho [114]
7 weeks. You have to divide 42 and 6.
8 0
3 years ago
Read 2 more answers
Quickly answer number 10 text only no fonts (100 points) mark brainliest
Y_Kistochka [10]

There's no picture but soon as you add one so I can see what I'm answering then I will immediately help!

5 0
3 years ago
Plz answer asap its due today 3x + 2y is an example of
nevsk [136]

Answer:

A

Step-by-step explanation:

This isn't an equation because there is no = sign so we can eliminate B and C. Since this has variables in it it's algebraic so the answer is A.

7 0
3 years ago
Read 2 more answers
4/6 + 1/12. Quick answer.
Fynjy0 [20]

nvm lol 3/4( had to redo

6 0
3 years ago
Solve the equation for all real solutions.
horsena [70]

Can you reformat the question?

3 0
3 years ago
Other questions:
  • 10. The numbers —12, —7, —2, 3... follow a pattern. What are the next three numbers in this pattern? 7, 11, 16 5, 10, 15 2, 7, 1
    7·1 answer
  • Use a calculator to evaluate sec 85 degrees
    6·1 answer
  • Help me.. ASAP just number 10 pls
    7·2 answers
  • Which number is 4 units from-1
    10·1 answer
  • Solve the following system of equations <br> x + y =-5 <br> -3x - y =7
    6·2 answers
  • What is wrong with the following equation: 4 + (10 / 5) = 6 - 2
    10·2 answers
  • The circumference of a circle is 22 cm.
    6·1 answer
  • At a soccer tournament 12 teams are wearing red shirts, 6 teams are wearing blue shirts, 444 teams are wearing orange shirts, an
    11·1 answer
  • You Work 6 hours every week at a coffee shop. They pay you $9.00 for every hour you work how much money do they pay you
    8·1 answer
  • Plssssssssss i need help
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!