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
Ket [755]
2 years ago
14

Find the mean, median mode(s), range, standard deviation, and variance of the data: 21, 15, 16, 25, 13, 18 5, 3, 2, 6, 5, 2, 5 E

ight car sales men sold cars at a dealership. Here is the distribution of cars sold last month: 6, 45, 52, 43, 48, 41, 50, and 48. Find the mean, median mode(s), range, standard deviation, and variance of the data: Which measure of central tendency best represents the data
Mathematics
1 answer:
kondaur [170]2 years ago
5 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given tbe data :

21, 15, 16, 25, 13, 18 5, 3, 2, 6, 5, 2, 5

Ordered data : 2, 2, 3, 5, 5, 5, 6, 13, 15, 16, 18, 21, 25

Mean, m = Σx /n

Σx = 136

n = sample size = 13

m = Σx / n = 136 / 13 = 10.46

Mode, = 5 (most frequently occurring with frequency of 5)

Median = 1/2(n+1)th term = 1/2(14) = 7th term = 6

Range = maximum - minimum = [25 - 2] = 23

Variance : (V) = Σ(x - m)²/n-1

V = [(2-10.46)^2 + (2-10.46)^2 + (3-10.46)^2 + (5-10.46)^2 + (5-10.46)^2 + (5-10.46)^2 + (6-10.46)^2 + (13-10.46)^2 + (15-10.46)^2 + (16-10.46)^2 + (18-10.46)^2 + (21-10.46)^2 + (25-10.46)^2] / (13-1)

= 745.2308 / 12

= 62.10

Standard deviation = sqrt(V) = sqrt(62.10) = 7.88

2.)

X : 6, 45, 52, 43, 48, 41, 50, 48

Reordered data, X: 6, 41, 43, 45, 48, 48, 50, 52

Mean, m = Σx /n

Σx = 333

n = sample size = 8

m = Σx / n = 333 / 8 = 41.625

Median = 1/2 (n+1)th term = 46.5

Range = 52 - 6 = 46

Mode = 48 (highest occurring frequency of 2)

Variance (V) = Σ(x - m)²/n-1

V = [(6-41.625)^2 + (41-41.625)^2 + (43-41.625)^2 + (45-41.625)^2 + (48-41.626)^2 + (48-41.625)^2 + (50-41.625)^2 + (52-41.625)^2] / 5

= 1541.862251 / 7

= 220.27

Standard deviation = sqrt(Variance)

Standard deviation = sqrt(220.26603)

Standard deviation = 14.84

The median

You might be interested in
3a-2b=50, 2a+3b=100 what does a equal and what does b equal?
harina [27]
A = (350/13) and B = (400/-13)
7 0
2 years ago
Read 2 more answers
The team won 18 of its 30 games. What was the team’s won-lost ratio?
NemiM [27]

Answer:

18:12 (accurate)

3:2 (simplified)

Step-by-step explanation:

The team won 18 games out of 30 total games. Find the amount of games lost by simply subtracting 18 with 30:

30 - 18 = 12

The ratio you are trying to find is won to lost, or won:lost. Plug in the corresponding numbers to the corresponding terms:

won:lost ⇒ 18:12

18:12 is the ratio.

If the teacher asks you to simplify, factor both sides. Divide 6 from both sides:

(18)/6 : (12)/6

3:2

3:2 is your simplified ratio.

~

6 0
3 years ago
Helpppp!!!! brainliest to the first answer ...!
vladimir1956 [14]

Answer:

i cant read it can u do another photo

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Please answer this! Thanks!
Leto [7]

[ [13.9] ] - [ [-8.23] ] +[ [7.04+6.7] ]=35.87

3 0
3 years ago
-1 < 3 + 2x please help me and give right answer for brainliest
MariettaO [177]

Answer:

-2 < x

Step-by-step explanation:

-1 < 3 + 2x

bring the 3 to the other side and minus it

-1 < 2x

-3

______

-4< 2x

now divide 2 by both sides

the two eliminates itself

so it equals

-2< x

8 0
3 years ago
Other questions:
  • If AB represents 50% , what is the length of a line segment that is 100%
    7·1 answer
  • What's 121,580 rounded to the nearest thousand?
    5·2 answers
  • The Food Co-op Club boasts that it has 5,000 members and a 200% increase in sales. Their markup is 36% based on cost. What would
    9·1 answer
  • A weather station on the top of a mountain reports that the temperature is currently 0 ∘ C and has been falling at a constant ra
    8·1 answer
  • <img src="https://tex.z-dn.net/?f=g%28x%29%20%3D%20%28x%20-%201%29%20%7B%7D%5E%7B2%7D%20%20-%203" id="TexFormula1" title="g(x) =
    13·1 answer
  • How many solutions exist for the system of equations on the graph?
    5·2 answers
  • Pls Helpp meee Which one is it??? I will give u brainliest
    8·1 answer
  • 17. 89.64 nearest one
    6·1 answer
  • Ms. Molina was driving at a constant speed. She drove 150 miles in 3 hours. At that speed,
    13·1 answer
  • 23 students want pancakes and 25 students wants waffles .what is the ratio of the number of students who want pancakes to the nu
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!