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
kondor19780726 [428]
3 years ago
8

Question a) Compare the Variability of Expenditure of Families in Two Towns given as follows: Number of families Expenditure (Ru

pees) 21-30 31-40 41-50 51-60 61-70 71-80 81-90 Town A 3 61 132 153 140 51 2 Town B 2 14 20 27 28 7 2
Mathematics
1 answer:
Karolina [17]3 years ago
8 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Number of families __________Expenditure

______midpoint (x) ____Town A __Town B

21-30 __25.5____________3 _______2

31-40 __35.5____________61 ______14

41-50 __45.5___________132 _____ 20

51-60 __55.5__________ 153 ______27

61-70 __65.5__________ 140 ______ 28

71-80 __75.5___________ 51 _______ 7

81-90 __85.5___________ 2 _______ 2

The variability is the variance and standard deviation :

The variance (s):

√Σ(x - m)²/Σf(x)

Town A:

m = Σ(X * f(x)) / Σf ; Σf = 542

Σ x * f(x) = (25.5*3) + (35.5*61) + (45.5*132) + (55.5*153) + (65.5*140) + (75.5*51) + (85.5*2)

= 29931 / 542

= 55. 22

Σf(x - m)² / Σf - 1 = [3(25.5-55.22)^2 + 61(35.5-55.22)^2 + 132(45.5-55.22)^2 + 153(55.5-55.22)^2 + 140(65.5-55.22)^2 + 51(75.5-55.22)^2 + 2(85.5-55.22)^2] / 541

= 76458. 4928 / 541

Variance = 141.32808

Standard deviation = √variance

Standard deviation = √141.32808

Standard deviation = 11.89

TOWN B:

m = Σ(X * f(x)) / Σf ; Σf = 100

Σ x * f(x) = (25.5*2) + (35.5*14) + (45.5*20) + (55.5*27) + (65.5*28) + (75.5*7) + (85.5*2)

= 5490 / 100

= 54.90

Variance :

Σf(x - m)² / Σf - 1 = [2(25.5-54.90)^2 + 14(35.5-54.90)^2 + 20(45.5-54.90)^2 + 27(55.5-54.90)^2 + 28(65.5-54.90)^2 + 7(75.5-54.90)^2 + 2(85.5-54.90)^2] / 99

= 16764 / 99

= 169.33

Standard deviation = √variance

Standard deviation = √169.3333

Standard deviation = 13.013

From the result above, Town A has lesser variability than Town B due to the slightly lower variance and standard deviation values.

You might be interested in
HELPP PLEASEEEEEEEEEEEEEEEEEEEEEE<br><br> The sum of 6 and 12 divided by 9.
allsm [11]
6 + 12 = 18
18/9 = 2

The answer is 2

Hope this helps
3 0
2 years ago
Read 2 more answers
What is the y intercept for the equation4x-3y=-18
11Alexandr11 [23.1K]

Answer:

y-intercept: (0,6)

Step-by-step explanation:

You can always use an online graph, it helps a lot c:

3 0
3 years ago
Read 2 more answers
A customer borrowed $2000 and then a further $1000 both repayble in 12 months. What would he have saved if he had taken out one
RSB [31]

A customer borrowed $2000 and then a further $1000 both repayble in 12 months. What would he have saved if he had taken out one loan for $3000 repayable in 12 months?

He took two different loans, it charged him loan processing fee twice, two-time documentation process, and of course, extra time spent for second loan. Instead, he could take single loan of $3000 with one-time processing fee, one-time documentation process, and time-saving also.

8 0
3 years ago
Can someone tell me the slope ?
borishaifa [10]

Answer:

slope = 4

Step-by-step explanation:

We can find the slope of a line when knowing 2 points by using the slope formula, \frac{y_2 - y_1}{x_2 - x_1}. x_1 and y_1 represent the x and y values of the first point, respectively. x_2 and y_2 represent the x and y values of the second point, respectively.

The two points we have are (2,8) and (0,0). So, in this case, x_1 = 2, y_1 = 8, x_2 = 0, and y_2 = 0. Let's substitute those values into the formula and solve to get the slope:

m  = \frac{0-8}{0-2}

\frac{-8}{-2}

4

So, the slope is 4.

3 0
3 years ago
Viết tập hợp dưới dạng liệt kê <br> A = { x € Z : (x^2 + 5x - 6)(2x-1)=0}
love history [14]

Answer:

Step-by-step explanation:

A={1;-6;1/2}

6 0
2 years ago
Other questions:
  • 1/2a+(−7)+1/2a+ 1/3 <br> what is the value of A?
    9·1 answer
  • If the sales tax in your city is 5.6% and an item costs$76 before tax, how much tax would you pay on that item? Round to the nea
    6·2 answers
  • A segment with endpoints X (6, 2) and Y (- 1, - 3) is rotated 90º about the origin. What are the coordinates of X Prime and Y Pr
    6·1 answer
  • Give an example of when and why one would use a continuity correction factor?
    7·1 answer
  • A vertical line contains the points 3,2 and 3,6 use these points and the formula for slope to explain why a vertical lines slope
    13·1 answer
  • Find the measure of 7
    12·1 answer
  • Pete is choosing his clothes for the day. His bottoms will be either cargo shorts(C) or jeans (J). His top will be T shirt (T),
    11·1 answer
  • Convert 12.4 pounds to ounces?
    11·1 answer
  • How are sequences whose consecutive terms differ by a constant modeled, and what can those models tell us?
    9·1 answer
  • The______is the set of inputs For a fraction
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!