Mathematics Middle School

A data set is displayed using a dot plot. The range of the data is between 50 and 90, and the distribution is skewed left. Which measure of center, the mean or median, is probably a better representation of the data? Explain your reasoning.

Answers

Answer 1
Apologies for the confusion in my previous response. Given that the distribution is skewed left, the median is likely a better representation of the data's center than the mean.

Skewed left distributions have a longer tail towards the lower values, indicating that there are few extreme values on the left side. These extreme values can have a significant impact on the mean, pulling it towards the left and making it an inaccurate representation of the typical value.

In contrast, the median is less affected by extreme values since it only considers the middle value when the data is sorted. It represents the value that separates the lower 50% of the data from the upper 50%, making it more robust against outliers or extreme values.

Hence, in a skewed left distribution, the median is generally a more reliable measure of the data's center than the mean.

Related Questions

HELP WILL MARK BRAINIEST
What is the median for the set of data?
71
70
72
74

Answers

Answer:

Step-by-step explanation:

To find the median, we need to arrange the data in ascending order:

70, 71, 72, 74

Since the data set has an even number of values, the median is the average of the two middle values. In this case, the two middle values are 71 and 72. Therefore, the median is:

(71 + 72) / 2 = 143 / 2 = 71.5

So, the median for the given set of data is 71.5.

71.5 is the answer for this question

Does the series converge or diverge? if it converges, what is the sum? SHOW YOUR WORK!!!!!!
equation is in picture.

Answers

Answer:  It converges to   -3

=============================================

Reason:

This is a geometric series with

a = -4 = first termr = -1/3 = common ratio

The template is [tex]a(r)^{n-1}[/tex]

If -1 < r < 1, then the infinite geometric series converges to a finite number. This is because we add on smaller and smaller pieces, which prevents the sum going off to infinity.

In the case of r = -1/3, it fits the interval  -1 < r < 1. In other words -1 < -1/3 < 1 is true.

We'll plug those values into the formula below to wrap things up.

[tex]S = \frac{a}{1-r}\\\\S = \frac{-4}{1-(-1/3)}\\\\S = \frac{-4}{1+1/3}\\\\S = \frac{-4}{3/3+1/3}\\\\[/tex]

[tex]S = \frac{-4}{4/3}\\\\S = -4 \div \frac{4}{3}\\\\S = \frac{-4}{1} \times \frac{3}{4}\\\\S = \frac{-4*3}{1*4}\\\\S = -3\\\\[/tex]

Therefore,

[tex]\displaystyle \sum_{n=1}^{\infty} -4\left(-\frac{1}{3}\right)^{n-1} = -3[/tex]

The final answer is -3.

You can verify the answer by generating partial sums with a spreadsheet. The partial sums should steadily get closer to -3.

Here's a few partial sums.

[tex]\begin{array}{|c|c|c|} \cline{1-3}\text{n} & \text{a}_{\text{n}} & \text{S}_{\text{n}}\\\cline{1-3}1 & -4 & -4\\\cline{1-3}2 & 1.333333 & -2.666667\\\cline{1-3}3 & -0.444444 & -3.111111\\\cline{1-3}4 & 0.148148 & -2.962963\\\cline{1-3}5 & -0.049383 & -3.012346\\\cline{1-3}6 & 0.016461 & -2.995885\\\cline{1-3}7 & -0.005487 & -3.001372\\\cline{1-3}8 & 0.001829 & -2.999543\\\cline{1-3}9 & -0.00061 & -3.000153\\\cline{1-3}10 & 0.000203 & -2.99995\\\cline{1-3}\end{array}[/tex]

The interesting thing is that the partial sums [tex]S_n[/tex]  bounce around -3 while also getting closer to it.

Yes the partial sums should get closer to -3.

A submarine hovers at 66 and two-thirds yards below sea level. If it ascends 24 and StartFraction 1 over 8 EndFraction yards and then descends 78 and three-fourths yards, what is the submarine’s new position, in yards, with respect to sea level?

Answers

-2911/24 = -121 7/24
The correct answer is -121 7/24
Give him brainlest he deserves it honestly

And like did you know we’re on a moving rock going through endless space

What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer.

Negative 2 and one-half minus (negative 1 and three-fourths)
A number line going from negative 3 to 0 in increments of One-fourth.

Answers

The difference of the given fraction is Negative three-fourths.

Sum and difference of fractions

Given the following fraction difference as shown:

[tex]\sf -2 \dfrac{1}{2} - \huge \text(-1 \dfrac{3}{4} \huge \text)[/tex]

Convert to improper fraction

[tex]\sf -\dfrac{5}{2} + \dfrac{7}{4}[/tex]

Find the LCM

[tex]\sf 2(-5)+\dfrac{7}{4}[/tex]

[tex]\sf -10+\dfrac{7}{4}[/tex]

[tex]\sf -\dfrac{3}{4}[/tex]

Hence, the difference of the given fraction is Negative three-fourths.

Learn more on fraction difference at: https://brainly.com/question/30489902

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee plsssssssssssssssss

Answers

I can’t read bring it closer on a new post
I can’t really see but i’ll be sure to help you if you could bring it closer !

Select all shapes below that are nets of a pentagonal-based pyramid.

Answers

The answer to this one is D.

Answer:

A and B

Step-by-step explanation:

I took some paper and cut it to the shapes and folded them to see which ones are the answer and got those 2. :3

Other Questions
Which of the following is the employer's responsibility? what Kantian Theory tells us. What is the ultimate value? How does that value inform right and wrong action? What is a maxim? What is the good will? Your duty? What is the Categorical Imperative? What are its two formulations? What do those formulations mean exactly? Ultimately, the Supreme Court ruled that drug testing is constitutional for public high school athletes, in the vernonia district who are minors. Do you think it would be more reasonable to implement a similar policy among public school teachers on the grounds that adults also use illegal drugs, that the behavior and lifestyles of teachers have a significant influence on students, and that teachers cannot very well educate and protect the safety of students when they themselves might be using illegal drugs? Explain and support your answer. A ______ is a very simple and effective way to measure process level by using a clear tube through which process liquid may be seen. Glass Probe Capacitance Sensor Glass Gauge Displacer Question 9 (1 point) A conducitivity probe measures the electric current by moving charged ions toward a ______ or ______ when a voltage is applied. cathode anode switch float a) Describe five types of cognitive process explaining how they can result in human error when using a computer system.b) James Reason has put forward the idea that thinking is divided into skill, rule and knowledge-based thought. Explain these terms outlining what type of errors they can give rise to in a computer-based system.c) Heuristic Evaluation is a popular technique for the measuring the general usability of an interface. Critically evaluate the utility of the heuristic evaluation approach The pressure just upstream and downstream of a hydraulic turbine are measured to be 1325 and 100 kPa, respectively. What is the maximum work, in kJ/kg, that can be produced by this turbine? If this turbine is to generate a maximum power of 100 kW, what should be the flow rate of water through the turbine, in L/min? (p = 1000 kg/m = 1 kg/L). You are the computer forensics investigator for a law firm. The firm acquired a new client, a young woman who was fired from her job for inappropriate files discovered on her computer. She swears she never accessed the files. You have now completed your investigation. Using what you have learned from the text and the labs, complete the assignment below. You can use your imagination about what you found!Write a one page report describing the computer the client used, who else had access to it and other relevant findings. Reference the tools you used (in your imagination) and what each of them might have found. MODULE 2:The Martins know that setting up some projected Income Statements are important. They need to look at what the first year of operations might look like and if possible they will need to look at the years thereafter to get an impression of what the long term might look like.RM Purchases: $132,000* (Raw Material Purchases is a part of COGS)Sales Salaries: 80,000Advertising: 3,000Travel: 2,000Revenue: 360,000Financing Costs: 10,000Office Lease: 13,000Depreciation: 38,000Income Taxes: 22,000Admin Salary: 40,000A second financial statement that is key to understanding a business is the Balance Sheet. The Martins have estimated the following accounts to be a part of their initial Balance Sheet.Trade Receivables: $35,000Cash: 15,000Short Term Loan: 30,000Share Capital: 100,000Long Term Liabilities: 60,000Property, Plant: 170,000Prepaid Expenses: 5,000Yearly LTD Retirement: 5,000Retained Earnings: 25,000Accumulated Depn: 38,000Current Payables: 17,000Inventories: 50,000Q1: With the above accounts, prepare CompuTechs Income Statement for the year ended, December 31, 2021.Q2: With the above accounts, prepare CompuTechs Balance Sheet as at December 31, 2021.Q3: Which of the above accounts are FIXED, and which are VARIABLE?Q4: What is the COGS for the year 2021? A conducting sphere of radius a = 30 cm is grounded with a resistor R 25 as shown below. The sphere is exposed to a beam of electrons moving towards the sphere with the constant velocity v = 22 m/s and the concentration of electrons in the beam is n = 2108 m. How much charge per second is received by the sphere (find the current)? Assume that the electrons move fast enough. Mer -e R The current, I = Units Select an answer V Find the maximum charge on the sphere. The maximum charge, Q = Units Select an answer point D i aint the interior of ABC . what is m/ DBC 4. The _____ method is used to compute the volumes of a specific area in the surface. 5. The ______ tab in the Surface Properties dialog box is used to display the computed volumes of a TIN volume surface. 6. The ______ key is used to display the result of the bounded volume in the AutoCAD Text Window. 7. The ____ analysis is used to divide elevation into bands of different colors representing various elevations. 8. The legend table styles are created, edited, and managed in the Prospector tab of the TOOLSPACE palette. (T/F) 9. The labels in the drawing can update automatically with a change in the surface. (T/F) 10. Watershed labels are added automatically when watersheds are displayed. (T/F) Formulate ten questionnaire items for a psychological questionnaire. Provide a scenario for each a psychological question. The item should be based on two personality theories in the prescribed textbook: chapter 5 (Adler), chapter 6 (Karen Horney's work) and Chapter 14 (Victor Franklin's theory). Base the first five items on the theory you chose and the other five items on the second theory you chose I'm due a paycheck of $1,235.00 in 7 days. A payday lender has offered to advand me money against this paycheck, or, in other words, to make me a loan today whic would be paid off by my paycheck. Their fee is 2.5%. What rate of simple interest would this amount to? Your Answer: Why do you suppose that the 5th Circuit Court of Appeals adopted the "wholly groundless" exception in the first place? Could the exception prevent frivolous arbitration claims?Why was it important to Scheins argument that the contract expressly incorporated the American Arbitration Associations rules?Focus on Critical Thinking: Why did the Court interpret the Federal Arbitration Act so strictly in this case? Should courts have more leeway when interpreting statutes? Kindly, do write full C++ code (Don't Copy)Write a program that implements a binary tree having nodes that contain the following items: (i) Fruit name (ii) price per lb. The program should allow the user to input any fruit name (duplicates allowed), price. The root node should be initialized to {"Lemon" , $3.00}. The program should be able to do the following tasks:create a basket of 15 fruits/priceslist all the fruits created (name/price)calculate the average price of the basketprint out all fruits having the first letter of their name >= L You are given the following information about Cullumber Plumbing Company. Revenues in 2020 totaled $960.00, depreciation expenses $92.00, costs of goods sold $397.00, and interest expenses $57.00. At the end of the year, current assets were $124.00 a current liabilities were $102.00. The company has an average tax rate of 29.00 percent. Calculate its net income by setting up an income statement. (Round answers to 2 decimal places, e.g. 15.25.) Which agile approach helps teams improve their project cycle time by considering team capacity? dward was paid a monthly salary of P12,600.00. What will he earn if the pay period is changed to a weekly period? 10. A salesperson received a bi-weekly salary of P4,300 and 9 1/2% commission on total sales. Find the monthly income if total sales for the month amounted to P9,827. 11. Roy received a commission of 4 1/2% on the First P5,000 of sales, 5 1/2% on the next P12,000, and 7% on all sales over P17,000. Find the monthly income if total sales amounted to P40,000. 9. While investigating an existing system, observation, interviews and questionnaires can be used. Compare and contrast these three methods. Q2: Assume that the registers have the following values (all in hex) and that CS=3000, DS=2000, SS=3300, SI=2000, DI=4000, BX=5550, BP-7070,AX=34FF, CX=3456 And DX=1288.compute the physical address of the memory of the following addressing 1.Physical address for MOV [SI]. AL a.Non above b.3A072 c.22000 d.25550 e.Other: 2.Physical address for MOV [SI+BX], AH a.22000 b.Non above c.25550 d.27550 3.Physical address for [BP+2]. BX a.3A050 b.Non above c.072 d.24200