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
djyliett [7]
2 years ago
10

If a new data point at 12 is added to the graph , which will be true ?

Mathematics
2 answers:
GarryVolchara [31]2 years ago
5 0

Answer:

The mean will increase more than the median, but both will increase.

Step-by-step explanation:

Orlov [11]2 years ago
3 0

Answer:

3. The mean will increase more than median, but both will increase.

Step-by-step explanation:

We have been given a dot plot. We are asked to find the true statement, if a new data point at 12 is added to our given dot plot.

Since we know that an large valued outlier affects mean more than median, so mean will increase more than median.

Let us check this using our given information. Our data set before adding 12 is:

1, 2, 2, 2, 3, 4, 4, 4, 5.

We can see that our data set has odd number (9) of data points, so median will be the value of 5th term, that is 3.

\text{Mean}=\frac{1+2+2+2+3+4+4+4+5}{9}

\text{Mean}=\frac{27}{9}=3

Therefore, mean of our data set is 3.

Upon adding a data point at 12, our new data set will be:

1, 2, 2, 2, 3, 4, 4, 4, 5, 12.

Now our data set has 10 terms, so median will be the average of 5th and 6th term.

\text{Median}=\frac{3+4}{2}

\text{Median}=\frac{7}{2}=3.5

Therefore, the median of new data set will be 3.5.

\text{Mean}=\frac{1+2+2+2+3+4+4+4+5+12}{10}

\text{Mean}=\frac{39}{10}

\text{Mean}=3.9

Therefore, mean of new data set will be 3.9.

Upon looking at our given statements we can see that 3rd statement is true as mean and median both increased after adding 12 to our data set, but mean increased more that median. Mean and median before adding 12 was 3; but after adding 12 median became 3.5, while mean became 3.9 (which is greater than mean).



You might be interested in
Order from least to greatest. 7/25, 6/25, 11/50.
fenix001 [56]
7/25, 6/25, and 11/50. Looks like they are already in order, or you meant to do that... 
3 0
3 years ago
The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 peopl
laiz [17]

Answer: The waiting time will be 32 minutes when 240 people in line.

Step-by-step explanation:

Let us assume that the waiting time is directly proportional to the number of people in the queue.

Equation of direct proportion between variables x and y :  \dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}

Put x_1=20,\ y_1=150,\ y_2=150  to find  x_2.

\dfrac{20}{150}=\dfrac{x_2}{240}\\\\\Rightarrow\ x_2=\dfrac{20}{150}\times240\\\\\Rightarrow\ x_2=32

Hence, the waiting time will be 32 minutes when 240 people in line.

3 0
2 years ago
Read 2 more answers
Ms. Carter has 30 boxes of books. Half of the boxes have 25 books and the other half have 50 books. How many books does she have
Nikitich [7]
15 x 25 = 375
15 x 50 = 750

375 + 750 = 1,125

She has 1,125 books. 
5 0
3 years ago
Read 2 more answers
What is a fraction of 0.25
skad [1K]
Well If your trying to turn it into a decimal the answer would be .25 but if you want it as a fraction the answer is 100 over 25. Hope I helped!

-Amber
7 0
3 years ago
Read 2 more answers
Oscar saves 40% of his monthly check for college. He earned $450 last month. How much money did Oscar save for college?
Mrrafil [7]

Answer

It is $180

Step-by-step explanation:

You do 450 times 40% and you get $180

4 0
2 years ago
Other questions:
  • 1 point) According to one mathematical model, the average life expenctancy for American men born in 1900 was 55 years. Life expe
    7·1 answer
  • if the length of a rectangle is 2km less then 3times the width and the perimeter is 68 what is the length
    6·1 answer
  • Is 68 a perfect square
    6·2 answers
  • Step by step please<br><br> solve g+12-2(q-22)&gt;0
    13·1 answer
  • A traveler is walking on a moving walkway in an airport The Traveler must walk back on the walkway to get a bag he forgot the Tr
    10·1 answer
  • Write a division equation with decimals Identify the dividend, divisor, and quotient
    5·2 answers
  • Bill rows his boat at 10 miles per hour. He rowed 20 miles down a stream and then rowed back to his starting point. The stream w
    5·2 answers
  • What is Jessica's yearly salary right out of college?
    15·1 answer
  • The product of six and a number is 66 find the number
    10·1 answer
  • One leg of a right triangle is 7 units long, and its hypotenuse is 16 units long. What is the length of the other leg? Round to
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!