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
Korolek [52]
3 years ago
8

HELP A.S.A.P!!!! The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the ou

tlier is included, then the mean is 84. Which statement is always true about the new data when the outlier is removed?
The mean would decrease.
The mean would increase.
The median would decrease.
The median would increase.
Mathematics
1 answer:
kolezko [41]3 years ago
8 0

When the outlier is removed The mean would increase.

<u>Step-by-step explanation:</u>

Outliers are the value that lies outside the set of data. i.e. the data doesn't fit in the group.

Removing outliers can affect mean more than median. Because outlier removal sometimes affect the median but in a small percentage or sometimes it will remain the same.

Let us prove, consider 16 values one with 78 and other 15 with values nearly 85, 84 that will give the mean value as 84.

78, 84, 82, 86, 84, 85, 83, 86, 82, 85, 84, 83, 86, 85, 86, 85.

Mean =\frac{Sum of the values}{Number of values}.

Mean =\frac{78+84+82+86+84+85+83+86+82+85+84+83+86+85+86+85}{16}.

Mean =\frac{1344}{16}.

Mean = 84.

Remove 78 from the data set then the data set is 84, 82, 86, 84, 85, 83, 86, 82, 85, 84, 83, 86, 85, 86, 85 and number of data is reduced to 15.

Mean =\frac{84+82+86+84+85+83+86+82+85+84+83+86+85+86+85}{15}.

Mean =\frac{1266}{15}.

Mean = 84.4.

The mean is increased.

You might be interested in
When Kylie asked her grandfather how old he was, he replied, "the two digits in my age are the ages of your brother isaac and si
Kitty [74]

Answer:

Kylie's grandfather is 73 years old.

Step-by-step explanation:

Let the first digit in Kylie's grandfather's age be x, which is the age of Isaac

Let the second digit in Kylie's grandfather's age be y, which is the age of Kendra.

Therefore from the given information we can say that

(10x + y) + x + y = 83

therefore 11x + 2y = 83

Let us take x  = 7 then we get  77 + 2y = 83 \Rightarrow y = 3

Therefore we can say Issac's age is 7

and Kendra's age is 3

and the age of Kylie's grandfather is 73.

6 0
3 years ago
PLS PLS PLS HELP!!!! THIS IS DUE TODAYYYYY!!!!!! NO LINKS, NO STEALING POINTS, AND ONLY CORRECT ANSWERS OR YOU WILL BE REPORTED!
Aleonysh [2.5K]

The answer and explanation is in the image.

7 0
2 years ago
Read 2 more answers
Once a week you babysit your neighbor’s toddler after school, usually going to a local playground. You notice that each swing on
Ira Lisetskai [31]

Answer:

3.9 units

Step-by-step explanation:

We are given that,

Time taken by each swing = 2.2 seconds

The pendulum formula is given by, T = 2\pi \sqrt{\frac{L}{32}}, where T is the time taken and L is the length of the swing.

So, we have,

2.2= 2\pi \sqrt{\frac{L}{32}}

i.e. \frac{2.2}{2\pi}=\sqrt{\frac{L}{32}}

i.e. (\frac{2.2}{2\pi})^{2}=\frac{L}{32}

i.e. L=32\times (\frac{2.2}{2\pi})^{2}

i.e. L=32\times \frac{4.84}{4 \pi^2}

i.e. L=32\times \frac{1.21}{\pi^2}

i.e. L=\frac{38.72}{9.87}

i.e. L = 3.923 units

So, rounded to tenths, the length of the swing is 3.9 units.

8 0
3 years ago
To find the product 3/7 x 4/9 Cameron simplified 3/7 to 1/7 and then mulitiplied the fractions 1/7 and 4/9 to find the product 4
Helga [31]
He was not supposed to simplify. He could have multiplied straight across and got 12/63 and he would simplify that which would be 4/21 im thinking
3 0
3 years ago
Read 2 more answers
Explaining your answer can either include a counterexample, a diagram or a written explanation to support your answer.
anzhelika [568]

Answer:

sorry I didn't understanding this

6 0
3 years ago
Other questions:
  • Please Help With Math
    11·2 answers
  • If you are asked to create a box plot about data that has two different sets, do would you make 1 or 2 box plots?
    14·1 answer
  • Milo's pancake recipe makes 9 servings. It calls for 3/4 cup milk. Milo wants to make 6 servings. How much milk will he need?
    15·2 answers
  • jamal runs 1 2/5 miles a day to train a race. If he runs the same distance for 3 days a week, what is the distance he runs in on
    14·1 answer
  • Is 8.08 bigger than 8.008
    7·2 answers
  • What is the Area of the triangle
    6·2 answers
  • Drag each scenario to show whether the final result will be greater than the original value, less than the original value, or th
    15·2 answers
  • Help plz, these questions are very confusing :/
    5·1 answer
  • The track team plans to sprint 20 miles this school year. The runners will sprint 1/4 mile each day. How many days will it take
    11·1 answer
  • Which of these operations is not closed for polynomials?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!