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
Ray Of Light [21]
2 years ago
13

A data set consists of 2, 2, 3, 4, 5, 5, and 7. Then, 20 is added to the data set. The new value will have little effect on the

_____________, but it will raise the _____________ significantly.
Mathematics
1 answer:
ale4655 [162]2 years ago
6 0

Answer:

A data set consists of 2,2,3,4,5,5 and 7. Then, 20 is added to the data set. The new value will have the little effect on the median, but it will raise the mean significantly.

Step-by-step explanation:

Since, we all know that the measures of central tendency are:

  1. Arithmetic Mean
  2. Median
  3. Mode
  4. Geometric Mean
  5. Harmonic Mean

Let us define Arithmetic Mean and Median.

Arithmetic mean is the sum of observations divided by the total number of observations. It is denoted by (x bar).

On the other hand, median of a distribution is that value of the variable which divides it into two equal parts.

For Arithmetic Mean:

According to the question, when data set consists 2,2,3,4,5,5 and 7, the arithmetic mean for the given data = 4

After adding 20 the given data set, the mean will be = 6

For median:

When data set consists of 2,2,3,4,5,5 and 7, the median value will be the middle value of the distribution i.e. = 4

After adding 20 to the given data set, the median will be = 4.5

Here we can say that 20 is an outlier for the given data set.

Since mean has the significant effect of the outlier because it is based on all values but the median has lesser effects of the outlier as it is based only on middle values. So whatever outlier is added to median, it will not show particular changes.

Thus , a data set consists of 2,2,3,4,5,5 and 7. Then, 20 is added to the data set. The new value will have little effect on median, but it will raise the mean significantly.

You might be interested in
A. 0.1925<br> B.0.1575<br> C.0.2925<br> D.0.3575<br><br> HELP PLEASE!!!
Elena-2011 [213]
A, because:

Hardcover: 0.35
Buys hard cover and non-fiction: 0.35 x 0.55 = 0.1925
3 0
3 years ago
Practice Writing Composite Functions Given: f(x) = x - 7 and h(x) = 2x + 3 Write the rule for h(f(x)).
Setler79 [48]

Answer:

<h2>h(f(x)) = 2x - 11</h2>

Step-by-step explanation:

f(x) = x - 7

h(x) = 2x + 3

To find h(f(x)) substitute f(x) into h(x) that's replace every x in h(x) by f(x)

That's

h(f(x)) = 2(x - 7) + 3

h(f(x)) = 2x - 14 + 3

We have the final answer as

<h3>h(f(x)) = 2x - 11</h3>

Hope this helps you

6 0
2 years ago
Ashraf attends a local festival, which has an entrance fee. Each game costs
irina1246 [14]

Answer:

2 + 2x = y

Step-by-step explanation:

I think you're saying the entrance fee is $2. This is the constant. If each game costs an additional $2 per game, that would translate into 2x - or 2 * the number of games. This results in the slope-intercept form equation of: 2+2x=y

5 0
3 years ago
a pet store has 2 kittens. one kitten weighs 15/16 pounds. the other kitten weighs 12/16 pounds. what is the difference of the w
Lostsunrise [7]
Subtract 15/16 and 12/16 to get 3/16
5 0
3 years ago
Find the average rate of change of the given function on the interval [1,6]
AleksAgata [21]
It is fifteen which isA
3 0
3 years ago
Other questions:
  • Please answer this correctly
    9·1 answer
  • The area of a square is 20 square which best represent the length of the side of the square
    8·1 answer
  • Helppp ill mark u as brainlist​
    6·1 answer
  • To solve 6x=30, Keith divided both sides of the equation by 6. Which property justify this step
    10·2 answers
  • A boat travels 60 miles downstream in the same time it takes to go 36 miles upstream the speed of the boat in Stillwater is 15 m
    11·1 answer
  • Write a polynomial function in standard form for the given set of roots.
    14·1 answer
  • The graph of 15x + 7y = 15 is shown on the grid. Which ordered pair is in the solution set of 15x + 7y ≥ 15?
    14·1 answer
  • Solve for a. ab + c = d
    9·2 answers
  • A farmer needs to enclose three sides of a field with a fence (the fourth side is a river). The farmer has 49 yards of fence and
    6·1 answer
  • The area of a square is64. Cm <br><br> What is the length of its side
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!