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
yawa3891 [41]
3 years ago
8

BRAINLYEST

Mathematics
2 answers:
Zigmanuir [339]3 years ago
7 0

Answer:

1. The mean of the data set will <u>decrease. </u>

2. The median will <u>not change. </u>

3. The range will <u>increase. </u>

Step-by-step explanation:

Just finished the test

iVinArrow [24]3 years ago
5 0

Given:

The data set is

10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17, 35

To find:

Effect on mean, median, range after removing the outlier, 35.

Solution:

We have, the data set

10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17, 35

\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}

\text{Mean}=\dfrac{10+10+11+12+13+13+13+14+14+15+15+15+16+17+17+17+35}{17}

\text{Mean}=\dfrac{257}{17}

\text{Mean}=15.117647

\text{Mean}\approx 15.12

Mean of the data set is 15.12.

Median=\dfrac{n+1}{2}\text{th term} because n=17, which is odd.

Median=\dfrac{17+1}{2}\text{th term}

Median=\dfrac{18}{2}\text{th term}

Median=9\text{th term}

Median=14

Median is 14.

Range=Maximum-Minimum

Range=35-10

Range=25

Range is 25.

After removing the outlier, 35, the data set is

10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17

\text{Mean}=\dfrac{10+10+11+12+13+13+13+14+14+15+15+15+16+17+17+17}{16}

\text{Mean}=\dfrac{222}{16}

\text{Mean}=13.875

Mean of the new data set is 13.875, which is less than 15.12.

Median=\dfrac{\dfrac{n}{2}\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2} because n=16, which is even.

Median=\dfrac{\dfrac{16}{2}\text{th term}+(\dfrac{16}{2}+1)\text{th term}}{2}

Median=\dfrac{8\text{th term}+9\text{th term}}{2}

Median=\dfrac{14+14}{2}

Median=\dfrac{28}{2}

Median=14

New median is 14, which is same as original median.

Range=17-10

Range=7

So, the new range is 7 which is less than 25.

Therefore, the mean of the data set will decrease, the median of the data set will not change, the Range of the data set will decrease.

You might be interested in
Use the remainder theorem to determine the remainder when d 4 + 2d 2 + 5d ? 10 is divided by d + 4
AURORKA [14]
\left[d \right] = \left[ 0\right][d]=[0] totally answer
5 0
3 years ago
Write down the value of the 3 In the number 731.8
DerKrebs [107]

30

Step-by-step explanation:

break down the number

700

30

1

put it together you get 731

4 0
3 years ago
Read 2 more answers
Declan ran 509 meters in 5 minutes . calculate the unit rate<br>​
Nadusha1986 [10]

Answer:

101.8 meters in 1 minute

Step-by-step explanation:

509/5=101.8

7 0
3 years ago
How can i solve this?
Korvikt [17]
What are you looking for?
8 0
3 years ago
PLEASEEEEEEEE HELPPPPPPP
Masteriza [31]
It would be the 4th one
8 0
3 years ago
Other questions:
  • Idk get this questions it says find the varible 4(x+6)=28? does anyone kno this?
    11·2 answers
  • GUYS, PLEASE HELP ME PLEASE. THANKS.
    9·1 answer
  • 104/96 as a mixed fraction
    12·1 answer
  • How do you express the area of the square as a monomial
    14·1 answer
  • the hypotenuse and a side of a right angled triangle are 13cm and5cm respectively. fined the length of the third side​
    14·2 answers
  • A percent is the result of a number being expressed as a fraction
    15·2 answers
  • Solve equation <br> 91=7(7+2r)
    14·2 answers
  • Simplify the expression by combining like terms. <br> 22+5−4+7−8
    9·2 answers
  • Which of these does NOT describe an equivalent ratio or rate? A) 10:35 and 8:28 B) 4:10 and 10:25 C) 40km/h and 0.06 km/min D) 1
    14·1 answer
  • Mr. Jones bought a piece of land for 60 000. The land increased in value by 20% in a year. The new value of the land is​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!