Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Look at this set of $6$ numbers: $\newline$ $9, 9, 9, 7, 4, 6$ $\newline$ How would the median change if the number $2$ replaced the number $6$ in the set? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease $\newline$ (C)no change

View step-by-step help

View step-by-step help

Changes in mean, median, mode, and range

Full solution

Q. Look at this set of

6

numbers:

\newline

9, 9, 9, 7, 4, 6

\newline

How would the median change if the number

2

replaced the number

6

in the set?

\newline

Choices:

\newline

(A)increase

\newline

(B)decrease

\newline

(C)no change

Identify original set: Step $1$ : Identify the original set of numbers and calculate the median. $\newline$ Original set: $9, 9, 9, 7, 4, 6$ $\newline$ Sort the numbers: $4, 6, 7, 9, 9, 9$ $\newline$ Since there are $6$ numbers, the median is the average of the $3$ rd and $4$ th numbers: $(7 + 9)/2 = 8$
Replace number $6$ : Step $2$ : Replace the number $6$ with $2$ in the set and calculate the new median. $\newline$ New set: $9, 9, 9, 7, 4, 2$ $\newline$ Sort the numbers: $2, 4, 7, 9, 9, 9$ $\newline$ The new median is the average of the $3$ rd and $4$ th numbers: $(7 + 9)/2 = 8$
Compare original and new median: Step $3$ : Compare the original median and the new median to determine the change. $\newline$ Original median: $8$ $\newline$ New median: $8$ $\newline$ Since both medians are equal, there is no change in the median.

More problems from Changes in mean, median, mode, and range

Question

In the data set below, what is the mean absolute deviation?

\newline

6,3,1,6,6

\newline

If the answer is a decimal, round it to the nearest tenth.

\newline

mean absolute deviation (MAD): _____

Posted 2 months ago

Question

Look at this set of

8

60, 38, 93, 14, 23, 81, 12, 64

, How would the range change if the number

18

replaced the number

12

\newline

\newline

\newline

\newline

Posted 1 month ago

Question

Liam has the following data:

20,7,x,20

. If the mean is

14

, which number could

x

\newline

\newline

(A)9

\newline

(B)21

Posted 2 months ago

Question

g=15-\frac{m}{32}

\newline

If Vera starts with a full tank of gas, the number of gallons of gas,

g

, left in the tank after driving

m

miles is given by the equation. When full, how many gallons of gas does Vera's tank hold?

\newline

1

\newline

15

\newline

17

\newline

32

\newline

480

Posted 4 months ago

Question

x-3 y=8

\newline

y^{2}=x-4 y-2

\newline

(x, y)

is a solution to the system of equations shown, which of the following are

y

-coordinates of the solutions?

\newline

1

\newline

-1

-3

\newline

14

2

\newline

-2

3

\newline

2

-3

Posted 2 months ago

Question

Which of the following expressions is equivalent to

-2 x y+18

\newline

1

\newline

-2(x y-9)

\newline

-2(x y+9)

\newline

2(x y-9)

\newline

2(x y+9)

Posted 1 month ago

Question

What is the value of

\tan \left(\frac{\pi}{3}\right)

\newline

1

\newline

\frac{1}{2}

\newline

\frac{\sqrt{3}}{3}

\newline

\frac{\sqrt{3}}{2}

\newline

\sqrt{3}

Posted 4 months ago

Question

Which of the following is the value of

\tan (\pi)

\newline

1

\newline

1

\newline

0

\newline

-1

\newline

\tan (\pi)

Posted 4 months ago

Question

Which of the following is the value of

\sin \left(\frac{\pi}{2}\right) ?

\newline

1

\newline

-1

\newline

0

\newline

\frac{\sqrt{2}}{2}

\newline

1

Posted 4 months ago

Question

\begin{array}{l} 3 x+y=3 \\ 7 x-y=2 \end{array}

\newline

The given system of equations has solution

(x, y)

. What is the value of

x

Posted 1 month ago