MATHEMATICS HIGH SCHOOL

How will adding the value 8 affect the mean and median of the data set 4, 6, 8, 10, 12? A.
The mean and median will increase by the same amount.

B.
The median will increase more than the mean.

C.
The median will stay the same, but the mean will increase.

D.
The mean and median will both stay the same.

Answers

Answer 1

Answer:

Answer:

Option: D is the correct answer.

Both mean and median stay the same.

Step-by-step explanation:

We are given a data set as:

4, 6, 8, 10, 12

Clearly from the data set we could see that the median of the set is:

Median=8

( Since we know that the median of the set is the central tendency of a data and always exist in the middle of the data set)

Also, we have 5 data points hence, the mean is calculated as:

$Mean=(4+6+8+10+12)/(5)\n\n\nMean=(40)/(5)\n\nMean=8$

Hence, we have:

Mean=8

and Median=8

Now when we add another point 8 to the set we have the set in increasing order as:

4,6,8,8,10,12

Hence, now the median lies between 8 and 8.

Hence, we get Median=8

( Since, (8+8)/2=16/2=8)

Also, Mean is calculated as:

$Mean=(4+6+8+8+10+12)/(6)\n\nMean=(48)/(6)\n\nMean=8$

Hence, we have:

Mean=8

and Median=8

So, the statement that can be inferred form the addition of a new data point is:

The mean and median will both stay the same.

Answer 2

Answer: 4, 6, 8, 10, 12

Mean without 8:

Mean is adding all the numbers and dividing by how many numbers there are.

4 + 6 + 8 + 10 + 12 = 40

40 / 5 = 8

So the mean is 8.

Mean with 8:

4, 6, 8, 8, 10, 12

4 + 6 + 8 + 8 + 10 + 12 = 48

48 / 6 = 8

So the mean is 8.

Median without 8:

4, 6, 8, 10, 12

Median is the middle number. In this case it's 8.

Median with 8:

4, 6, 8, 8, 10, 12

Median is the middle number, there are two 8's in the middle, so the median is 8.

Therefore the mean and the median both stay the same.

C.23 bubbles per minute

Step-by-step explanation:

hope this helps!

Answer:

23 bubbles per minute

Step-by-step explanation:

Rate is per minute

46 bubbles/2 minutes

23 per minute

In Jonah’s restaurant, each table seats 4 people. Jonah has 78 napkins to place at the tables. How many napkins will jonah need to complete one more table?

Answers

Answer:

Jonah needs 2 more napkins to complete one more table.

Step-by-step explanation:

In Jonah’s restaurant, each table seats 4 people.

In total Jonah has 78 napkins to place at the tables.

So the total number of napkins must be a multiple of 4.

But unfortunately 78 is not a multiple of 4. It leaves a remainder of 2 while divided by 4.

So, the number which is 2 more than 78 will be a multiple of 4 and will complete the set of tables i.e 80

Therefore, Jonah needs 2 more napkins to complete one more table.

78 napkins ÷ 4 people per table = 19 tables remainder 2 napkins.
A table needs 4 napkins and we only have 2. This means that we will need 2 more napkins in order to complete one more table.

Anna runs three over4 mile in six minutes. Assuming she runs at a constant rate what is her speed in miles per hour

Answers

Answer:

7.5 mph

Step-by-step explanation:

6 times 10 is 60 minutes which is an hour

3/4 times ten is 7.5

The tub of a washer goes into its spin cycle, starting from rest and gainiing angular speed steadily for 8.0 s when it is turning at 5.0 rev/s. At this time the person doing the laundry opens the lid and a safety switch turns off the washer. The tub smoothly slows to rest in 12.0 s. Through how many revolutions does the tub turn whil it is in motion.

Answers

Angular acceleration is change of angular velocity over time:
α = 5 / 8 = 0.625 rev / s²
Number of revolutions of the 1st part:
α · t² /2 = 0.625 * 8² / 2 = 20 rev.
The 2nd part:
α = 5/12 = 0.41667 rev/s²
5 * 12 - ( 0.41667 * 12² / 2 ) = 60 - 30 = 30 rev.
In total: 20 + 30 = 50 revolutions

Other Questions

Find the values of (x) for which the ball's height is 27 feet. height (h)= 7+37x-16x^2

Find the inverse function of h(x) = -2/3 x + 6.h -1(x) = -3/2 x + 9 h -1(x) = -3/2 x - 6 h -1(x) = -2/3 x + 9 h -1(x) = -2/3 x - 6

As viewed from a cliff 340 feet above sea level, a ship is 450 feet from the shore. What is the angle of depression from the cliff to the ship on the water below?

a couch sells for $1260. instead of paying the toatl amount at the time of the purchase, the same couch can be brought by paying 400 down and 80 a month for 12 months. how much is saved by paying the total amount at the time of the purchase

How will adding the value 8 affect the mean and median of the data set 4, 6, 8, 10, 12? A.The mean and median will increase by the same amount.B.The median will increase more than the mean.C.The median will stay the same, but the mean will increase.D.The mean and median will both stay the same.

Answers

Related Questions

Answers

Answers

Answers

C.23 bubbles per minute

Answers

Answers

Answers