Question

Measures of Central Tendencies review

The room is dark, but You have a flashlight. You Race to the door to find it locked. The lock appears to be an 8 digit code with colors and shapes.
You look around the room and find it is completely empty except for a TV, A small plastic toy farm house, A red tent, and a sink full of water. These items must have clues we can use to discover the code and escape this room!
What an odd perfectly circular sink. You notice it is still full of murky dark blue water. Hmmm….blue circle……….. You fish around and find the plug. You decide to pull the plug………
As the water flows down the drain, you see numbers and letters written on the inside of the sink bowl.
(11, 8, M, 33, 12, O, 11, 35, D, 9, 11, E, 15, 23, 21
M O D E)
The letters spell out MODE! I bet the code for the blue circle is the mode of these numbers! Let’s find it!
You make your way over to the red tent. There is a sign on the door that says “MEDIANs only”. You crawl inside and shine your flashlight up on the top of the tent.
A list of numbers are scrawled on the ceiling:

12, 12, 13, 15, 15, 15, 15, 16, 17, 17, 18
A list of numbers and the word MEDIAN……hmmmmmmm
Looks like a regular old TV. When you look closely, you can see that someone wrote the word “MEDIAN” on the screen with a yellow crayon.
Hmmm… I guess we find the median, but what does that have to do with the yellow star? Maybe we should turn the TV on…….Ah ha! A list of numbers and a yellow star appear on the screen. The star covers up two of the letters! Now it says MEAN!
You walk over to the plastic toy farm. There is a small farmhouse, a plastic cow, and a square fenced in green field.

You pick up each toy…………

The farmhouse………Nothing, let’s ignore that part.

The fence………….when you move the fence you see it was covering a list of numbers: 2, 5, 13, 25, 81, 9, 62.

The cow……..as you lift the cow, it begins to play the song “Home on the Range” over and over and over………
Green square field……home on the RANGE….. Got it!

Answer 1

[AI-generated answer — Bot GPT 3.5]

The numbers underneath the fence are a sequence of numbers. We should find the range of the numbers.

Answer 2

2,5,13,25,81,9,62.

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the range of the numbers 2, 5, 13, 25, 81, 9, 62, we need to subtract the smallest number from the largest number.

Range = Largest number - Smallest number
Range = 81 - 2
Range = 79

Therefore, the range of the numbers is 79.

Answer 4

what is the mode of, 11,8,33 12, 11, 35, 9, 11, 15, 23, 21

Answer 5

[AI-generated answer — Bot GPT 3.5]

The mode of a set of numbers is the number that appears most frequently.

Given the numbers 11, 8, 33, 12, 11, 35, 9, 11, 15, 23, 21, we can see that 11 appears three times, which is more than any other number in the list. Therefore, the mode of the numbers is 11.

Answer 6

12, 12, 13, 15, 15, 15, 15, 16, 17, 17, 18

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the median of a set of numbers, you first need to arrange them in numerical order.

The numbers given are: 12, 12, 13, 15, 15, 15, 15, 16, 17, 17, 18.

Arranging them in numerical order: 12, 12, 13, 15, 15, 15, 15, 16, 17, 17, 18.

Since there are 11 numbers in the list, the median will be the average of the middle two numbers when the list is ordered. In this case, the middle two numbers are the 6th and 7th numbers, both of which are 15.

Therefore, the median of the numbers 12, 12, 13, 15, 15, 15, 15, 16, 17, 17, 18 is 15.

Answer 8

WHAT IS THE MEDIAN OF 8,9,9,9,11,12,12

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find the median of a set of numbers, you first need to arrange them in numerical order.

The numbers given are: 8, 9, 9, 9, 11, 12, 12.

Arranging them in numerical order: 8, 9, 9, 9, 11, 12, 12.

Since there are 7 numbers in the list, the median will be the middle number when the list is ordered. In this case, the middle number is the 4th number, which is also 9.

Therefore, the median of the numbers 8, 9, 9, 9, 11, 12, 12 is 9.

Answer 10

WRONG

Answer 11

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake, I will recalculate the median.

After arranging the numbers in ascending order: 8, 9, 9, 9, 11, 12, 12.

Since there are 7 numbers in the list, the median will be the average of the two middle numbers. In this case, the 4th and 5th numbers are both 9.

Therefore, the corrected median of the numbers 8, 9, 9, 9, 11, 12, 12 is 9.