IQR, mean, median, mode, and Range

Find the IQR in this data set

IQR = 8

Find the IQR of this data set

IQR = 3

Find the mean (avg.) of this data set:

72, 73, 79, 84, 84, 84, 90, 90, 97

753/9 = 83.666 or 83.67 (Round by hundredths place)

Find the median of this data set:

72, 73, 79, 84, 84, 84, 90, 90, 97

Median (middle number) = 84

Find the mode of this data set:

72, 73, 79, 84, 84, 84, 90, 90, 97

There are three 84s (more than two 90's) so they are the numbers that occur the most, thus the mode.

Mode = 84

Find the range (spread) of this data set:

72, 73, 79, 84, 84, 84, 90, 90, 97

97 - 72 = 25.

Range = 25

The first step to finding the IQR or anything in a data set is to…

order the numbers from least to greatest.

Find the IQR of the data set

Q1 = 5.5 Q3 = 10.5, Q3 - Q1 = IQR, 10.5 - 5.5 = 5

IQR = 5

Find the IQR of this data set

Q1 = 0, Q3 = 4. 4 - 0 = 4

IQR = 4

Find the IQR of this data set

(2.5 + 1.5)/ 2 = 2, (7 + 4) / 2 = 5.5

5.5 - 2 = 3.5 = IQR

Find the IQR of this data set

Q1 = 1, Q3 = 4.5

IQR = 3.5

What is the median? (def)

The median is the middle number in a set of numbers

What is the purpose of the IQR?

The purpose of the IQR is to find the difference between the middle of the first half and the middle of the second half.

What does IQR stand for?

Interquartile Range

What is the first step (after re-sorting) to find the IQR?

Find the median of the first half, then the median of the second half.

What does Q1 represent?

The median of the first half

What does Q3 represent?

The median of the second half

How do you find the median of two different numbers?

Find the average of the two numbers

How do you find the average between two or more numbers?

You have to add all the numbers then divide by the amount of numbers you added.

What is the mean?

The average in a set of numbers

What is another word for the mean?

The average.

What is the equation for finding the mean?

sum/number of numbers

What is the mode?

The mode is the number that occurs the most in a data set.

What is the range?

The range is how spread out the numbers in a data set is. Basically the difference between the lowest number and highest number.

How do you find the range in a data set?

Subtract the largest number by the smallest number.