σx, σy :
sx, sy :

￿When n is an odd number, using the median of the total population as the reference, the population elements are divided into two groups: values less than the median and values greater than the median. The median value is excluded. Q1 and Q3 then become the values described below.

Q1 = {median of the group of (n − 1)/2 items from the bottom of the population} Q3 = {median of the group of (n − 1)/2 items from the top of the population}

￿When n = 1, Q1 = Q3 = population center point.

[Q1, Q3 on Data] checked: The Q1 and Q3 values for this calculation method are described below.

Q1 = {value of element whose cumulative frequency ratio is greater than 1/4 and nearest to 1/4}

Q3 = {value of element whose cumulative frequency ratio is greater than 3/4 and nearest to 3/4}

The following shows an actual example of the above. (Number of Elements: 10)

Data Value

FrequencyCumulative FrequencyCumulative Frequency Ratio

1

1

1

1/10 = 0.1

2

1

2

2/10 = 0.2

3

2

4

4/10 = 0.4

4

3

7

7/10 = 0.7

5

1

8

8/10 = 0.8

6

1

9

9/10 = 0.9

7

1

10

10/10 = 1.0

 

 

 

 

￿ 3 is the value whose cumulative frequency

Reference Point (0.25)

 

 

Reference Point (0.75)

ratio is greater than 1/4 and nearest to 1/4,

0.1

0.2

 

0.4

 

 

0.7

0.8

0.9

1.0

so Q1 = 3.

 

 

 

1

2

3

3

4

4

4

5

6

7

 

￿5 is the value whose cumulative frequency ratio is greater than 3/4 and nearest to 3/4,

so Q3

= 5.

Q1

Q3

 

 

uTo display paired-variable calculation results

1.On the Stat Editor window or Stat Graph window, tap [Calc] - [Two-Variable].

2.On the dialog box that appears, specify the [XList] and [YList] names, select the [Freq] setting, and then tap [OK].

• This displays the dialog box with the paired-variable statistical calculation results described below.

o, p: sample mean

Σx, Σy: sum of data

Σx2, Σy2 : sum of squares

population standard deviation

sample standard deviation

n:

sample size

Σxy:

sum of products of

 

XList and YList data

minX, minY :

minimum

maxX, maxY : maximum

Chapter 7: Statistics Application

137