1. Comparing Statistical Data
Mean
Median
Mode
Range
The average of a set of scores or data.
The middle score or number when they are in ascending order.
The score or number that appears most .
The difference between the largest and the smallest score or number.
Find the mean, median, and mode for the following distributions.
Example 1
Example b
7, 4, 9, 3, 8, 0, 7, 4, 3, 7
4, 2, 5, 5, 1
1, 2, 4, 5, 5
Arrange the data in order
0, 3, 3, 4, 4, 7, 7, 7, 8, 9
The mean is the average
0, 3, 3, 4, 4, 7, 7, 7, 8, 9
1, 2, 4, 5, 5
= 4
The median is the middle value
1, 2, 4, 5, 5
= 5
The mode is the number that appears most
0, 3, 3, 4, 4, 7, 7, 7, 8, 9
= 7
The range is the difference between the largest & the smallest value
5 – 1 = 4
9 – 0 = 9

2. More Mean, Median, Mode & Range
Find the mean, median, and mode for the following distributions.
Example 1
Example b
Example 3
3, 4, 5, 4, 3, 7, 2
1, 5, 2, 7, 3, 4, 6
2, 9, 3, 7, 3
1, 2, 3, 4, 5, 6, 7
2, 3, 3, 7, 9
2, 3, 3, 4, 4, 5, 7
Mean
1, 2, 3, 4, 5, 6, 7
2, 3, 3, 4, 4, 5, 7
Median
2, 3, 3, 7, 9
= 4
= 4
= 3
2, 3, 3, 4, 4, 5, 7
1, 2, 3, 4, 5, 6, 7
Mode
2, 3, 3, 7, 9
= 3 and 4
There is no mode
= 3
Range
9 – 2 = 7
7 – 2 = 5
7 – 1 = 6

3. Using the Calculator to Analyze Data
4, 2, 5, 5, 1
17, 8, 20, 19, 26, 5, 9, 19, 6, 14, 12, 10, 13, 18
Enter values in L1
Store the data
Press
STAT
ENTER
(1-Var Stats)
Press
STAT
>
(CALC)
ENTER
Analyze the data
That was easy

4. Finding Missing Values When the Mean is Known
105, 126, 110, 118, 113, x mean = 117
3.6, 4.8, 5.9, x mean = 5.1
Asi de Facil

5. Find mean, median, mode, & range
Homework
Page 742: 7- 10
Find mean, median, mode, & range
Page 742: 11 – 14

6. Quartiles
When data is listed in numerical order, the median separates it into two equal parts. The numbers that separate it into four equal parts are called quartiles.
53, 60, 61, 63, 64, 65, 65, 65, 65, 66, 66, 67, 67, 68, 69, 70, 70, 71, 71, 73
Lower Half
Upper Half
53, 60, 61, 63, 64, 65, 65, 65, 65, 66, , 67, 67, 68, 69, 70, 70, 71, 71, 73 66
Median
53, 60, 61, 63, 64, , 65, 65, 65, 66, , 67, 67, 68, 69, , 70, 71, 71, 73
64.5 66
69.5
Median
1st Quartile
3rd Quartile
2nd Quartile

7. Using the Calculator to Find Quartiles
53, 60, 61, 63, 64, 65, 65, 65, 65, 66, 66, 67, 67, 68, 69, 70, 70, 71, 71, 73
Store the data
Analyze the data
Minimum Value = 53
1st Quartile = 64.5
Median = 66
3rd Quartile = 69.5
Maximum Value = 73

8. Box-and-Whisker Plot
53, 60, 61, 63, 64, 65, 65, 65, 65, 66, 66, 67, 67, 68, 69, 70, 70, 71, 71, 73
53, 60, 61, 63, 64, , 65, 65, 65, 66, , 67, 67, 68, 69, , 70, 71, 71, 73
64.5 66
69.5 53 73
Max
Value
Min
Value
1st Quartile
Median
3rd Quartile
These five numbers are the statistical summary of the data.
Draw a scale with numbers from the minimum value to the maximum value.
Place dots above the scale to represent the five numbers that are the statistical summary of the data.
Draw a box around the dots that represent the 1st & 3rd quartiles.
Draw a vertical line through the dot representing the median.
Connect the minimum value and the maximum value to the box with whiskers.

9. Another Box-and-Whisker Plot
Let’s put the test score example into a Box-and-Whisker Plot.
Student test scores:
90, 85, 74, 86, 65, 62, 100, 95, 77, 82, 50, 83, 77, 93, 73, 72, 98, 66, 45, 100, 50, 89, 78, 70, 75, 95, 80, 78, 83, 81, 72, 75
That was easy
Asi de facil

10. For each Box-and-Whisker Plot, find the minimum value, the 1st quartile, the median, the 3rd quartile, and the maximum value.
MIN 40 Q1 58
MED 64 Q3 74
MAX 88
MIN 51 Q1
57.5
MED 60 Q3
65.5
MAX 78

11. Homework
Page 750: