1. 6.5 – Measures of Central Tendency for Discrete and Continuous Data
By Daniel Christie

2. Homework
Page 304

3. Vocabulary in Simple Discrete Data
Mode- most frequent value
Median- middle value
Mean- sum of all values/the number of values
‘sideways M’ – the sum of…

4. Example Number Set- 6 8 3 2 6 5 1 6 8 Find the mode, median, and mean.
Mode= 6 [it occurs 3 times]
Median= 6 [it is the middle number]
Mean= 5 [( )/9=45/9=5]

5. Vocabulary in Discrete data in a Frequency data
Mode- value of highest frequency
Median- middle value
Mean- (value x frequency)+(value+frequency)/sum of the frequencies

6. Example Mode= 4 [has highest frequency] Median= 4 [1/2(80+1)]
X [value]
F [frequency] 1 4 2 9 3 23 25 5 16 6
Mode= 4 [has highest frequency]
Median= 4 [1/2(80+1)]

7. Vocabulary in Grouped Discrete or Continuous Data
Modal Group- group having the largest frequencies
Median- estimated middle value

8. Example Modal Group= 80<t<90 [has the highest frequency]
Time [t=minutes]
Frequency
0<t<50 20
50<t<60 61
60<t<70 83
70<t<80 90
80<t<90
106
90<t<100 62
100<t<110 49
110<t<120 29
Modal Group= 80<t<90 [has the highest frequency]
Median= 250 [half of the total value] – 164 [sum of first 3 frequencies] = 86. So, the mean is 70<t<80*
*I think the book is wrong. It should be 80<t<90

9. Picture Credit: Daniel Christie
Thank You.
Picture Credit: Daniel Christie