Download Measures of Central Tendency

5.6 – Solving Equations with Decimals
0.17x = -0.34
Z + 0.9 = 1.3
-0.9 -0.9
0.17x = -0.34
0.17
0.17
x =-2
Z = 0.4
2.9 = 1.7 + 0.3x
-1.7 -1.7
1.2 = 0.3x
1.2 = 0.3x
0.3 0.3
4 =x
5.6 – Solving Equations with Decimals
8x + 4.2 = 10x + 11.6
-8x
-8x
4.2 = 2x + 11.6
4.2 = 2x + 11.6
-11.6
-11.6
-7.4 = 2x
-7.4 = 2x
2
2
-3.7 = x
5.6 – Solving Equations with Decimals
6.3 – 5x = 3(x + 2.9)
6.3 – 5x = 3x + 8.7
+5x +5x
6.3 = 8x + 8.7
6.3 = 8x + 8.7
-8.7
-8.7
-2.4 = 8x
-2.4 = 8x
8
8
-0.3 = x
5.6 – Solving Equations with Decimals
0.2y + 2.6 = 4.0
-2.6 -2.6
0.2y = 1.4
0.2y = 1.4
0.2
0.2
Y=7
5.7 – Decimals – Mean, Median and Mode
Measures of Central Tendency
Mean: The average of a set of numbers.
Mean 
sum of the items
number of items
Find the mean (average) of the values 2, 4, 5, 2, 6
Mean 
2 4 5 2 6
5
19

5
3.8
5 19.00
15
40
40
The mean (average) of the values is 3.8.
5.7 – Decimals – Mean, Median and Mode
Measures of Central Tendency
Median: The middle value of a list of numbers in numerical
order.
*If the list has an odd number of items, then the
median is the middle value.
*If the list has an even number of items, then the
median is the mean of the two middle values.
What is the median?
26, 31, 15, 30, 18
26, 31, 15, 30, 18, 28
15, 18, 26, 30, 31
15, 18, 26, 28, 30, 31
Median is 26
26  28 54
 27

2
2
Median is 27
5.7 – Decimals – Mean, Median and Mode
Measures of Central Tendency
Mode: The value or values of a list of numbers that repeat the
most.
14, 22, 45, 23, 45, 88, 12, 34, 45, 23, 45, 18
12, 14, 18, 22, 23, 23, 34, 45, 45, 45, 45, 88
Mode = 45
5.7 – Decimals – Mean, Median and Mode
Measures of Central Tendency
Find the mean, median and mode of the following numbers:
26, 31, 15, 26, 15, 16, 15, 28
15, 15, 15, 16, 26, 26, 28, 31
Mean – round to tenths
26  31  15  26  15  16  15  28
8
21. 3 7
171
8 171.00
8
16
11
8
30
24
60
The mean =21.4
Median
16 +26
2
42
2
21
The median =21
Mode
The mode =15