2nd Bac - Measures of Center

 Measures of Center in Numerical Data

The measures of center used to analyze data obtained from a market research are:

Mean, median and mode.

 

Mean: It’s the “average” number, found by adding all data points and dividing it by the number of data points. For example, the mean of:

3, 4, 6, 7, 1, 9, 8, 2

= (3+4+6+7+1+9+8+2)/8

 = 40/8 

= 5

 

Median: It’s the middle number, found by ordering all data points and picking out the one in the middle. (If there are two middle numbers, you take the mean (average) of those two numbers. For example, the median of:

150, 200, 175, 160, 220, 125, 195

125, 150, 160, 175, 195, 200, 220


11, 26, 31, 15, 45, 35, 60, 54 

11, 15, 26, 31, 35, 45, 54, 60

(31+35)/2

33

 

Mode: It’s the most frequent number, that is the number that appears the highest number of times. For example, the mode of:

0.20, 0.25, 0.20, 0.15, 0.20, 0.25, 0.18, 0.20

0.20

 

Exercises: Calculate the mean, median and mode of the following set of numbers:

 

1200       1400       1500       1250       1600       1800       1900       1500

 

13       6       24       18       33       5       13       48       9       11       36       28       15       6       13

 

52       10       45       23       68       84       23       52       36       23       52       71       92       42

 

25       85       40       63       29       85       44       32       15       69       73       18       67

 

129       113       110       123       112       115      110      124      121      113      115      121       115

 

0.7       0.2       0.9       1.2       1.5       0.4       0.6       0.2       1.1       0.3       0.7       0.2       1.1

 

6.2       5.6       4.9       5.1       6.2       5.7       5.1       4.7       5.4       6.2       4.5       6.4


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