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A supporter of bicycle lanes around the city, who resides in Pretoria, recorded the number of bicycles that passed by his house between 7 am and 9 am for each of 10 successive weekdays. The results were:
15; 18; 23; 22; 21; 18; 14; 20; 25; 12
For the above data, find the:

1 Mean.
2 Mode.
3 Median.
4 Range.
5 Mean deviation.
6 Standard deviation.
in Statistics 102 by Silver Status (31.3k points) | 15 views

1 Answer

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1. Mean  = (15+18+....+12)/10

               = 18.8

2.  Mode = 18

3.  arrange the data in increasing order: 12; 14; 15; 18; 18; 20; 21; 22; 23; 25

     Median position = (10+1)/2=5.5

     Median = (18+20)/2=19  

4. Range = max-min = 25-12 =13       

5. Mean deviation = (∑distance from mean to data)/number of data

                             = (18.8-15)+(18.8-18)+(23-18.8)+..…../10

                             = 34/10

                             = 3.4

6. standard deviation = (∑(X-x̅ )^2/(n-1))1/2
                                   = 7.03

by (21 points)
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