Question

the data belowshows the age of 20people when they got their drivers licenses 18 19 18 18 20 23 18 18 20 20 19 27 18 19 19 19 19 18 22 18
(a) identify any outlines
(b) what is the range of the data
(c) find the mean , median ,mode ​

Answer 1

Answer:

(a) 27 is the outlier

(b) Range = 9

(c) Mean = 19.5   Median = 19     Mode = 18

Step-by-step explanation:

Firstly arranging the given data in ascending order we get;

18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 22, 23, 27

(a) After seeing the above data there is as such no outlier but as the value 27 is far from the other values so it may be considered as an outlier.

(b) Range of data = Highest value in data - Lowest value in data

                             = 27 - 18 = 9

(c) Mean = Sum of all values ÷ Total no. of observations

              = $\frac{18+19+ 18+ 18+ 20+ 23+ 18+ 18+ 20+ 20+ 19+ 27+ 18+ 19+ 19+ 19+ 19+ 18+ 22+ 18}{20}$

              = 19.5

Therefore, mean age of 20 people is 19.5 .

 Median Calculation :

Here the number of observations is even as n = 20 .

So, median is given by = $\frac{(\frac{n}{2})th + (\frac{n}{2} +1)th }{2}$ obs. = $\frac{(10th + 11th)obs}{2}$ = $\frac{19+19}{2}$ = 19.

Therefore, median age of 20 people is 19.

Mode : It is represented by the number which appears maximum time in the data.

So, after seeing the data we observe that 18 occurs the most number of times i.e. 8 . Hence mode of the data is 18.

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