Consider the following data values:
17, 6, 19, 4, 14, 1, 3, 13, 4
a. calculate the mean.
b. calculate the median.
c. determine the mode.
d. describe the shape of the distribution.
Solution:
Given that,
1, 3. 4, 4, 6, 13, 14,17, 19
n = 9
a)The mean of sample is
x/n = (1 + 3 + 4 + 4 + 6 +13 + 14 + 17 + 19 / 9)
= 81 / 9
= 9
The sample mean is = 9
b ) Median = Median is middle most observation of data set,
1, 3. 4, 4, 6, 13, 14,17, 19
Median = 6
c) Mode = Represent the repeated value in data set,
1, 3. 4, 4, 6, 13, 14,17, 19
Mode = 4
d) The shape of distribution is right skewed distribution, because mean > median > mode
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