MTH302 GDB Solution 2016

1. Compute the Mean, Median and Mode by using the data given below and compare their results. What is the appropriate measure of central tendency for this data?

                    X =  31   42   28   45   31   42   26   56   33   42

Solution=

Mean=

X=

X=

37.6

Median= Arrange the data set.

26,28,31,31,33,42,42,42,45,56

37.5

Mode=

The most repeated word is 42

2. Calculate the median, lower quartile and upper quartile of the following data set of scores:

18     20     23     20     23     27     24     23     29

Solution=
Arrange the values in ascending order of magnitude:

There are 9 value in the data set.

N=9

Now Median=  the value

=5

5^th value of data set

23

Lower Quartile=  the value

2.5 the value

 (Average the 2^nd and 3^rd value of date set)

20

Upper Quartile =  the value

7.5 the value

 (Average the 7^th and 8^th value of data set)

25.5

Interquartile range=Upper quartile –Lower quartile

25.5 – 20

5.5

This mean is middle 50% of data value range from 20 to 25.5