Question

1. Using the following data, find the.. (show work)

a. mean

b. median

c. mode

d. range

e. standard deviation

936 928 924 880 934 923 878 930 936

2. Make a box-plot for the following data:

34 36 39 43 51 53 62 63 73 79

3. The blood pressure of 40 women have a mean of 110.8 mm hg and a standard deviation of 17.1 mm hg. Is a measurement of 181 mm hg unusual?

Answer 1

1. a. Mean is

b. The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

878   880   923   924   928   930   934   936   936   

So, the median is 928 .

c. The mode of a set of data is the value in the set that occurs most often.

Ordering the data from least to greatest, we get:

878   880   923   924   928   930   934   936   936   

We see that the mode is 936 .

d. The range is the difference between the highest and lowest values in the data set.

Ordering the data from least to greatest, we get:

878   880   923   924   928   930   934   936   936   

The lowest value is 878.

The highest value is 936.

The range = 936 - 878 = 58.

e. Create the following table.

data	data-mean	(data - mean)2
936	17.2222	296.60417284
928	9.2222	85.048972840001
924	5.2222	27.27137284
880	-38.7778	1503.71777284
934	15.2222	231.71537284
923	4.2222	17.82697284
878	-40.7778	1662.82897284
930	11.2222	125.93777284
936	17.2222	296.60417284

Find the sum of numbers in the last column to get.

So standard deviation is