Question

The coin size data (measured in millimeters) collected from each group is shown below.

Low Income   High Income
28   19
17   18
26   21
18   17
24   21
16   25
14   11
33   24
13   16
24   21
26   18
31   30
23   20
27   20
18   21
25  
14  
16  
27  
31  

You can copy the data into Excel by highlighting the data, right-clicking and selecting Copy, then opening Excel, clicking on a blank cell, and selecting Paste from the Edit menu.

Give your answers to at least 3 decimal places accuracy. Keep the data in Excel, as you will need this information again in later questions.

2. Compute the following summary statistics

a) The mean for the low income group is:

b) The median for the low income group is:

c) The standard deviation for the low income group is:

d) The mean for the high income group is:

e) The median for the high income group is:

f) The standard deviation for the high income group is:

Answer 1

Answer Date: 02/10/2019 a) The mean of low income is, Xx 28 +17+.......... +17+31 20 = 22.550 The mean of low income is 22.550). b) The median of low income is, First, rearrange the data from smallest to largest then find median by averaging two middle numbers.

13 23 28 | | 14 24 31 | | 14 24 31 16 25 33 16 26 17 26 18 27 18 27 | | | | M M10 + M11 = 24+24 = 24.000 The median of low income is 24.000.

The standard deviation of low income is, 2(x - 7)? V n-1 (28 - 22.550)+(17-22.550) + ..... +(27-22.550) +(31 - 22.550) 20-1 = 6.287 The standard deviation of low income is 6.287). d) The mean of high income is, n 19 +18+ .......... +20+21 15 = 20.133

The mean of high income is 20.133 The median of high income is, First, rearrange the data from smallest to largest then find median. 11 21 16 21 17 21 18 21 18 24 19 25 20 30 The set contains odd number of observed values, the median is 8th observed value is 20.000. The median of high income is 20.000

The standard deviation of high income is, 2(x – 7) V n-1 (19-20.133)2 +(18-20.133)2 +..... +(20 - 20.133)2 +(21- 20.133)2 15-1 = 4.307 The standard deviation of high income is 4.307).