In: Statistics and Probability
1e) Use the given data to compute the following statistic: 46, 51, 63, 65, 74, 46, 58, 70, 43 The 85th percentile... P85
1f) Use the given data to compute the RANGE: 46, 51, 63, 65, 74, 46, 58, 70, 43
1g) Use the given data to compute the VARIANCE: 46, 51, 63, 65, 74, 46, 58, 70, 43
1h) Use the given data to compute the STANDARD DEVIATION: 46, 51, 63, 65, 74, 46, 58, 70, 43
No Handwriting please, type your answer.
1.e.
1f. The range is the difference between the highest and lowest values in the data set.
Ordering the data from least to greatest, we get:
43 46 46 51 58 63 65 70 74
The lowest value is 43.
The highest value is 74.
The range = 74 - 43 = 31.
1g. To find variance first we need to find mean
Create the following table.
data | data-mean | (data - mean)2 |
46 | -11.3333 | 128.44368889 |
51 | -6.3333 | 40.11068889 |
63 | 5.6667 | 32.11148889 |
65 | 7.6667 | 58.77828889 |
74 | 16.6667 | 277.77888889 |
46 | -11.3333 | 128.44368889 |
58 | 0.6667 | 0.44448889 |
70 | 12.6667 | 160.44528889 |
43 | -14.3333 | 205.44348889 |
So
1h.