Question

In 100 words what do these measures tell you about the “spread” of the data?

weight(x) mean(x1) x1-mean deviance squared (x1-mean)2

100 126.25 -26.25 689.0625 100 126.25 -26.25 689.0625 103 126.25 -23.25 540.5625 104 126.25 -22.25 495.0625 105 126.25 -21.25 451.5625 107 126.25 -19.25 370.5625 110 126.25 -16.25 264.0625 110 126.25 -16.25 264.0625 114 126.25 -12.25 150.0625 115 126.25 -11.25 126.5625 115 126.25 -11.25 126.5625 115 126.25 -11.25 126.5625 115 126.25 -11.25 126.5625 115 126.25 -11.25 117 126.25 -9.25 85.5625 117 126.25 -9.25 85.5625 118 126.25 -8.25 68.0625 120 126.25 -6.25 39.0625 250 126.25 123.75 15314.06 275 126.25 148.75 22126.56

Measures of Dispersion. MEaAN MEDIAN MODE RANGE INTER RANGE VARIANCE 100 100 100 100 38.9 125.25 100 100 100 100 103 103 103 103 104 104 104 104 105 105 105 105 107 107 107 107 110 110 110 110 110 110 110 110 114 114 114 114 115 115 115 115 106.8 115 115 115 115 115 115 115 115 115 115 115 115 115 115 115 115 117 117 117 117 117 117 117 117 118 118 118 118 120 120 120 120 250 250 250 250 275 275 275 275 145.7 126.25 115 115 175 8

Answer 1

1. Mean :- it gives the average value of all data points.

2. Median:- It tell about what the central value is.

3. Mode:- Mode gives information about the data which is repeating maximum number of times.

4. Range:- It tell that our data is within which limits or we can simply say that range is the difference between highest and lowest value.

5. Inter range:- From inter range we can conclude that our middle 50% of the values lies within what range.

6. Variance:- variance tells us about spread of the data. It gives information that how far another data values lies from the average value.