Collect data about maximum and minimum range of temperature of last 20 days of current month...and it's range mean deviation and frequency polygon
Answers
First, let us take the temperatures of the last 20 days, that are as follows - 16, 15, 14, 17, 18, 16, 15, 17, 16, 13, 16, 18, 17, 14, 15, 16, 13, 19, 18, 17.
When we arrange this data in ascending order, we will get it as 13, 13, 14, 14, 15, 15, 15, 16, 16, 16, 16, 16, 17, 17, 17 ,17, 18, 18, 18, 19.
Therefore, the range is given by highest - lowest, i.e., r = 19-13 or, r = 6.
For finding the mean deviation, we need the mean from the data.
Therefore, mean =(13+13+14+14+15+15+15+16+16+16+16+16+17+17+17+17+18+18+18+19)/20 = 303/20 = 15.
The formula for finding mean deviation is ∑ I X - μ I / N.
Therefore, we can write the distance from 15 for all of the following values as 2, 2, 1, 1, 0 ,0 ,0 , 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4.
Hence, the mean deviation = (2+2+1+1+0+0+0+1+1+1+1+1+2+2+2+2+3+3+3+4)/20 = 1.6.
Using this data, one can easily plot a frequency polygon.