Question

Q2: Suppose that a collection of data was given to you in order to provide an initial analysis. However, you noticed that the data given includes the attribute age. The age values for the data tuples are listed in an ascending order as follows:

Q2: Suppose that a collection of data was given to you in order to provide an initial analysis. However, you noticed that the data given includes the attribute age. The age values for the data tuples are listed in an ascending order as follows: 13, 15, 16, 16, 19, 20, 20, 21, 22,22, 25, 25, 25, 25, 30, 33, 33, 35,35, 35, 35, 36, 40, 45, 46, 52,70 Answer the following questions 1. Calculate the mean, median, and mode of the data? 2. What is the midrange of the data? 3. Can you find (roughly) the first quartile (Q1) and the third quartile (Q3) of the data? 4. Give the five-number summary of the data. 5. Use smoothing by bin means to smooth these data, using a bin depth of 3. Illustrate your steps. Comment on the effect of this technique for the given data. 6. How might you determine outliers in the data?

Answer 1

Meant sum of all observations () - Total no. of observations (a ). -.... Medean = Middlencost value of tot unor bolo sorted data Mode = value with highest frequang in date set. no First quarticle (9) Middlemost value of first half of date set Thised quantile (93) Meddlemost valine, of last half or se and half of donta se

of Lowest Value Miron Midrange = Highest value tega 2 I Mean = 29, 96296 Median = 25 € 2711th value = 14th value] Mode = 25, 35 (with frequency of 4 each) 2. Pledrange = 70 +13 = 91.5 3. 9=20 (Midvalue of first 13 observations) - 7th observation ; 93=35 (Midratue of secon last 13 observana = 21st value) 4 Five neember rimary Min = 13 P, = 20 Median=25 93 = 35 Man = 70 Youtliers = outside (9,-1.5xIOR , gt 1.34 IOR) I IER=0.91 = 15; Nalues below -2.5, or outlier valuco see is 70 and above 57.5

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