Could you please answer these questions with a brief description of why you got
ID: 3890938 • Letter: C
Question
Could you please answer these questions with a brief description of why you got these ansers
Suppose that the data for analysis includes the attribute age. The age values for the data tuples are (in increasing order) 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. (a) What is the mean of the data? What is the median? (b) What is the mode of the data? Comment on the data's modality (i.e., bimodal, trimodal, etc.) (c) What is the midrange of the data? (d) Can you find (roughly) the first quartile (Qi) and the third quartile (Qs) of the data? (e) Give the five-number summary of the data. (f) Show a boxplot of the data. (g) How is a quantile-quantile plot different from a quantile plot?Explanation / Answer
Mean =Sum of all values/no of values
Heare (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)/27=809/27=29.96
Median is the The median is also the number that is halfway into the set. To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.
So Median=25
b) Mode most Frequiently used number from Given numbers the mode is
25,35,16,20,22,33
c)Midrange =(Lowest value+highest value)/2
From given data (13+70)/2=41.5
d)FInding First quantile and third Quantile of data
30 15 16 Q1 16 19 20 Q2 20 21 22 Q3 22 25 25 Q4 25 25 30 Q5 33 33 35 Q6 35 35 35 Q7 36 40 45 Q8 46 52 70 Q9
so Q1= Quanatile =0
Q2= Quantile 3=0
e)A five number Summary data includes
-->A minimum Value
-->First Quantile
-->Medium
-->Third Quantile
-->The Maximum Value
So minimum is 13
Fist quantile 0
Mediam =25
Third quantile =0
The maximum is 70
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