Please solve the following exercises in groups of 3 students ease su ha ember 22

Question

Please solve the following exercises in groups of 3 students ease su ha ember 22 Two problems will selected for gradin Msword or handwrite them c earn full must atte all ease and ne ncil Problem 1: The speeds (in megahertz) of 100 semiconductors are used to produce the following histogram and descriptive statistics. Descriptive Statistics: Speed Variable N Mean SE Mean StDev Minimum Data 100 695.24 0.742 7.42 Q3 Maximum 679.01 690.44 701.45 709.79 01 a) Describe the shape of the distribution of speed. Based on the shape of the distribution what would you prefer as measures of center and spread? Justify your answer b) What is the approximate median speed of the semiconductors? c) Write down the five-number-summary of the speed of the semiconductors. d) Calculate the interquartile range (IQR) of the data. Solve the following problems from the textbook Problem 6-54, page 222

Explanation / Answer

a) The shape pf the distribution is a Bell Shape. The distribution of the data set is Normal Distribution.

Measure of Center is Mean = 695.24

Measure of spread is Standard Deviation = 7.42

b) Since this is a normal distribution, the Median speed of the conductors is

same as the mean

Median speed of the conductors = 695.24

c) Five number summary is given below :

1) Minimum = 679.01

2) Lower quartile = Q1 = 690.44

3) Median = 695.24

4) Upper Quartile = Q3 = 701.45

5) Maximum = 709.79

d) Inter Quartile Range = IQR = Q3 - Q1

= 701.45 - 690.44

= 11.01

IQR = 11.01

  

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