Problem 1: pai The peeds (n megaherntz) of 100 semicondactors are used to prodac

Question

Problem 1: pai The peeds (n megaherntz) of 100 semicondactors are used to prodace the following histogram and descriptive statistics Descriptive Statistics: Speed Variable N Mean SE Mean StDev Minimm Data 01 03 Maximum 100 695.24 0.742 7.42 679.01 690.44 701.45 709.79 a) Descrnibe the shape of the disribution of speed Based on the shape of the distnbation what would you prefer 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.

Explanation / Answer

a) The shape of the distribution is a normal distribution

We would prefer the mean and standard deviation for the center and spread

b) In a normal distribution mean=mode=median

Hence approximate value of median=695.24

c) 5 number summary is

Minimum=679.01

Maximum=709.79

Q1=690.44

Q3=701.45

Mean=695.24

d)

IQR=Q3-Q1=701.45-690.44=11.01

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