Problem 1: ppal The peeds Gn megahernz) of 100 semicondactors are used to prodac

Question

Problem 1: ppal The peeds Gn megahernz) of 100 semicondactors are used to prodace the following histogram and descriptive statistics Descriptive Statistics: Speed Variable N Mean SE Mean StDev Minimm a) Describe the shape of the distribution 02 3 ximum 100 695.24 0.742 7.42 679.02 65044 701 45 709-73 Data 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 (1QR) of the data.

Explanation / Answer

a) The shape of the distribution is symmetric or bell shaped. So it is follows normal distribution

b) Median = (Q3+Q1)/2 = (701.45+690.44)/2 = 695.945

c) Five number summary :

Minimum value = 701.45
Maximum value = 709.79

Q1 = 690.44
Q2 = 695.945
Q3 = 701.45

d) IQR = (Q3-Q1) = 701.45 - 690.44 = 11.01

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