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# Find and for the nine numbers find data set 1 data

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Unformatted text preview: relation Example 4 : The two data sets below are mixed together. Find µ and σ for the nine numbers. Find Data Set 1 Data set 2 N1 = 4 N2 = 5 Regard the 9 numbers as: xi µ1 − σ 1 15 − 4 = 11 4 =2 2 µ1 + σ1 15 + 4 = 19 µ2 − σ 2 24 − 3 = 21 5 = 2 .5 2 µ2 + σ 2 24 + 3 = 27 µ1 = 15 µ 2 = 24 xi fi σ1 = 4 σ2 = 3 2 N1 2 2.5 N2 2 fi N1 2 N2 2 With calculator press: x f 11 2 19 2 21 2.5 27 2.5 ON MODE COMP MODE SD 11 SHIFT ; 2 DT 19 SHIFT ; 2 DT 21 SHIFT ; 2.5 DT 27 SHIFT ; 2.5 DT SHIFT S-SUM n EXE 9 SHIFT S-VAR x EXE 20 =µ SHIFT S-VAR xσn EXE 5.6667 = σ SD ∴ µ = 20, σ = 5.6667 Let’s see how much algebra Prof. Chiu’s trick “saves” us from….. Chiu’s Data Set 1: N1 = 4, µ1 = 15, σ 1 = 4 Data Set...
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## This note was uploaded on 04/22/2011 for the course STAT 301 taught by Professor Gabrille during the Spring '11 term at HKU.

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