The numbers of rooms for 15 homes recently sold were: 8, 8, 8, 5, 9, 8, 7, 6, 6, 7, 7, 7, 7, 9, 9. what is the sample standard deviation?
Accepted Solution
A:
From the data set given: 8, 8, 8, 5, 9, 8, 7, 6, 6, 7, 7, 7, 7, 9, 9 to get the standard deviation we use the formula for variance given by: σ²=[Σ(x-μ)²]/(n-1) σ² is the variance μ is the mean The mean of the data will be: μ=(8+8+8+5+9+8+7+6+6+7+7+7+7+9+9)/15=7.4 The variance will be found as follows: σ²=[(8-7.4)²×4+(5-7.4)²+3×(9-7.4)²+5×(7-7.4)²+2×(6-7.4)²]/(15-1) σ²=1.4 thus σ=√1.4=1.1183