a) The following grades were achieved in a GCSE mathematics exam by a sample of 6 students: 92 80 69 50 65 49 (i) Calculate the sample mean grade and the standard deviation.  (ii) Construct a 95% confidence interval for the population mean grade.  (iii) State what assumptions have to be made in order to be able to construct the confidence interval in part (ii).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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a) The following grades were achieved in a GCSE mathematics exam by a sample of 6 students: 92 80 69 50 65 49

(i) Calculate the sample mean grade and the standard deviation. 

(ii) Construct a 95% confidence interval for the population mean grade. 

(iii) State what assumptions have to be made in order to be able to construct the confidence interval in part (ii). 

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