I really appreciate it. Thank you. Consider the following sample. 2248 26 38 35

Question

I really appreciate it. Thank you. Consider the following sample. 2248 26 38 35 85 32 55 80 38 79 32 50 90 39 14 47 45 64 49 68 69 95 53 96 45 58 26 13 64 a) Calculate the mean and standard deviation for this data. b) Determine the percentage of data values that fall in each of the intervals x ± s. x ±2s, and 3s c) Compare these with the percentages that should be expected from a bell-shaped distribution. Does it seem plausible that these data came from a bell-shaped population? 51.83 (Round to two decimal places as needed ) What is the standard deviation of the data set? 2329 (Round to two decimal places as needed )

Explanation / Answer

Soultion:

smple <- c(22,48,26,38,35,85,32,55,80,38,79,32,50,90,39,14,47,45,64,49,68,69,95,53,96,45,58,26,13,64)
mean(smple)
sd(smple)

mean=51.83333

sd=23.28842

ANSWERS MARKED ARE CORRECT

Accroding to 68-95-99.7 rule that

68% of the data within 1 standard deviations of the mean(x bar -s and x bar+s)

95% of the data within 2 standard deviations of the mean(x bar-2s and xbar+2s)

99.7%of the data within 3 standard deviations of the mean(x bar-3s and xbar +3x

Solutionb:

68%

95%

99.7%

Solutionc:

yes the data came form normal distribution

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