- Hepirical Rule Shaped Or Wymmetric Mound Shaped The Following Rules Apply For Distributions Grapha That Have An A 1 (57.59 KiB) Viewed 116 times
Hepirical Rule shaped" or "wymmetric, mound-shaped) the following rules apply. For distributions (grapha) that have an approximate normal distribution (ho known as Gino Stric, bell- • Approximately 6% of the data should be within one andand deviation of the me that is appendiately 6 of the data should lie between (4+0) or between (-+). • Approacimately 35% of the data should le within two standard deviations of the mean that is approximately 35 of the data should be between (-2, +20) or between (-2,9+2) • Approximately 99.7% (almost all) of the data should lie within three standard deviations of the men that is approach mately 99.7% of the date should lie between (-30, +30) or between (8-36, +38). Chebyshev's Rule For any distribution with any shape (including normal distributions). 2 (1 - 1)* 100% of the data should be within standard deviations from the mean, however, not necessarily half of that percentage lies on either side, since the data need not be symmetric > Qui 2 Code > represents the number of siblings > x = c(2,3,2,1,3,1,2,6,1,2,2,2,2,1,2,2,1,1,1,2) > round (mean().2) [1] 2.4 > round(sd).2) (1) 1.27 > hist, breaks-seq(0.5,6.5, by-0.2).main-'No. of Siblings' lab='Siblings) 1. Complete the table below. 2. On the histogram, do the following: (a) Mark the x-axis with a "T" at the value of the sample mean (b) Mark the x-axis with a ""and")" at the values that are one standard deviation from the menn (c) Mark the x-axis with a "T" and "T" at the values that are two standard deviations from the mean 6.26, +34) (3.31.7.2) WW Wales (-) 2.1.2 4.233.7) Vo Hem 12 11 14 20 12/280.66% , Proporti Papirical .19 Proportion by Club 1- Te so (3 3.174.92.59) 2.4-1.27(2), 2.5+ (2 ale 24-1127 (2) (-0.14 - 4.9 *