Question

Options Frequency 14 12 10 8 6 4 2 0七 88 93 98 103 108 113 118 123 Length of Eruption

The n= 44 , mean=104.13636, std.dev= 6.2490, median= 104 , range= 30

1. Based on the relationship between median and mode and the shape of the histogram, does it appear that the distribution is approximately bell shaped? (i.e. does the Empirical Rule apply”?)

2. What approximate percent does the empirical rule say should be within one

   standard deviation? _____ two standard deviations? _______

   Three standard devations? _______

3. Calculate an interval (mean – std dev, mean + std dev)

   __________ __________ Lower limit Upper limit

   How many of the data values lie in this interval _____ ?

   What percent of the data values lie in this interval _____?

4. Calculate an interval (mean – 2*std dev, mean + 2*std dev)

   __________ __________
   Lower limit Upper limit
   How many of the data values lie in this interval _____ ? What percent of the data values lie in this interval _____?

Answer 1

Given .. n=44 mecn - lo 4.1363 sid . d ev C. 249。 = ไฮ้.dist.bution's approximately bef l shaped Empirical Rude stade thet for a nar mel distiibut on , nearl au the clate col fall within three stendlard deviati'on a the mean. The empivical Rule broken into +heee parts . c87. d dada falls wth'n the frrst stondard deviotton fro the mean gs-% fall a.ithin t cus Standard deviatan . 99-7 fall wrthin three stendard oleition c3 ·approximately 687. ₫the doda fouls cwithin one stend curd deviation f the mecn . In hemci< 97.8873 (97-8273c, llo.38Ss36) , Approximedely g8 t the dad« fals within twwa standord deviatian the mcan

Paqe-2 2X С.2490 pptr limii limiA μ-2ς Ξ 104-13636-12.498 Appnoximately 99.7% đ the dada falls ithử three standard deurahon d the 12.2.8833 ç (8s-389 3c, 122 .8833c)