Question

Every year, Letecia receives a letter from the Cedar Grove Police Department about her goats’ criminal activities. The mean number of arrests last year was 4.8 with a median of 4 arrests and a mode of 3 arrests. The standard deviation was 1.2.

a. Old Billie was not included in the crime report because she spent last year visiting Kenya. She was however arrested 12 times for motorcycle theft. If she were included in the crime report, what effect would she have on the mean, median, mode and standard deviation?

b. Old Billie’s son Hadey was also not included, since he was also in Kenya. He has never been arrested (he claims his mother enjoys getting caught). If he were included in the crime report, how would that impact the mean, median, mode and standard deviation?

c. The city council is considering a goat curfew. Advocates claim that it will cut goat arrests in half if adopted. What would the mean, median, mode and standard deviation become if this is the case?

d. Another proposal would make it a criminal offense for goats to set off fireworks. If every single one of Letecia’s goats set off fireworks once last year, what would the mean, median, mode and standard deviation of arrests have been if they had been arrested for it?

Answer 1

(a) The mean, median, mode, s.d. will increase ab 12 is targer than all of the nos. specified. Old Billie's son never got arrested. So, the mean and SD. will decrease. Median & Mode will remain same. Mean, median, mode will decrease but so will increase Mean, median, danke & SD will decrease increase Mode will remain same.