Midterm Review 2 1 Letecia\'s neighbor Ramon is helping some of his goats train
ID: 3246087 • Letter: M
Question
Midterm Review 2 1 Letecia's neighbor Ramon is helping some of his goats train for the upcoming Cedar County Fair. The high jump has always been his goats best event, and he is hoping they will take a blue ribbon this year. To get a baseline for the competition, Ramon asks Letecia to study goats ine tor high jumps from previous years, and she gathers the following data set (heights are in cm) Jump Height Frequency 70-79 80-89 90-99 100-109 110-119 8 24 39 30 19 a. Identify the population represented by this table. b. Identify the variable. What type of variable is it? c. Compute the mean, standard deviation and five-number summary for this data set. d. Ramon wants his goats to jump HIGHER than is typical for goats in this competition of course. How high should a goat jump to be considered "unusual"? e. Two of Letecia's goats, Old Billie and her son Hadey are watching the training Old Billie claims that she once jumped over 135cm Hadey rolls his eyes and says that's nothing to be impressed by because he once ran 100m in under 9 seconds. Old Billie laughs but Hadey explains that the mean time for goats to run 100m is 11 2s with a standard deviation of 1.2s. Based on these measurements (use the mean ond standard deviation from the table above for Old Billie), which of the two has the more extreme result?Explanation / Answer
A)From the above table the guys wants to get an estimate of how an average goat jumps,so that he can prepare his goats for the competition..He basically wants to infer about how the goat family can perform(jump) on the basis of the data in hand.
B)The variable under consideration is the Jump Height of the goats.(in cms).The variable under consideration is a continuous random variable.
C)By calculation mean comes out to be 97.33
Standard deviation=11.38225
Q1
120/4=30.so it is less than cumulative freq of 2nd class.
So Q1=lower limit of 2nd class+(30-cum freq of 1st class)*classwidth/2nd class freq.
Q1=88.67
Q3=105.83
Q2=96.67
D)For the goats jump to be unusual we must have height greater than Q3+1.5×IQR, where IQR=Q3-Q1.
So this value comes out to be 131.57. So if a goat jumps height greater than this then it will be considered as unusual.