63.5k views
12 votes
9 Two banana producers each pick ten bananas at random from their

plantations and weigh them to the nearest gram. The results are
shown below.

Producer A
155
156 158 151 160 163 156 157 152 151

Producer B
128
123 154 180 156 173 133 167 189 156

They can sell their bananas to a supermarket if they are heavier than 140g
on average and are reasonably consistent in weight.

a) Which producer is more likely to be able to sell his bananas to the
supermarket?

b) Justify your answer to part a), showing appropriate use of calculations.


2 Answers

5 votes

Explanation:

hi miracle am from india

User Malik Rizwan
by
5.2k points
2 votes

Answer:

A

Explanation:

mean for producer A = (

155+156+158......)/10=155.9

Range = 163 -151 = 12

sample standard deviation = (√(£(x-mean)^2/(n-1))

mean for producer B=

(128+123+154+.....)/10 =155.9

range = 189-128 =61

sample standard deviation = (√(£(x-mean)^2/(n-1))

We can calculate that standard deviation of A is less than of B

So we can say A is more consistent and will likely be picked

User Oliver Nicholls
by
5.5k points
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