A hydroponic grower was trialling two different greenhouse systems for growing tomatoes. To compare the systems, the weight of tomatoes produced by each plant in the two greenhouses were recorded. The data is summarised below. O Greenhouse A

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Questions c and d please.

A hydroponic grower was trialling two different greenhouse systems for growing tomatoes. To
compare the systems, the weight of tomatoes produced by each plant in the two greenhouses
were recorded. The data is summarised below.
O Greenhouse A
Greenhouse B
kg
11
12
13
14
15
16
17
18
19
20
(а)
Ignoring the outlier, compare the range of weights produced by plants in greenhouse A
with that of greenhouse B.
(b)
plants in greenhouse A with that of greenhouse B.
State and use the interquartile ranges to compare the spread of weights produced by
(c)
was identified as an outlier.
Using the result of a relevant calculation, explain why one of the weights in greenhouse A
(d)
greenhouse produces a larger crop of tomatoes than the other.
Explain whether there is evidence to support the conjecture that the system in one
Transcribed Image Text:A hydroponic grower was trialling two different greenhouse systems for growing tomatoes. To compare the systems, the weight of tomatoes produced by each plant in the two greenhouses were recorded. The data is summarised below. O Greenhouse A Greenhouse B kg 11 12 13 14 15 16 17 18 19 20 (а) Ignoring the outlier, compare the range of weights produced by plants in greenhouse A with that of greenhouse B. (b) plants in greenhouse A with that of greenhouse B. State and use the interquartile ranges to compare the spread of weights produced by (c) was identified as an outlier. Using the result of a relevant calculation, explain why one of the weights in greenhouse A (d) greenhouse produces a larger crop of tomatoes than the other. Explain whether there is evidence to support the conjecture that the system in one
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Step 1

(c). Explain why one of the weights in green house A was identified as an outlier:

The presence of outliers is detected with the use lower and upper limits of the data set.

From the given boxplot, the values of quartiles are identified as given below:

First quartile is Q1 = 14.5 and third quartile is Q3 = 16.4

The inter quartile range is obtained below as:

Statistics homework question answer, step 1, image 1

Outliers are the values that are less than the lower limit of the data set and the values that are greater than the upper limit of the data set.

The value of 19.7 is greater than the upper limit 19.25.

Hence, the data point 19.7 is an outlier.

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