Question

The amount of radiation received at a greenhouse plays an important role in determining the rate of photosynthesis. The data in the radiation tab of the exam 1 data file were read from a graph in the article “Radiation Component over Bare and Planted Soils in a Greenhouse” (Solare Energy, 1990:1011-1016). Use this data to answer the following questions.

a. Calculate the standard deviation, interquartile range, and range.

b. Construct a box plot for this data.

c. Calculate and report the cumulative relative frequency table with bins starting at the minimum value and widths of .5.

Excel Data

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Radiation

6.3

6.4

7.7

8.4

8.5

8.8

8.9

9

9.1

10

10.1

10.2

10.6

10.6

10.7

10.7

10.8

10.9

11.1

11.2

11.2

11.4

11.9

11.9

12.2

13.1

X

82

96

99

102

103

103

106

107

108

108

108

108

109

110

110

111

113

113

113

113

115

115

118

118

119

121

122

122

127

132

136

140

146

Answer 1

a)

Standard deviation:

Hence,

Std Dev = 1.697

Quartile 1 (Q1) = 8.925

Quartile 3 (Q3) = 11.175

IQR = Q3 – Q1 = 2.25

Range = Maximum – Minimum = 13.1 – 6.3 = 6.8

b)

c)

Steps for Cumulative

• Sort the dataset in ascending order.
• Create 7 Intervals of 0.1 width starting from 0.64 and count the frequency for each bin

Bins	Freq	Cumulative Freq
6.3-6.8	2	2
7.3-7.8	1	3
8.3-8.8	2	5
8.8-9.3	4	9
9.8-10.3	3	12
10.3-10.8	4	16
10.8-11.3	5	21
11.3-11.8	1	22
11.8-12.3	3	25
12.8-13.3	1	26