The shelf life of a high-speed photographic film is being investigated by the manufac turer. The following data are available (in days). 126 129 134 141 131 132 136 145 116 128 130 162 125 126 134 129 134 127 120 127 120 122 129 133 125 111 147 129 150 148 126 140 130 120 117 131 149 117 143 133 (a) Construct a histogram and comment on the properties of the data. (b) Consider the quantity (c) Now consider the quantity (i - a)². For what value of a is this minimized? 1 ₁ - al. What value of a that minimizes this?
The shelf life of a high-speed photographic film is being investigated by the manufac turer. The following data are available (in days). 126 129 134 141 131 132 136 145 116 128 130 162 125 126 134 129 134 127 120 127 120 122 129 133 125 111 147 129 150 148 126 140 130 120 117 131 149 117 143 133 (a) Construct a histogram and comment on the properties of the data. (b) Consider the quantity (c) Now consider the quantity (i - a)². For what value of a is this minimized? 1 ₁ - al. What value of a that minimizes this?
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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Transcribed Image Text:The shelf life of a high-speed photographic film is being investigated by the manufac-
turer. The following data are available (in days).
126 129 134 141
131 132 136 145
116 128 130 162
125 126 134 129
134 127 120 127
120 122 129 133
125 111 147 129
150 148 126 140
130 120 117 131
149 117 143 133
(a) Construct a histogram and comment on the properties of the data.
(b) Consider the quantity ₁ (xi - a)². For what value of a is this minimized?
(c) Now consider the quantity 1 x - al. What value of a that minimizes this?
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VIEWStep 2: Construct the frequency distribution using the given data.
VIEWStep 3: Construct the histogram and describe it's properties.
VIEWStep 4: Determine the value of a for which the given quantity would have minimum value.
VIEWStep 5: Determine the value of a for which the given quantity would have minimum value.
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