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Suppose we are given n values y1, Y2 Yn. To find the average of these values (also known as mean, y), we use the
Suppose we are given n values y1, Y2 Yn. To find the average of these values (also known as mean, y), we use the formula: Yavg === Y1+2++Yn n -11 =- Time Temperature F k=1 IM= Yk using sigma notation 12am 4am 8am 12pm 8am 12pm 4pm 8pm 60 55 65 85 100 75 (a) The table above lists the temperature in Davis at various times during a 24 hour period. Find the average temperature using these 6 values. (b) Plot the data from the table in a bar graph, with time on the x-axis and temper- ature on the y-axis. What is the width Ax of your rectangles? (c) Now suppose that the function f(x) tells us the temperature at time x, where x is the number of hours since 12am (aka we have 0 < x < 24). Using Ar that you found in part (b), what does the following expression tell us? Ax 24-0 k=1 f((k-1)Ax)
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