Question

The data set below contains the average yearly retail gasoline prices​ (cents/gallon) from 1990 to​ 2007, from a regional sample of gasoline stations. Complete parts a through c. Full data set Year 1990 1991 1992 1993 1994 1995 1996 1997 1998 Price 9090 102102 112112 119119 123123 107107 9999 103103 9797 Year 1999 2000 2001 2002 2003 2004 2005 2006 2007 Price 115115 133133 153153 141141 191191 201201 190190 247247 285285 ​a) Create a histogram of the data and describe the distribution. Use 80 as the lower limit for the first bin and use a class width of 20. Choose the correct graph below. A. 100 200 300 0 2 4 6 8 Price (cents/gallon) Frequency A histogram has a horizontal axis labeled Price in cents per gallon from 80 to 320 in increments of 20 and a vertical axis labeled Frequency from 0 to 8 in increments of 1. The histogram has vertical bars of width 20 starting at the horizontal axis value 80. The approximate heights of the bars are as follows, where the Price range is listed first and the frequency is listed second: 80 to 100, 0; 100 to 120, 1; 120 to 140, 0; 140 to 160, 2; 160 to 180, 3; 180 to 200, 6; 200 to 220, 5; 220 to 240, 3; 240 to 260, 0; 260 to 280, 2; 280 to 300, 1, 300 to 320, 1. B. 100 200 300 0 2 4 6 8 Price (cents/gallon) Frequency A histogram has a horizontal axis labeled Price in cents per gallon from 80 to 320 in increments of 20 and a vertical axis labeled Frequency from 0 to 8 in increments of 1. The histogram has vertical bars of width 20 starting at the horizontal axis value 80. The approximate heights of the bars are as follows, where the Price range is listed first and the frequency is listed second: 80 to 100, 0; 100 to 120, 1; 120 to 140, 1; 140 to 160, 1; 160 to 180, 0; 180 to 200, 2; 200 to 220, 6; 220 to 240, 3; 240 to 260, 2; 260 to 280, 2; 280 to 300, 0, 300 to 320, 0. C. 100 200 300 0 2 4 6 8 Price (cents/gallon) Frequency A histogram has a horizontal axis labeled Price in cents per gallon from 80 to 320 in increments of 20 and a vertical axis labeled Frequency from 0 to 8 in increments of 1. The histogram has vertical bars of width 20 starting at the horizontal axis value 80. The approximate heights of the bars are as follows, where the Price range is listed first and the frequency is listed second: 80 to 100, 3; 100 to 120, 6; 120 to 140, 2; 140 to 160, 2; 160 to 180, 0; 180 to 200, 2; 200 to 220, 1; 220 to 240, 0; 240 to 260, 1; 260 to 280, 0; 280 to 300, 1, 300 to 320, 0. D. 100 200 300 0 2 4 6 8 Price (cents/gallon) Frequency A histogram has a horizontal axis labeled Price in cents per gallon from 80 to 320 in increments of 20 and a vertical axis labeled Frequency from 0 to 8 in increments of 1. The histogram has vertical bars of width 20 starting at the horizontal axis value 80. The approximate heights of the bars are as follows, where the Price range is listed first and the frequency is listed second: 80 to 100, 0; 100 to 120, 1; 120 to 140, 0; 140 to 160, 1; 160 to 180, 1; 180 to 200, 0; 200 to 220, 2; 220 to 240, 2; 240 to 260, 0; 260 to 280, 3; 280 to 300, 2, 300 to 320, 6. The distribution is ▼ bimodal unimodal multimodal uniform and ▼ skewed to the right. symmetric. skewed to the left. ​b) Create a time series plot of the data and describe the trend. Choose the correct graph below. A. 1990 2007 100 200 300 Year Price (cents/gallon) A coordinate system has a horizontal x-axis labeled Year from 1990 to 2007 in increments of 1 and a vertical y-axis labeled Price in cents per gallon from 90 to 310 in increments of 20. The graph consists of eighteen plotted points connected by line segments from left to right. The coordinates of the plotted points are at (1990, 180), (1991, 189), (1992, 271), (1993, 275), (1994, 260), (1995, 254), (1996, 151), (1997, 152), (1998, 91), (1999, 95), (2000, 153), (2001, 127), (2002, 129), (2003, 89), (2004, 125), (2005, 91), (2006, 122), and (2007, 93). B. 1990 2007 100 200 300 Year Price (cents/gallon) A coordinate system has a horizontal x-axis labeled Year from 1990 to 2007 in increments of 1 and a vertical y-axis labeled Price in cents per gallon from 90 to 310 in increments of 20. The graph consists of eighteen plotted points connected by line segments from left to right. The coordinates of the plotted points are at (1990, 90), (1991, 102), (1992, 112), (1993, 119), (1994, 123), (1995, 107), (1996, 99), (1997, 103), (1998, 97), (1999, 115), (2000, 133), (2001, 153), (2002, 141), (2003, 191), (2004, 201), (2005, 190), (2006, 247), and (2007, 285). C. 1990 2007 100 200 300 Year Price (cents/gallon) A coordinate system has a horizontal x-axis labeled Year from 1990 to 2007 in increments of 1 and a vertical y-axis labeled Price in cents per gallon from 90 to 310 in increments of 20. The graph consists of eighteen plotted points connected by line segments from left to right. The coordinates of the plotted points are at (1990, 90), (1991, 112), (1992, 123), (1993, 99), (1994, 97), (1995, 133), (1996, 141), (1997, 201), (1998, 267), (1999, 265), (2000, 210), (2001, 191), (2002, 153), (2003, 115), (2004, 103), (2005, 107), (2006, 119), and (2007, 102). D. 1990 2007 100 200 300 Year Price (cents/gallon) A coordinate system has a horizontal x-axis labeled Year from 1990 to 2007 in increments of 1 and a vertical y-axis labeled Price in cents per gallon from 90 to 310 in increments of 20. The graph consists of eighteen plotted points connected by line segments from left to right. The coordinates of the plotted points are at (1990, 285), (1991, 247), (1992, 190), (1993, 201), (1994, 191), (1995, 141), (1996, 153), (1997, 133), (1998, 115), (1999, 97), (2000, 103), (2001, 99), (2002, 107), (2003, 123), (2004, 119), (2005, 112), (2006, 102), and (2007, 90). The time series plot has​ a(n) ▼ upward stationary downward trend. ​c) Which graphical display seems the more appropriate for these​ data? Explain? A. The time series plot is more appropriate because the data changes over time. B. The histogram is more appropriate because data that are measured as a price are more appropriately displayed as a histogram. C. The time series plot is more appropriate because data that are measured as a price are more appropriately displayed as a time series plot. D. The histogram is more appropriate because it shows the correct skew of the data.

Answer 1

Following is the frequency distribution

Class	Frequency
80-100	3
100-120	6
120-140	2
140-160	2
160-180	0
180-200	2
200-220	1
220-240	0
240-260	0
260-280	1
280-300	1

Following is the histogram:

(b)

Following is the time series plot

c)

A. The time series plot is more appropriate because the data changes over time.