Question

Consider the following data representing the price of plasma televisions (in dollars).

1298, 1343 ,1390 ,1430,1272,1245,1393,1178,1339,1391,1182,1205,1360,1396,1335,1213,1199 ,1164,1259,1434, 1231

Price of Plasma Televisions (in Dollars)

Class	Frequency	Class Boundaries	Midpoint	Relative Frequency	Cumulative Frequency
1164–1213
1214–1263
1264–1313
1314–1363
1364–1413
1414–1463

Step 1 of 7: Determine the class width of the data given.

Step 2 of 7: Determine frequency in 3rd class

Step 3 of 7: Determine the lower class boundary for the second class

Step 4 of 7: Determine the upper class boundary for the 3rd class

Step 5 of 7: Identify the midpoint of the first class

Step 6 of 7: Calculate the relative frequency of the second class. Determine your answer as a simplified fraction

Step 7 of 7: Compute the cumulative frequency of the 5th class

Answer 1

class	Frequency	class boundaries	midpoint	Relative Frequency	cumulative Frequency (less than )
1164-1213	6	1163.5-1213.5	1188.5	0.2857	0.2857
1214-1263	3	1213.5-1263.5	1238.5	0.1429	0.4286
1264-1313	2	1263.5-1313.5	1288.5	0.0952	0.5238
1314-1363	4	1313.5-1363.5	1338.5	0.1905	0.7143
1364-1413	4	1363.5-1413.5	1388.5	0.1905	0.9048
1414-1463	2	1413.5-1463.5	1438.5	0.0952	1

Step 1 of 7: Determine the class width of the data given.

Answer : The class width is the difference between the upper or lower class limits of consecutive classes. All classes should have the same class width. In this case, class width equals to the difference between the lower limits of the first two classes.

class width = 1214-1164=50

Step 2 of 7: Determine frequency in 3rd class

Answer : 2

Step 3 of 7: Determine the lower class boundary for the second class

Answer : 1213.5

Step 4 of 7: Determine the upper class boundary for the 3rd class

Answer : 1313.5

Step 5 of 7: Identify the midpoint of the first class

Answer : 1188.5

Step 6 of 7: Calculate the relative frequency of the second class. Determine your answer as a simplified fraction

Answer : 0.1429

Step 7 of 7: Compute the cumulative frequency of the 5th class

Answer : 0.9048