With reference to Table 2.5
Table 2.5 Frequency Distribution of Monthly Apartment Rental Rates for 200 Studio Apartments
Rental rate
|
Number of apartments
|
$350
|
–
|
379
|
|
3
|
380
|
–
|
409
|
|
8
|
410
|
–
|
439
|
|
10
|
440
|
–
|
469
|
|
13
|
470
|
–
|
499
|
|
33
|
500
|
–
|
529
|
|
40
|
530
|
–
|
559
|
|
35
|
560
|
–
|
589
|
|
30
|
590
|
–
|
619
|
|
16
|
620
|
–
|
649
|
Total
|
12 200
|
(a) What are the lower and upper stated limits of the first class?
(b) What are the lower and upper exact limits of the first class?
(c) The class interval used is the same for all classes of the distribution. What is the interval size?
(d) What is the midpoint of the first class?
(e) What are the lower and upper exact limits of the class in which the largest number of apartment rental rates was tabulated?
(f) Suppose a monthly rental rate of $439.50 were reported. Identify the lower and upper stated limits of the class in which this observation would be tallied.
(a) $350 and $379
(b) $340.50 and $379.50 (Note: As in Example 2, two additional digits are expressed in this case instead of the usual one additional digit in exact class limits as compared with stated class limits.)
(c) Focusing on the interval of values in the first class,
$379.50 2 $349.50 ¼ $30 (subtraction of the lower exact class limit from the upper exact class limit of the class)
$380 2 $350 ¼ $30 (subtraction of the lower stated class limit of the class from the lower stated class limit of the next-higher adjoining class)
(d) $349.50 þ 30/2 ¼ $349.50 þ $15.00 ¼ $364.50
(e) $499.50 and $529.50
(f) $440 and $469.