Question

now determine the frequencies. the class frequency is the total number of data values in that class. recall that each data value should fall into exactly one class. now examine the data set and determine how many data values fall into each class. note that with such a large number of values, you may find it helpful to order the data first.

28 33 33 34 35 37 38 39 39 41 43 43 44 44 44 44 45
45 45 45 47 47 47 47 47 47 48 49 50 50 50 51 51 51
51 51 52 52 52 52 52 55 55 56 57 58 59 61 73 81

complete the table.

class limits	class boundaries	frequency
39 – 49	38.5 – 49.5
50 – 60	49.5 – 60.5
61 – 71	60.5 – 71.5
72 – 82	71.5 – 82.5

Explanation:

Step1: Count for 28 - 38

Identify data in 27.5 - 38.5: 28,33,33,34,35,37,38. Count: 7.

Step2: Count for 39 - 49

Data in 38.5 - 49.5: 39,39,41,43,43,44,44,44,44,45,45,45,47,47,47,47,47,47,48,49. Count: 20.

Step3: Count for 50 - 60

Data in 49.5 - 60.5: 50,50,50,51,51,51,51,51,52,52,52,52,52,55,55,56,57,58,59. Count: 19.

Step4: Count for 61 - 71

Data in 60.5 - 71.5: 61. Count: 1.

Step5: Count for 72 - 82

Data in 71.5 - 82.5: 73,81. Count: 2.

Answer:

For class 28 - 38: 7
For class 39 - 49: 20
For class 50 - 60: 19
For class 61 - 71: 1
For class 72 - 82: 2