Question

ing the 2k >n rule if the data are a. Discrete b. Continuous3. A data set that consists of 50 numbers has a minimum value of 16 and a maximum value of 74. Determine the class boundaries using the 2k >n rule if the data are a. Discrete b. Continuous

Answer 1

Answer:

discrete, the class boundaries are;

16 - 25

26 - 35

36 - 45

46 - 55

56 - 65

66 = 75

continuous, the class boundaries are;

16 to less than 26

26 to less than 36

36 to less than 46

46 to less than 56

56 to less than 66

66 to less than 76

Step-by-step explanation:

Given that;

Range of the dataset = maximum value - minimum value = 74 - 16 = 58

total number of data set n = 50

Rule : $2^{k}$ ≥ n

substitute value of n

$2^{k}$ ≥ 50

k × log(2) = log( 50 )

k × 0.3010 = 1.69897

k = 1.69897 / 0.3010

k = 5.64

Hence, we have a total of 6 number of classes needed to be constructed.

so,

class width = 74 - 16 / 6 = 58 / 6 = 9.67

If the Data is discrete, the class boundaries are;

16 - 25

26 - 35

36 - 45

46 - 55

56 - 65

66 = 75

If the Data is continuous, the class boundaries are;

16 to less than 26

26 to less than 36

36 to less than 46

46 to less than 56

56 to less than 66

66 to less than 76