Question

question #6
given the following frequency distribution, what are the correct relative frequencies?
income (month) frequency
$1,401 - $1,900 25
$1,901 - $2,400 18
$2,401 - $2,900 47
$2,901 - $3,400 33
$3,401 - $3,900 17
25/140, 18/140, 47/140, 33/140, 17/140
25, 43, 90, 123, 140
25/140, 43/140, 90/140, 123/140, 140/140
25, 18, 47, 33, 17
question #7
a frequency distribution is to be constructed with the following data. five classes are
to be constructed with a class width of 9. determine the upper - class limit for the first
class.
92, 82, 76, 83, 56, 57, 60, 98, 83, 95, 89, 76, 57, 94, 70, 69, 86, 64, 69, 56, 57, 63,
55, 63, 75, 98
55
64
54
63

Explanation:

Step1: Calculate total frequency

Total frequency \(n = 25+18 + 47+33+17=140\)

Step2: Calculate relative frequency formula

Relative frequency \(=\frac{\text{Frequency of class}}{\text{Total frequency}}\)
For \( \$1,401-\$1,900\): \(\frac{25}{140}\)
For \( \$1,901 - \$2,400\): \(\frac{18}{140}\)
For \( \$2,401-\$2,900\): \(\frac{47}{140}\)
For \( \$2,901-\$3,400\): \(\frac{33}{140}\)
For \( \$3,401-\$3,900\): \(\frac{17}{140}\)

Answer:

25/140, 18/140, 47/140, 33/140, 17/140