Question

Refer to the following distribution of commissions:______. Monthly Commissions Class Frequencies $600 up to $800 3 $800 up to 1,000 7 $1,000 up to $1,200 11 $1,200 up to $1,400 22 $1,400 up to $1,600 40 $1,600 up to $1,800 24 $1,800 up to $2,000 9 $2,000 up to $2,200 4 For the preceding distribution, what is the midpoint of the class with the greatest frequency?

Answer 1

the midpoint of the class with the greatest frequency 1500

Explanation:

The illustration of the dataset given can be well represented in a table format as shown below.

Class Frequency Relative Frequency

$600 - $800 3
`\mathbf{ (3)/(120) = 0.025}`

$800 - $1000 7
`\mathbf{ (7)/(120) = 0.059}`

$1000 - $1200 11
`\mathbf{ (11)/(120) = 0.092}`

$1200 - $1400 22
`\mathbf{ (22)/(120) = 0.183}`

$1400 - $1600 40
`\mathbf{ (40)/(120) = 0.333}`

$1600 - $1800 24
`\mathbf{ (24)/(120) = 0.2}`

$1800 - $2000 9
`\mathbf{ (9)/(120) = 0.075}`

$2000 - $2200 4
`\mathbf{ (4)/(120) = 0.033}`

Total 120 1

Therefore, the midpoint of the class with the greatest frequency is between $1400 - $1600 since the frequency 40 happens to be the greatest frequency

The midpoint =
`(upper \ limit + \ lower \ limit)/(2)`

The midpoint =
`(1400+1600)/(2)`

= 1500