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

Answer:

 the midpoint of the class with the greatest frequency 1500

Step-by-step 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                              $\mathbf{ \dfrac{3}{120} = 0.025}$

$800 - $1000                  7                              $\mathbf{ \dfrac{7}{120} = 0.059}$

$1000 - $1200                11                              $\mathbf{ \dfrac{11}{120} = 0.092}$

$1200 - $1400                22                             $\mathbf{ \dfrac{22}{120} = 0.183}$

$1400 - $1600                40                            $\mathbf{ \dfrac{40}{120} = 0.333}$

$1600 - $1800                 24                            $\mathbf{ \dfrac{24}{120} = 0.2}$

$1800 - $2000                 9                            $\mathbf{ \dfrac{9}{120} = 0.075}$

$2000 - $2200                4                             $\mathbf{ \dfrac{4}{120} = 0.033}$

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 =$\dfrac{upper \ limit + \ lower \ limit}{2}$

The midpoint =$\dfrac{1400+1600}{2}$

= 1500