A selection of staff wages is collected and shown below.
£254 £254 £310 £276 £116 £90 £312 £180 £180 £536 £350 £243 £221 £165 £239 £700
What is the mode of staff wages? £ 254 and £ 180
What is the median of the staff wages? £ 248.5
What is the mean of the staff wages? £ 276.625
Select the most appropriate average, mean, median or mode.

Respuesta :

Answer:    

Modes of staff wages are £180 and £254.

Median of staff wages is £248.5

Mean of staff wages is £276.625

Step-by-step explanation:

Given list of staff wages is.....

£254  £254  £310  £276  £116  £90  £312  £180  £180  £536  £350  £243  £221  £165  £239  £700

Rearranging the data according to ascending order.....

£90  £116  £165  £180  £180  £221  £239  £243  £254  £254  £276  £310  £312  £350  £536  £700

The mode is the number repeated most often. This list has two values that are repeated two times, which are £180 and £254.  

So, the modes are:  £180 and £254

Median is the middle value in the list. As there are total 16 numbers, so the middle value will be the average of 8th and 9th numbers, which are £243 and £254 respectively.

So, the median will be:  [tex](\frac{243+254}{2})=\frac{497}{2}=248.5[/tex]

The mean is the simple average of all numbers in the list. There are total 16 numbers.

So, the mean will be:

[tex]\frac{90+116+165+180+180+221+239+243+254+254+276+310+312+350+536+700}{16}\\ \\ =\frac{4426}{16}=276.625[/tex]