Question

This the following data set shows the bank account balance for a random sample of 16 irs he stood

Answer 1

To determine the mean of the data set, find the sum of the given data and then divide the sum by the total number of data. Thus, we have the following mean:

`\bar{x}=(46+255+127+58+46+46+150+283+270+270+(-11)+127+(-7)+127+46+127)/(16)`

Simplifying the expression, we have the following:

`\bar{x}=(1960)/(16)=122.5`

To identify the median, arrange the given data in ascending order.

`-11,-7,46,46,46,46,58,127,127,127,127,150,255,270,270,283`

The median, M, is the middlemost score. Since we have 16 data, get the average of the 8th and 9th scores.

`M=(127+127)/(2)=(254)/(2)=127`

To identify the mode, find the score which occurred the most. Thus, since both 4 and 127 occurred four times, the modes are 4 and 127.