Question

Ian and Danny work for a construction company. The table shows their daily wages (in dollars) for a week picked randomly from the calendar year.
lan s wages$: ↔ danny s wages$:
96 \ 153
120 \89
114\91
111\96
106\129
123\94
110\99

Answer 1

Answer:

a) Mean

b)  Ian earned higher wages than Danny during the days listed

Step-by-step explanation:

Ian and Danny work for a construction company. The table shows their daily wages (in dollars) for a week picked randomly from the calendar year. Ians Wages ()DannysWages() 96 153 120 89 114 91 111 96 106 129 123 94 110 99 The best way to compare Ians and Danny's wages is by using the ______ as the measure of center. Comparing this measure of center of the two data sets indicates that ______ generally earned higher wages during the days listed.

a) The mean also known as average is one of the most common used measure of center of the data. To calculate the mean, you sum all the data and then divide the total sum by the total number of data values.

b) For Ian's wages, the mean (μ) is calculated as:

$\mu=\frac{96+120+114+111+106+123+110}{7}=111.43$

The mean of Ians wages is $111.43

For Danny's wages, the mean (μ) is calculated as:

$\mu=\frac{153+89+91+96+129+94+99}{7}=107.29$

The mean of Danny's wages is $107.29

From the two data sets, Ian earned higher wages than Danny during the days listed