The hourly wage of $5$ workers at Arms Factory are:<br>&emsp;&emsp;&pound;$8,$&pound;$10,$&pound;$14,$&pound;$11,$&pound;$13$<br>The hourly wage of $6$ workers at Bran Factory are:&emsp;&emsp;<br>&pound;$7,$&pound;$13,$&pound;$14,$&pound;$10,$&pound;$9,$&pound;$10$<br>Which factory has a higher mean wage and by how much?