3. the amount lucy earned babysitting each month for the past five months was $225, $280, $240, $180, and…

3. the amount lucy earned babysitting each month for the past five months was $225, $280, $240, $180, and $200. suppose the mean for six months was $220. how much did lucy earn babysitting during the sixth month? (example 2)

3. the amount lucy earned babysitting each month for the past five months was $225, $280, $240, $180, and $200. suppose the mean for six months was $220. how much did lucy earn babysitting during the sixth month? (example 2)

Answer

Explanation:

Step1: Calculate the sum of the first five - month earnings

$225 + 280+240 + 180+200=1125$

Step2: Calculate the sum of the six - month earnings

Since the mean of six months is $220$, and the formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, then the sum of six - month earnings $\sum_{i = 1}^{6}x_{i}=220\times6 = 1320$

Step3: Calculate the sixth - month earnings

Let the sixth - month earnings be $x$. We know that the sum of the first five - month earnings plus the sixth - month earnings equals the sum of the six - month earnings. So $x=1320 - 1125=195$

Answer:

$195$