a business manager asks his employees how satisfied they are with their jobs using an anonymous survey every…

a business manager asks his employees how satisfied they are with their jobs using an anonymous survey every month. high numbers indicate greater job satisfaction, whereas low numbers indicate dissatisfaction.\nhere are the satisfaction ratings from last month:\n2, 3, 4, 6, 6, 10\nhere are this months satisfaction ratings:\n3, 3, 4, 5, 8, 8, 9\nif you use medians to compare the data, which is true about the employee satisfaction?\no both months had equal employee satisfaction.\no this cannot be determined.\no this month had a higher satisfaction rating than last month.\no last month had a higher satisfaction rating than this month.

a business manager asks his employees how satisfied they are with their jobs using an anonymous survey every month. high numbers indicate greater job satisfaction, whereas low numbers indicate dissatisfaction.\nhere are the satisfaction ratings from last month:\n2, 3, 4, 6, 6, 10\nhere are this months satisfaction ratings:\n3, 3, 4, 5, 8, 8, 9\nif you use medians to compare the data, which is true about the employee satisfaction?\no both months had equal employee satisfaction.\no this cannot be determined.\no this month had a higher satisfaction rating than last month.\no last month had a higher satisfaction rating than this month.

Answer

Explanation:

Step1: Calculate last - month's median

Arrange last month's data 2, 3, 4, 6, 6, 10 in ascending order. Since there are 6 data points ($n = 6$, an even number), the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th values. $\frac{n}{2}=3$ and $\frac{n}{2}+1 = 4$. The 3rd value is 4 and the 4th value is 6. Median$=\frac{4 + 6}{2}=5$.

Step2: Calculate this - month's median

Arrange this month's data 3, 3, 4, 5, 8, 8, 9 in ascending order. Since there are 7 data points ($n = 7$, an odd number), the median is the $(\frac{n + 1}{2})$th value. $\frac{n+1}{2}=\frac{7 + 1}{2}=4$. The 4th value is 5.

Answer:

Both months had equal employee satisfaction.