the following histogram shows how many hours each cashier worked at a store last week. in which interval is…

the following histogram shows how many hours each cashier worked at a store last week. in which interval is the median number of hours? choose 1 answer: a 0 to 10 b 10 to 20 c 20 to 30 d 30 to 40

the following histogram shows how many hours each cashier worked at a store last week. in which interval is the median number of hours? choose 1 answer: a 0 to 10 b 10 to 20 c 20 to 30 d 30 to 40

Answer

Answer:

A. 0 to 10

Explanation:

Step1: Calculate total number of cashiers

$4 + 2+1 + 1+2=10$

Step2: Determine position of median

Since $n = 10$ (even), median is average of $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th ordered - data values. $\frac{n}{2}=5$ and $\frac{n}{2}+1 = 6$.

Step3: Cumulative - frequency analysis

The first bar (0 - 10 hours) has 4 cashiers. The cumulative - frequency up to the 0 - 10 interval is 4. The second bar (10 - 20 hours) has 2 cashiers, and the cumulative - frequency up to the 10 - 20 interval is $4 + 2=6$. The 5th and 6th ordered data values fall within the 0 - 10 interval. So the median is in the 0 to 10 interval.