Q.2.104 - Elementary Statistics

Question

Hospital Beds. The number of hospital beds available in community hospitals is decreasing. Through advancements in care and technology, hospitals are getting more efficient. However, the aging and increasingly obese and diabetic population intensify the need. The American Hospital Association Annual Survey, published by the American Hospital Association (AHA), gave the number of hospital beds available per $1000$ people for each of the $50$ states plus the District of Columbia for $2010$. Following is a stem-and-leaf diagram of the data. The stems represent units and the leaves tenths (e.g., the first entry is $1.7$).

How many states (including the District of Columbia) had

a. at least three but less than four hospital beds per $1000$ people available?

b. at least four and a half hospital beds per $1000$ people available?

Step-by-Step Solution

Answer

a). The number of states is $15$.

b).  The number of states is $5$.

Part (a) Step 1: Given Information

The data is given as,

Part (a) Step 2: Explanation

The number of states with at least three but less than four hospital bed per $1000$ people is the sum of number of values in lines starting with $3$ so,

$11+4=15$.

Part (b) Step 1: Given Information

The data is given as,

Part (b) Step 2: Explanation

The number of states with at least four and a half hospital bed per $1000$ people is the sum of number of values in lines starting with 4 and $5$ so,

$2+0+2+1=5$.