Question

the number of bears killed in 2010 for 52 counties in pennsylvania is shown in the frequency distribution.
class limits frequency
1 – 25 18
26 – 50 12
51 – 75 7
76 – 100 6
101 – 125 2
126 – 150 3
151 – 175 0
176 – 200 2
201 – 225 0
226 – 250 2
total 52
send data to excel
part: 0 / 2
part 1 of 2
use the histogram tool to draw a histogram for the data.
bear kills

Explanation:

Step1: Identify class midpoints (optional for histogram, but useful)

For class \(1 - 25\), midpoint \(=\frac{1 + 25}{2}=13\)
For class \(26 - 50\), midpoint \(=\frac{26 + 50}{2}=38\)
For class \(51 - 75\), midpoint \(=\frac{51 + 75}{2}=63\)
For class \(76 - 100\), midpoint \(=\frac{76 + 100}{2}=88\)
For class \(101 - 125\), midpoint \(=\frac{101 + 125}{2}=113\)
For class \(126 - 150\), midpoint \(=\frac{126 + 150}{2}=138\)
For class \(151 - 175\), midpoint \(=\frac{151 + 175}{2}=163\)
For class \(176 - 200\), midpoint \(=\frac{176 + 200}{2}=188\)
For class \(201 - 225\), midpoint \(=\frac{201 + 225}{2}=213\)
For class \(226 - 250\), midpoint \(=\frac{226 + 250}{2}=238\)

Step2: Set up histogram axes

• X - axis: Represent class limits (or midpoints) with equal width intervals (each class has width \(25\) here: \(25 - 1+1 = 25\), \(50 - 26 + 1=25\), etc.).
• Y - axis: Represent frequency (ranging from \(0\) to \(18\) as maximum frequency is \(18\)).

Step3: Draw bars

• For class \(1 - 25\), draw a bar with height \(18\) (frequency).
• For class \(26 - 50\), draw a bar with height \(12\).
• For class \(51 - 75\), draw a bar with height \(7\).
• For class \(76 - 100\), draw a bar with height \(6\).
• For class \(101 - 125\), draw a bar with height \(2\).
• For class \(126 - 150\), draw a bar with height \(3\).
• For class \(151 - 175\), draw a bar with height \(0\) (no bar or a line at \(y = 0\)).
• For class \(176 - 200\), draw a bar with height \(2\).
• For class \(201 - 225\), draw a bar with height \(0\).
• For class \(226 - 250\), draw a bar with height \(2\).

Answer:

To draw the histogram:

1. X - axis: Label intervals as \(1 - 25\), \(26 - 50\), \(51 - 75\), \(76 - 100\), \(101 - 125\), \(126 - 150\), \(151 - 175\), \(176 - 200\), \(201 - 225\), \(226 - 250\) (each with width \(25\)).
2. Y - axis: Label frequency (scale from \(0\) to \(20\) to cover max frequency \(18\)).
3. Bars: Draw vertical bars for each class with height equal to its frequency (e.g., \(1 - 25\) bar height \(18\), \(26 - 50\) height \(12\), etc.).

(Note: Since this is a text - based explanation, the actual histogram would be a graphical representation with these bar heights over the respective class intervals.)