Question

period ____ date ____ frequency table fill in the table below based on the following data: 1, 5, 10, 1, 5, 10, 1, 15, 20, 15, 20, 12, 19 bike race times time frequency 1 - 4 5 - 8 9 - 12 13 - 16 17 - 20 histogram use the frequency table above to create a histogram below. remember to label everything for full credit.

Explanation:

Part 1: Filling the Frequency Table

Step1: List the data

The data is: \(1, 5, 10, 1, 5, 10, 1, 15, 20, 15, 20, 12, 19\)

Step2: Count for 1 - 4

Numbers in \(1 - 4\): \(1, 1, 1\) → Frequency = \(3\)

Step3: Count for 5 - 8

Numbers in \(5 - 8\): \(5, 5\) → Frequency = \(2\)

Step4: Count for 9 - 12

Numbers in \(9 - 12\): \(10, 10, 12\) → Frequency = \(3\)

Step5: Count for 13 - 16

Numbers in \(13 - 16\): \(15, 15\) → Frequency = \(2\)

Step6: Count for 17 - 20

Numbers in \(17 - 20\): \(20, 20, 19\) → Frequency = \(3\)

Filled Frequency Table:

Bike Race Times	Frequency
5 - 8	2
9 - 12	3
13 - 16	2
17 - 20	3

Part 2: Creating the Histogram

To create the histogram:

• X - axis (Horizontal): Label it "Bike Race Times (in appropriate units, e.g., minutes)" and mark the intervals: \(1 - 4\), \(5 - 8\), \(9 - 12\), \(13 - 16\), \(17 - 20\).
• Y - axis (Vertical): Label it "Frequency" and mark the frequency values (e.g., 0, 1, 2, 3, 4).
• For each interval, draw a bar whose height corresponds to the frequency of that interval:
• For \(1 - 4\): Bar height = 3
• For \(5 - 8\): Bar height = 2
• For \(9 - 12\): Bar height = 3
• For \(13 - 16\): Bar height = 2
• For \(17 - 20\): Bar height = 3

(Note: Since this is a text - based response, we can't draw the actual histogram, but the above instructions describe how to create it.)

Answer:

Step1: List the data

The data is: \(1, 5, 10, 1, 5, 10, 1, 15, 20, 15, 20, 12, 19\)

Step2: Count for 1 - 4

Numbers in \(1 - 4\): \(1, 1, 1\) → Frequency = \(3\)

Step3: Count for 5 - 8

Numbers in \(5 - 8\): \(5, 5\) → Frequency = \(2\)

Step4: Count for 9 - 12

Numbers in \(9 - 12\): \(10, 10, 12\) → Frequency = \(3\)

Step5: Count for 13 - 16

Numbers in \(13 - 16\): \(15, 15\) → Frequency = \(2\)

Step6: Count for 17 - 20

Numbers in \(17 - 20\): \(20, 20, 19\) → Frequency = \(3\)

Filled Frequency Table:

Bike Race Times	Frequency
5 - 8	2
9 - 12	3
13 - 16	2
17 - 20	3

Part 2: Creating the Histogram

To create the histogram:

• X - axis (Horizontal): Label it "Bike Race Times (in appropriate units, e.g., minutes)" and mark the intervals: \(1 - 4\), \(5 - 8\), \(9 - 12\), \(13 - 16\), \(17 - 20\).
• Y - axis (Vertical): Label it "Frequency" and mark the frequency values (e.g., 0, 1, 2, 3, 4).
• For each interval, draw a bar whose height corresponds to the frequency of that interval:
• For \(1 - 4\): Bar height = 3
• For \(5 - 8\): Bar height = 2
• For \(9 - 12\): Bar height = 3
• For \(13 - 16\): Bar height = 2
• For \(17 - 20\): Bar height = 3

(Note: Since this is a text - based response, we can't draw the actual histogram, but the above instructions describe how to create it.)