Question

learning target: i can organize raw data into a frequency table, display it in a graph, and describe how the spread (range, iqr, and extreme values) shows variability in the data.
name:
period:
raw data: 43, 68, 52, 44, 62, 50, 60, 38, 43, 42, 52, 76, 48, 68, 58, 59, 60, 48, 70, 75
what do you notice about this data?
what do you wonder?
what might be the easiest way to organize this data so its easier to see patterns?
math talk prompt: why is organizing data important before calculating mean, median, and iqr?
part 1 - organizing data:
task 1: arrange the data from least to greatest.
task 2: create a frequency table to show how many times each value (or interval) appears.
task 3: create a dot plot or box plot for the organized data.
discussion questions:

• what patterns do you see after organizing the data?
• where are most values located?
• are there any gaps or extreme values?

Explanation:

Step1: Analyze the data

The raw data is un - ordered. Organizing data helps in calculating statistical measures accurately. For example, to find the median, we need to order the data.

Step2: Frequency calculation

For the interval \(40 - 49\), the tally is \(4\) (so frequency \(4\)). For \(50 - 59\), tally is \(6\) (frequency \(6\)). For \(60 - 69\), tally is \(6\) (frequency \(6\)). For \(70 - 79\), tally is \(3\) (frequency \(3\)).

Answer:

Interval	Tally	Frequency
\(50 - 59\)	\(				\		\)	\(6\)
\(60 - 69\)	\(				\		\)	\(6\)
\(70 - 79\)	\(			\)	\(3\)