Samples & Populations 1.1 pt. 2 Learning Target: I will calculate measures of center & of variability through the mean, median, range, and MAD. Homework Inv. 1 Day 2: SP1.1 p. 7 – Using Spread and Center. CORRECT w/EDpuzzle video SP 1.1 part 2 Warm Up: Identify the mean, median and range: 4, 27, 4, 8, 17, 29, 30, 3, 27, 1, 15, 6, 9,10, 1, 5, 1, 28

4, 27, 4, 8, 17, 29, 30, 3, 27, 1, 15, 6, 9,10, 1, 5, 1, 28 Mean: Median: Range:

continued p. 2

Understanding Mean Absolute Deviation (MAD): What is MAD? It is the average distance between each data value and the mean. What does MAD do? A measure of by how much the values in the data set are likely to differ from their mean. What does a MAD distribution look like? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation Need a recap?

Measures of Variability: Range and Mean Absolute Deviation (MAD) p. 3 MAD: 5, 8, 10, 12, 7 How do you calculate the range? …mean absolute deviation (MAD)? Find the difference of each data value and the mean. Add all the absolute values of the differences you found together. Divide the sum by the number of data values. The final quotient is the MAD. Find the difference between the maximum and minimum values. Range = max – min Range: 5, 8, 10, 12, 7

2. Determine the MAD of Jun’s test scores (80, 60, 100). 80 – 80 + 60 – 80 + 100 – 80 0 + 20 + 20 = 40 = 13.33 3 4. Determine the MAD of Mia’s test scores (75, 80, 85). 75 – 80 + 80 – 80 + 85 – 80 5 + 0 + 5 = 10 = 3.33 3

Packet p. 5 SP 1.1, Part 2: Comparing Performances – Using Center and Spread C. Think about when you looked at Jun and Mia’s test scores from the first quarter (on pages 2 and 3) and analyzed the measures of center and variability. Do you have enough data to make any general statements about Jun’s or Mia’s overall math test performance? Explain.

  1. Find the median of Jun’s data.  2. Find the median of Mia’s data.

  3. Find the mean of Jun’s data.  4. Find the mean of Mia’s data.

5. Use each measure of center (median and mean) to compare Jun’s scores and Mia’s scores.

6. Find the range of Jun’s data.   7. Find the range of Mia’s data.

8. Find the MAD of Jun’s data.   9. Find the MAD of Mia’s data.

10. Use each measure of variability (range and MAD) to compare Jun’s scores and Mia’s scores.

Several possible answers/reasoning follow…

Samples & Populations 1.1 pt. 2 Did I reach my Learning Target? I will calculate measures of center and measures of variability through the mean, median, range, and MAD. Homework Inv. 1 Day 2: SP1.1 p. 7 – Using Spread and Center. CORRECT w/EDpuzzle video SP 1.1 part 2