Please me with the below problem

Explain the data set you chose and why you chose it. Calculate the mean and median of the data set by hand.

Response 1: Give the TI commands to find the mean, median, and standard deviation and compare to the original post when done by hand.

Response 2: Find the 5-number summary using the TI and give your commands. Explain why we use the TI calculator for most of our work rather than formulas by hand.

The data set is a collection of butter clams' width (W) and length (L) measurements from Alki Beach in Puget Sound. The measurements are given in centimeters.

To calculate the mean of the widths, we add up all the widths and divide by the number of measurements.

(1.3 + 1.4 + 1.4 + 1.5 + 1.9 + 2.1 + 2.1 +21 + 2.2 + 2.2 + 2.3 + 2.4 + 2.4 + 2.5 + 2.5 +

2.6 +2.6+ 2.6 + 2.7 + 2.8 + 2.8 + 2.9 + 2.9 + 2.9 +29 + 3.0+ 3.0 + 3.0+ 3.1 3.4 +

3.4 3.5 3.6 + 3.6 + 3.6 + 3.6 + 3.7 3.9 + 3.9 +4.1 + 4.1 + 4.1 + 4.2 + 4.2 + 4.2 +

4.2 + 4.3 + 4.7 + 4.8 + 4.8 + 4.8 + 4. 9 + 5.0 + 5.0 + 5.1 + 5.2 + 5.2 + 5.4 + 5.6 + 5.6 +

5.8+ 5.8 +5.8)/67 = 3.2

The mean width is 3.2 cm.

To calculate the median, we need to arrange the data set in numerical order and find the middle value. Since there are 67 measurements, the median will be the 34th value in the ordered list.

The median width is 3.0 cm.

Similarly, to calculate the mean of the length, we add up all the lengths and divide by the number of measurements.

(1.7+ 1.9 +1.8 + 1.9 + 2.3 + 3.5+ 2.8 + 2.7 + 3.C + 2.7 + 3.0 + 3.2 + 2.9 + 3.5+ 3.3 + 3.5+ 3.4 +

3.4 + 3.2 + 3.8+ 3.5+ 3.8 + 3.9 + 3.8 +3.7+ 3.8 + 4.0 + 3.7 + 4.1 + 4.4 + 4.3 + 4.5 + 4.6 + 4.8 +

4.9 +4.5 +4.9 + 5.4 + 5.2 + 5.3 + 5.4 + 5.2 + 5.4 + 5.5 + 5.6 + 5.2 + 5.6 + 6.1 + 6.6 + 6.1 + 6.0 +

6.1 +6.6 +6.2 + 6.6 + 6.4 + 6.8+ 6.3+ 7.0 + 7.9 + 7.4 + 7.4 + 6.9 + 7.9 + 7.7 + 7.8 + 7.3 +8.5+

7.5 +7.6 +9.3)/67 = 4.2

The mean length is 4.2 cm.

To find the median of the length, we again arrange the data set in numerical order and find the middle value since there are 67.