Variations in Species Purpose: 1. To observe and measure variations in species using lima bean length, grasshopper femur length, and human eye width as example 1 2. To construct line graphs representing all variations in bean length, femur length, and eye width. 3. To calculate and plot the following values for each graph a. Mean – the average number b. Median – the middle number (the value with the same # of items above and below it) c. Mode – the most frequent number Notes on Calculations: 1. Mean (average) – Multiply the frequency by length for each frequency; add these products together and divide by total number of specimens Example: mm 2 3 4 5 # 1 2 3 1 Mean = (2 × 1) + (3 × 2) + (4 × 3) + (5 × 1) = 25 25/7=3.6 2. Median – Divide the total number of items by 2, call this number “n”. Find which measurement (starting with least) contains the “n” term. This value is the median. 3. Mode – The value with the highest frequency Variations in Species I. Introduction The differences by which individuals within a species are identified are known as variations. It is possible to describe these differences in pictures, words or measurements. Probably the best description is made in term of measurements. In this investigation you are going to look for differences in a number of living things, to see if there is any pattern to these variations. You will also be asked to think about the survival advantages of some of the variations that you measure. Materials: Bean seeds, grasshoppers, millimeter rules, petri dishes, graph paper, string. II. Materials and Methods A. Variations in bean seed length. (Table 1) 1. Lay a lima bean seed on a millimeter ruler and measure the longest dimension of the seed, to the nearest whole millimeter. Repeat until you have measured 25 seeds. 2. Record all measurements in a table, showing the number of seeds with the same length. 3. Record your group data in the Class Data Table and in Section III. (RESULTS) B. Grasshopper Femur (Table 2) 1. Measure the length of the femur of the jumping leg of several grasshoppers. DO NOT REMOVE THE LEG. Figure 12-A-1 will help you locate the femur. 2. Record your measurements (mm) in individual data records. 3. Record your group data with Class Data Table for Section III. (RESULTS) C. Eye Width 1. Tie a knot about 5 centimeters from the end of a piece of string to mark a point of reference. While holding the string across the bridge of your partner’s nose, position the knot in the string at the exact outer corner of one eye. 2. Stretch the string tightly and mark with your thumbnail the point of the outer corner of the other eye. 3. Measure the distance between the knot and your thumbnail, to the nearest millimeter. This measurement represents the distance from the corner of one eye to the corner of the other eye. 4. Have your partner measure this distance on you. 5. Record these measurements in individual data records. 6. Record your group data with Class Data Table and Section III (RESULTS) Directions for Completing Lab Assignment 1. Prepare a graph of each Class Data Tables to show the distribution of variations. (3 separate graphs) 2. Plot the range of measurements on the horizontal axis of the graph and the number of individuals having this measurement on the vertical axis. (See Fig. 12-A-2) 3. Draw a smooth line (without angles) connecting or passing near the dots plotted on each graph. Each set of measurements must be on a separate graph. 4. Calculate and plot the following values for each graph: a. Mean – average number; the average length in each set of data. b. Median – the middle number; the number with the same # of items above and below it. c. Mode – the most common number. 5. Refer to lab notes for directions (examples) on how to calculate mean, median, and mode. 6. To plot mean, median, mode, draw a line from each on the graph line to that number on the horizontal axis. III. Results (3 graphs) 1. Prepare one graph for each Class Data Table 2. Table I – Variations in Bean Length Table II – Variations in Grasshopper Femur Length Table III – Variations in Human Eye Width 3. Write a title for each graph. Label each axis for each graph. 4. Write a summary and Conclusion for each graph. (Ex. 52% of beans measured 25 mm, 24% measured 23 mm, 24% measured 22 mm) ( A conclusion is one sentence with summarizes all the data) Class Data Tables (These are for your own records – do not turn in with data sheets.) Table 1 – Bean Length mm # Table 1 con’t mm # Total ____________ Total ____________ Table II – Femur Length mm # Table III – Eye Width mm # Table III cont’d mm # Total ____________ Data Sheet 1. In what ways are the 3 graphs alike? __________________________________________ How do they differ?_________________________________________________________ 2. The 2 large halves of the seed are modified leaves containing stored food which will be used by the young plant as it grows. Which of the seeds that you measured would have the most stored food? _________________________________________________________________ ______________________________________________________________________________ 3. How does the large seed size help the young plant to survive? _________________________ ______________________________________________________________________________ 4. Assuming that a grasshopper with a longer femur can jump farther, how might leg length be an adaptation ( + survival factor) in the life of a grasshopper? _________________________ _____________________________________________________________________________ Can you think of any disadvantages? ________________________________________________ 5. What kid of measurement other than length would give a better answer to question 2? ___________________________________________________________________________ IV. Summary and Conclusion 1. Write a brief summary of the Data from Class Tables I, II, III below each graph. (Write the conclusion in quantitative terms – for example, 52% of beans measured 25 mm, 24% measured 23 mm, 24% measured 22 mm. Try to account for at least 90% of all the data in your quantitative conclusion.) 2. Be sure to write a title for each graph 3. Staple graphs to data sheet questions a. Graph I – Bean Length b. Graph II – Grasshopper Femur Length c. Graph III – Human Eye Width