# Math 241 – Homework #1

Instructions: Complete the following questions using Microsoft Excel. You can use Excel at home, work, or the computer labs at Grand View. Make sure you use Excel formulas in your workbook, otherwise I will not be able to follow your work. Email me with any questions.

Due Date: This homework must be emailed to the professor prior to 8p on March 22nd.

1. Copy and paste the data below into an Excel workbook. Descriptions of the variables can be found here. Name this sheet “Data”.

```Gender	FSIQ	VIQ	PIQ	Weight	Height	MRI_Count
Female	133	132	124	118	64.5	816932
Male	140	150	124	125	72.5	1001121
Male	139	123	150	143	73.3	1038437
Male	133	129	128	172	68.8	965353
Female	137	132	134	147	65.0	951545
Female	99	90	110	146	69.0	928799
Female	138	136	131	138	64.5	991305
Female	92	90	98	175	66.0	854258
Male	89	93	84	134	66.3	904858
Male	133	114	147	172	68.8	955466
Female	132	129	124	118	64.5	833868
Male	141	150	128	151	70.0	1079549
Male	135	129	124	155	69.0	924059
Female	140	120	147	155	70.5	856472
Female	96	100	90	146	66.0	878897
Female	83	71	96	135	68.0	865363
Female	132	132	120	127	68.5	852244
Male	100	96	102	178	73.5	945088
Female	101	112	84	136	66.3	808020
Male	80	77	86	180	70.0	889083
Male	83	83	86	183	73.0	892420
Male	97	107	84	186	76.5	905940
Female	135	129	134	122	62.0	790619
Male	139	145	128	132	68.0	955003
Female	91	86	102	114	63.0	831772
Male	141	145	131	171	72.0	935494
Female	85	90	84	140	68.0	798612
Male	103	96	110	187	77.0	1062462
Female	77	83	72	106	63.0	793549
Female	130	126	124	159	66.5	866662
Female	133	126	132	127	62.5	857782
Male	144	145	137	191	67.0	949589
Male	103	96	110	192	75.5	997925
Male	90	96	86	181	69.0	879987
Female	83	90	81	143	66.5	834344
Female	133	129	128	153	66.5	948066
Male	140	150	124	144	70.5	949395
Female	88	86	94	139	64.5	893983
Male	81	90	74	148	74.0	930016
Male	89	91	89	179	75.5	935863```

2. Show, using a PivotChart, the number of males and females in this data set. Display this in a seperate sheet, named “PivotChart”.

3. Create a scatterplot between VIQ and PIQ, set VIQ to the horizontal axis and PIQ on the vertical axis. Put this scatterplot in a new sheet titled “Scatterplot”

4. Create a histogram of weights, the bins should range from 100 to 200 in increments of 10. Place this histogram in a new sheet called “histogram”.

5. Calculate the mean, median, and mode brain size (MRI_Count). Calculate each using the built-in Excel functions. Perform these calculations in the “Data” sheet.

6. Calculate the standard deviation of brain size using the same method we learned in class. Assume this is data consists of the entire population. Perform this calculation in the “Data” sheet.

7. Copy and paste the data below into an Excel worksheet (same workbook as above) and title it “Age”.

```Age,Frequency
15,12
16,24
17,41
18,74
19,271
20,278
21,203
22,152
23,167
24,163
25,188
26,186
27,219
28,207
29,233
30,219
31,253
32,241
33,241
34,199
35,229
36,232
37,205
38,274
39,303
40,280
41,269
42,256
43,266
44,286
45,275
46,320
47,291
48,306
49,335
50,358
51,323
52,351
53,356
54,379
55,365
56,389
57,340
58,356
59,356
60,294
61,297
62,288
63,292
64,181
65,153
66,122
67,122
68,96
69,71
70,68
71,49
72,37
73,34
74,31
75,18
76,17
77,18
78,12
79,7
80,12
81,8
82,5
83,3
84,3
85,2
86,2```

8. Create a histogram for each age between 14 and 75. (e.g., there should be a bar for showing the frequency of each age). Place this graph in a sheet titled “Age-hist”

9. Calculate mean, median, mode, and standard deviation of age. (This is a tricky question, especially for mean and standard deviation. Refer back to the equations to derive a method to calculate this). Perform these calculations in the “Age” worksheet.

10. Delete any sheets not used in this homework. Please place the worksheets in this order: “Data”, “PivotChart”, “Scatterplot”, “histogram”, “Age”, “Age-hist”.