Question
What the mean and Standard Deviation (SD) of the Close column in your data set? c)...
What the mean and Standard Deviation (SD) of the Close column in your data set?
c) If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed at less than the mean for that year? Hint: You do not want to calculate the mean to answer this one. The probability would be the same for any normal distribution. (5 points) 0.5
- If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed at more than $1150? (5 points).
- If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed within $50 of the mean for that year? (between 50 below and 50 above the mean) (5 points)
- If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed at less than $950 per share. Would this be considered unusal? Use the definition of unusual from the course textbook that is measured as a number of standard deviations (5 points)
- At what prices would Google have to close in order for it to be considered statistically unusual? You will have a low and high value. Use the definition of unusual from the course textbook that is measured as a number of standard deviations. (5 points)
- What are Quartile 1, Quartile 2, and Quartile 3 in this data set? Use Excel to find these values. This is the only question that you must answer without using anything about the normal distribution. (5 points)
- Is the normality assumption that was made at the beginning valid? Why or why not? Hint: Does this distribution have the properties of a normal distribution as described in the course textbook? Real data sets are never perfect, however, it should be close. One option would be to construct a histogram like you did in Project 1 to see if it has the right shape. Something in the range of 10 to 12 classes is a good number. (5 points)
| Close |
| 1044.68994 |
| 1077.15002 |
| 1080.96997 |
| 1089.90002 |
| 1098.26001 |
| 1070.52002 |
| 1075.56995 |
| 1073.90002 |
| 1090.98999 |
| 1070.07996 |
| 1060.62 |
| 1089.06006 |
| 1116.37 |
| 1110.75 |
| 1132.80005 |
| 1145.98999 |
| 1115.22998 |
| 1098.70996 |
| 1095.06006 |
| 1095.01001 |
| 1121.37 |
| 1120.16003 |
| 1121.67004 |
| 1113.65002 |
| 1118.56006 |
| 1113.80005 |
| 1096.96997 |
| 1110.37 |
| 1109.40002 |
| 1115.13001 |
| 1116.05005 |
| 1119.92004 |
| 1140.98999 |
| 1147.80005 |
| 1162.03003 |
| 1157.85999 |
| 1143.30005 |
| 1142.31995 |
| 1175.76001 |
| 1193.19995 |
| 1193.31995 |
| 1185.55005 |
| 1184.45996 |
| 1184.26001 |
| 1198.84998 |
| 1223.96997 |
| 1231.54004 |
| 1205.5 |
| 1193 |
| 1184.62 |
| 1173.02002 |
| 1168.48999 |
| 1173.31006 |
| 1194.43005 |
| 1200.48999 |
| 1205.92004 |
| 1215 |
| 1207.15002 |
| 1203.83997 |
| 1197.25 |
| 1202.16003 |
| 1204.62 |
| 1217.87 |
| 1221.09998 |
| 1227.13001 |
| 1236.33997 |
| 1236.37 |
| 1248.83997 |
| 1264.55005 |
| 1256 |
| 1263.44995 |
| 1272.18005 |
| 1287.57996 |
| 1188.47998 |
| 1168.07996 |
| 1162.60999 |
| 1185.40002 |
| 1189.39002 |
| 1174.09998 |
| 1166.27002 |
| 1162.38001 |
| 1164.27002 |
| 1132.03003 |
| 1120.43994 |
| 1164.20996 |
| 1178.97998 |
| 1162.30005 |
| 1138.84998 |
| 1149.63001 |
| 1151.42004 |
| 1140.77002 |
| 1133.46997 |
| 1134.15002 |
| 1116.45996 |
| 1117.94995 |
| 1103.63001 |
| 1036.22998 |
| 1053.05005 |
| 1042.21997 |
| 1044.33997 |
| 1066.04004 |
| 1080.38001 |
| 1078.71997 |
| 1077.03003 |
| 1088.77002 |
| 1085.34998 |
| 1092.5 |
| 1103.59998 |
| 1102.32996 |
| 1111.42004 |
| 1121.88001 |
| 1115.52002 |
| 1086.34998 |
| 1079.80005 |
| 1076.01001 |
| 1080.91003 |
| 1097.94995 |
| 1111.25 |
| 1121.57996 |
| 1131.58997 |
| 1116.34998 |
| 1124.82996 |
| 1140.47998 |
| 1144.20996 |
| 1144.90002 |
| 1150.33997 |
| 1153.57996 |
| 1146.34998 |
| 1146.32996 |
| 1130.09998 |
| 1138.06995 |
| 1146.20996 |
| 1137.81006 |
| 1132.12 |
| 1250.41003 |
| 1239.41003 |
| 1225.14002 |
| 1216.68005 |
| 1209.01001 |
| 1193.98999 |
| 1152.31995 |
| 1169.94995 |
| 1173.98999 |
| 1204.80005 |
| 1188.01001 |
| 1174.70996 |
| 1197.27002 |
| 1164.29004 |
| 1167.26001 |
| 1177.59998 |
| 1198.44995 |
| 1182.68994 |
| 1191.25 |
| 1189.53003 |
| 1151.29004 |
| 1168.89002 |
| 1167.83997 |
| 1171.02002 |
| 1192.84998 |
| 1188.09998 |
| 1168.39002 |
| 1181.41003 |
| 1211.38001 |
| 1204.93005 |
| 1204.41003 |
| 1206 |
| 1220.17004 |
| 1234.25 |
| 1239.56006 |
| 1231.30005 |
| 1229.15002 |
| 1232.41003 |
| 1238.70996 |
| 1229.93005 |
| 1234.03003 |
| 1218.76001 |
| 1246.52002 |
| 1241.39002 |
| 1225.08997 |
| 1219 |
| 1205.09998 |
| 1176.63001 |
| 1187.82996 |
| 1209 |
| 1207.68005 |
| 1189.13001 |
| 1202.31006 |
| 1208.67004 |
| 1215.44995 |
| 1217.14002 |
| 1243.01001 |
| 1243.64002 |
| 1253.06995 |
| 1245.48999 |
| 1246.15002 |
| 1242.80005 |
| 1259.13001 |
| 1260.98999 |
| 1265.13001 |
| 1290 |
| 1262.62 |
| 1261.29004 |
| 1260.10999 |
| 1273.73999 |
| 1291.37 |
| 1292.03003 |
| 1291.80005 |
| 1308.85999 |
| 1311.37 |
| 1299.18994 |
| 1298.80005 |
| 1298 |
| 1311.45996 |
| 1334.87 |
| 1320.69995 |
| 1315.45996 |
| 1303.05005 |
| 1301.34998 |
| 1295.33997 |
| 1306.68994 |
| 1313.55005 |
| 1312.98999 |
| 1304.95996 |
| 1289.92004 |
| 1295.28003 |
| 1320.54004 |
| 1328.13001 |
| 1340.62 |
| 1343.56006 |
| 1344.66003 |
| 1345.02002 |
| 1350.27002 |
| 1347.82996 |
| 1361.17004 |
| 1355.12 |
| 1352.62 |
| 1356.04004 |
| 1349.58997 |
| 1348.83997 |
| 1343.56006 |
| 1360.40002 |
| 1351.89002 |
| 1336.14002 |
| 1337.02002 |
| 1367.37 |
| 1360.66003 |
| 1394.20996 |
| 1393.33997 |
| 1404.31995 |
| 1419.82996 |
| 1429.72998 |
Homework Answers
Answer #1
Part 6: First quartile=1132.460025, 2nd Quartile=1189.39002, 3rd quartile=1247.679995.
Part 7:
From histogram, we see that the distribution of the data is rightly skewed and bell shaped. However it is closed to symmetric. So we can approximate it by normal distribution.
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