The number of visitors to a museum and an art gallery each day during December are shown.
Museum*: 1108 1019 850 1243 1100 923 964 847 918 820 781 963 814 881 742 911 1101 952 864 943 1087 1132 906 1050 0 826 986 1040 1127 1084 981
Art gallery*: 1258 1107 1179 1302 1236 1386 1287 1313 1269 1332 1094 1153 1275 1168 1086 1276 1342 1153 1227 1305 1187 1249 1300 1156 1074 1168 1299 1257 1134 1259 1366
(1) For each data set, calculate the:
- mean
- standard deviation.
(2) Which place had the greater spread of visitor numbers?
(3) Identify the outlier in the *Museum* data.
(4) Give a reason why this outlier may have occurred.
(5) Do you think it is reasonable to remove the outlier when comparing the numbers of visitors to these places? Explain your answer.
(6) Recalculate the mean and standard deviation with the outlier removed.
(7) Discuss the effect of the outlier on the standard deviation.