Below are starting admission price (in RM) for one-day tickets to 10 theme parks around the Klang Valley:
58 63 41 42 29 50 62 43 40 40
a. Compute the mean, median and mode.
b. Based on the results of (a), what conclusion can you reach concerning the distribution of the starting admission price for one-day tickets?
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a. To compute the mean, median, and mode, we can use the following formulas:
Mean: The sum of all values divided by the total number of values.
Median: The middle value when the data is arranged in ascending or descending order.
Mode: The value that appears most frequently.
In this case, the data is already given in ascending order:
29, 40, 40, 41, 42, 43, 50, 58, 62, 63
Mean: (29 + 40 + 40 + 41 + 42 + 43 + 50 + 58 + 62 + 63) / 10 = 448 / 10 = 44.8
Median: The middle value is the 5th value in the ordered list, which is 42.
Mode: There are two modes in this data set, which are 40 and 42, as they both appear twice and the other values only appear once.
b. Based on the results of (a), we can conclude that the distribution of the starting admission prices for one-day tickets is relatively symmetric and clustered around the mean of 44.8. The mode being close to the mean suggests a normal distribution.
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