You have recently been appointed as a junior research analyst at a renowned corporation in Johannesburg. You collected data for a pilot study investigating the relationship between hours spent in a mall and the number of purchases made. This pilot study was conducted in a local shopping centre in the CBD. Your employee (senior research analyst) has asked you to provide him with the median of the time spent in a shopping mall and the mean for the number of purchases made. Table 1 ShopperTime spent in the mallNumber of purchases made16 hours2022 hours1434.5 hours1842 hours1451 hour062 hours1371.5 hours1586 hours1892.5 hours20103 hours14115 hours17_____ is the median of the time spent in the mall and ____ is the mean for the number of purchases made. Group of answer choices6; 172.77; 15.92; 142.5; 14.82
Question
You have recently been appointed as a junior research analyst at a renowned corporation in Johannesburg. You collected data for a pilot study investigating the relationship between hours spent in a mall and the number of purchases made. This pilot study was conducted in a local shopping centre in the CBD. Your employee (senior research analyst) has asked you to provide him with the median of the time spent in a shopping mall and the mean for the number of purchases made. Table 1 ShopperTime spent in the mallNumber of purchases made16 hours2022 hours1434.5 hours1842 hours1451 hour062 hours1371.5 hours1586 hours1892.5 hours20103 hours14115 hours17_____ is the median of the time spent in the mall and ____ is the mean for the number of purchases made. Group of answer choices6; 172.77; 15.92; 142.5; 14.82
Solution
To answer this question, we first need to understand what median and mean are.
The median is the middle value in a list of numbers. To find the median, we need to organize our data in ascending order and then find the number that falls exactly in the middle. If there is an even number of observations, the median will be the average of the two middle numbers.
The mean, on the other hand, is the average of a set of numbers. It is calculated by adding all numbers in the data set and then dividing by the number of values in the set.
Let's calculate the median of the time spent in the mall first:
First, we need to arrange the data in ascending order: 1, 1.5, 2, 2.5, 3, 4.5, 6, 6.
Since we have an even number of observations, we need to take the average of the two middle numbers. In this case, the two middle numbers are 2.5 and 3. So, the median is (2.5 + 3) / 2 = 2.75.
Now, let's calculate the mean for the number of purchases made:
We add all the numbers together: 20 + 14 + 18 + 14 + 0 + 13 + 15 + 18 + 20 + 14 + 17 = 163.
Then, we divide by the number of observations: 163 / 11 = 14.82.
So, the median of the time spent in the mall is 2.75 hours and the mean for the number of purchases made is 14.82.
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