Question

Mean, Median, and Mode. Compute the mean, median, and mode of the following data sets.Actual times (in seconds) recorded when statistics students participated in an experiment to test their ability to determine when 1 minute (60 seconds) had passed:53 52 75 62 68 58 49 49

Answer 1

Answers:

Mean = 58.25

Median = 55.5

Mode = 49

Step-by-step explanation:

The mean is calculated as the sum of all the values divided by the number of values in the data. In this case, the mean is equal to:

`\begin{gathered} \text{Mean}=(53+52+75+62+68+58+49+49)/(8) \\ \text{Mean}=(466)/(8) \\ \text{Mean}=58.25 \end{gathered}`

To calculate the median, we need to organize the data from least to greatest as:

49 49 52 53 58 62 68 75

1st 2nd 3rd 4th 5th 6th 7th 8th

Now, the position of the median can be calculated as:

Median = (n+1)/2 = (8+1)/2 = 4.5

Where n is the size of the data.

Since 4.5 is between the 4th and the 5th position, the median is calculated as the mean of the values of the 4th and 5th positions. So, the median is:

`\text{Median}=(53+58)/(2)=55.5`

Finally, the mode is the value that appears more times. In this case, 49 is the only value that appears twice, so 49 is the mode.