5.The following data represent the number of hours students studied for am exam (2,3,4,4,4,5,6,7,10,).Find the mean,median and made which neasure best represent the data?
Answer (1)
Answer:To find the mean, median, and mode, we'll perform the following calculations:## Step 1: Calculate the MeanTo find the mean, we'll add up all the values and divide by the total number of values.Values: 2, 3, 4, 4, 4, 5, 6, 7, 10Sum: 2 + 3 + 4 + 4 + 4 + 5 + 6 + 7 + 10 = 45Total number of values: 9Mean: 45 / 9 = *5*## Step 2: Calculate the MedianTo find the median, we'll arrange the values in order and find the middle value.Values in order: 2, 3, 4, 4, 4, 5, 6, 7, 10Middle value (5th value): *4*## Step 3: Calculate the ModeThe mode is the value that appears most frequently.Value 4 appears 3 times, which is more than any other value.Mode: *4*## Which Measure Best Represents the Data?Given the data, the *median* or *mode* might be a better representation than the mean because the data set contains an outlier (10), which skews the mean. Both the median and mode are *4*, which seems to be a more typical value for this data set.The final answer for the mean is: *5*The final answer for the median is: *4*The final answer for the mode is: *4*
