Question

19,21,29,32,89
mean: ____
median: ____
mode: ____
range: ____

Explanation:

Step1: Identify the data set

The data set is \(19, 21, 29, 32, 89\).

Step2: Calculate the Mean

The mean is the sum of all values divided by the number of values.
Sum of values: \(19 + 21 + 29 + 32 + 89 = 190\)
Number of values: \(5\)
Mean: \(\frac{190}{5} = 38\)

Step3: Determine the Median

To find the median, arrange the data in ascending order (already in order) and find the middle value. Since there are \(5\) values (odd number), the median is the 3rd value.
Median: \(29\)

Step4: Find the Mode

The mode is the value that appears most frequently. In this data set, all values appear only once, so there is no mode (or we can say all values are modes, but typically we state no mode if all are unique).

Step5: Calculate the Range

The range is the difference between the maximum and minimum values.
Maximum value: \(89\)
Minimum value: \(19\)
Range: \(89 - 19 = 70\)

Answer:

Mean: \(38\)
Median: \(29\)
Mode: No mode (all values unique)
Range: \(70\)