Question

measures of center
find the mean, median, mode and range for each data set.

1. 2,9,7,5,2

mean
median
mode
range

1. 16,21,12,15,12,21

mean
median
mode
range

Explanation:

Step1: Calculate mean for 2, 9, 7, 5, 2

Mean is sum of data divided by number of data points. $\text{Mean}=\frac{2 + 9+7+5+2}{5}=\frac{25}{5}=5$

Step2: Find median for 2, 9, 7, 5, 2

Arrange data in ascending - order: 2, 2, 5, 7, 9. Median is middle - value, so median = 5.

Step3: Determine mode for 2, 9, 7, 5, 2

Mode is most frequent value. Mode = 2.

Step4: Calculate range for 2, 9, 7, 5, 2

Range is difference between largest and smallest values. Range = 9 - 2=7.

Step5: Calculate mean for 16, 21, 12, 15, 12, 21

$\text{Mean}=\frac{16 + 21+12+15+12+21}{6}=\frac{97}{6}\approx16.17$

Step6: Find median for 16, 21, 12, 15, 12, 21

Arrange data in ascending - order: 12, 12, 15, 16, 21, 21. Median is average of two middle - values. Median=$\frac{15 + 16}{2}=15.5$

Step7: Determine mode for 16, 21, 12, 15, 12, 21

Modes are 12 and 21 (both appear twice).

Step8: Calculate range for 16, 21, 12, 15, 12, 21

Range = 21 - 12 = 9.

Answer:

1. Mean: 5, Median: 5, Mode: 2, Range: 7
2. Mean: $\frac{97}{6}\approx16.17$, Median: 15.5, Mode: 12 and 21, Range: 9