SAT mean median from a list questions

Definition of mean.

The mean is the sum of all values divided by the number of values.

Definition of median.

The median is the middle value when data points are arranged in order.

Calculate the mean of: 3, 5, 7, 9.

Mean = (3 + 5 + 7 + 9) / 4 = 6.

Calculate the median of: 1, 2, 3, 4, 5.

Median is 3, the middle number of the ordered list.

True or false: Mean is affected by outliers.

True, because extreme values can skew the mean significantly.

True or false: Median is affected by outliers.

False, because the median remains the same regardless of extreme values.

Difference between mean and median.

Mean is the average, while median is the middle value.

What is the median of: 2, 8, 3, 5?

First arrange: 2, 3, 5, 8. Median = (3 + 5) / 2 = 4.

Mean of: 10, 20, 30, 40.

Mean = (10 + 20 + 30 + 40) / 4 = 25.

Calculate median of: 7, 3, 9, 2.

Ordered: 2, 3, 7, 9. Median = (3 + 7) / 2 = 5.

What happens to mean if you add an outlier?

The mean increases or decreases significantly, depending on the outlier's value.

Calculate mean of: 5, 15, 25.

Mean = (5 + 15 + 25) / 3 = 15.

What is the median of: 6, 1, 4, 3?

Ordered: 1, 3, 4, 6. Median = (3 + 4) / 2 = 3.5.

Fill in the blank: Median is for _____ data.

Ordinal or continuous data.

Which is more reliable with outliers: mean or median?

Median, because it is unaffected by extreme values.

Mean of a dataset is 50. What is the sum if there are 10 values?

Sum = Mean × Number of values = 50 × 10 = 500.

Which measure is best for skewed distributions?

Median, as it provides a better central value in skewed data.

Calculate mean of: 1, 2, 3, 4, 100.

Mean = (1 + 2 + 3 + 4 + 100) / 5 = 22.

Median of: 10, 50, 100.

Ordered: 10, 50, 100. Median = 50.

What do mean and median indicate?

They indicate central tendency in a dataset.