Find the measures of central tendency for the data set 3, 7, 9, 4, 5, 4, 6, 7, and 9.

**Choices:**

A. Mean = 6, median = 6 and modes are 4, 7 and 9

B. Mean = 6, median = 6 and mode is 4

C. Mean = 6, median = 6 and modes are 4 and 9

D. Mean = 6, median = 9 and modes are 4, 7 and 9

**Correct Answer: A**

** Solution:**

**Step 1:** Mean, median and mode of a data set are the measures of central tendency.

**Step 2:** Mean of the data set = [Formula.]

**Step 3:** [Substitute the values.]

**Step 4: ** [Add the data values in the numerator and divide.]

**Step 5:** The data set in the ascending order is 3, 4, 4, 5, 6, 7, 7, 9, and 9. So, Median of the set is 6. [Median is the middle data value of the ordered set.]

**Step 6:** Mode is/are the data value(s) that appear most often in the data set. So, the modes of the data set are 4, 7 and 9.

**Step 7:** So, the measures of central tendency of the given set of data are mean = 6, median = 6 and modes are 4, 7, and 9.