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Mode of 12,14,11,16,15,14,11,13,14 is...

Mode of 12,14,11,16,15,14,11,13,14 is

A

14

B

11

C

15

D

12

Text Solution

AI Generated Solution

The correct Answer is:
To find the mode of the given data set: 12, 14, 11, 16, 15, 14, 11, 13, 14, we will follow these steps: ### Step 1: Arrange the data in ascending order. We start by sorting the numbers from the smallest to the largest. **Ascending Order:** 11, 11, 12, 13, 14, 14, 14, 15, 16 ### Step 2: Count the frequency of each number. Next, we will count how many times each number appears in the sorted list. - 11 appears **2 times** - 12 appears **1 time** - 13 appears **1 time** - 14 appears **3 times** - 15 appears **1 time** - 16 appears **1 time** ### Step 3: Identify the number with the highest frequency. Now, we need to determine which number has the highest frequency. From our counts: - 11: 2 times - 12: 1 time - 13: 1 time - 14: 3 times (highest frequency) - 15: 1 time - 16: 1 time ### Step 4: State the mode. The mode is the number that appears most frequently in the data set. **Mode: 14** ### Final Answer: The mode of the collection is **14**. ---
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