Last month, 10 patients between the ages of 11 and 13 were seen in their pediatrician's clinic. their height were recorded as 50, 56, 59,51,53,51,50,52,54,and 51 inches. Determine mean, median and mode.

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I'll be glad to check your answers.

To find the mean, median, and mode of the patient's heights, follow these steps:

Mean:
1. Add up all the heights: 50 + 56 + 59 + 51 + 53 + 51 + 50 + 52 + 54 + 51 = 527.
2. Divide the sum by the total number of patients (10): 527 ÷ 10 = 52.7.
3. So, the mean height is 52.7 inches.

Median:
1. Arrange the heights from smallest to largest: 50, 50, 51, 51, 51, 52, 53, 54, 56, 59.
2. Find the middle value, which is the median.
- Since the total number of patients is even (10), there are two middle values: 51 and 52.
- To find the median, average these two values: (51 + 52) ÷ 2 = 51.5.
3. Therefore, the median height is 51.5 inches.

Mode:
1. The mode is the value that appears most frequently in the dataset.
2. In this case, the height 51 inches appears the most, occurring three times in the dataset.
3. Thus, the mode height is 51 inches.

So, the mean height is 52.7 inches, the median height is 51.5 inches, and the mode height is 51 inches.