If the height in centimeters of five students are 176,112,160,158 and 158,find the median and mode height for this group of five students.

Arrange the numbers in order from least to greatest.

112, 158, 158, 160, 176

The middle number is the median.

The number that appears more than others is the mode.

To find the median and mode of the height for this group of five students, you can follow these steps:

Step 1: Arrange the heights in ascending order: 112, 158, 158, 160, 176.

Step 2: Find the Median:
The median is the middle value when the heights are arranged in ascending order. In this case, there are two middle values since the number of students is even. So, to find the median, you need to find the average of the two middle heights.

Median = (158 + 158) / 2 = 316 / 2 = 158

Therefore, the median height is 158 centimeters.

Step 3: Find the Mode:
The mode is the value that appears most frequently in the list of heights. In this case, the height 158 appears twice, while the other heights appear only once.

Therefore, the mode height is 158 centimeters.

So, the median height is 158 centimeters, and the mode height is also 158 centimeters.