The heights of students are given in cm as 161, 190, 185, 163, 172, 180, 162. The median height of the student is:

Options

A. 131
B. 180
C. 170
D. 172

Answer

To find the median height of the students given the heights in centimeters as 161, 190, 185, 163, 172, 180, and 162, we will follow these steps:

### Step 1: List the Heights
The heights of the students are:
- 161
- 190
- 185
- 163
- 172
- 180
- 162

### Step 2: Arrange the Heights in Ascending Order
We need to arrange these heights from the smallest to the largest:
- 161, 162, 163, 172, 180, 185, 190

### Step 3: Count the Number of Heights
Now, we count how many heights we have:
- There are 7 heights in total.

### Step 4: Determine if the Number of Heights is Odd or Even
Since 7 is an odd number, we can find the median by locating the middle value.

### Step 5: Find the Median
To find the median in a list with an odd number of values, we take the middle value. The middle position can be found using the formula:
- Position of median = (n + 1) / 2, where n is the number of values.
- Here, n = 7, so the position of the median = (7 + 1) / 2 = 4.

Now, we look for the 4th value in our ordered list:
- 1st: 161
- 2nd: 162
- 3rd: 163
- 4th: 172

Thus, the median height is **172 cm**.

### Final Answer
The median height of the students is **172 cm**.

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