The heights of 7 players in a group are 175 cm, 158 cm, 180 cm, 164 cm, 182 cm, 160 cm and 171 cm .
find their mean height

Answer

To find the mean height of the 7 players, we will follow these steps:

### Step 1: List the heights of the players
The heights of the players are:
- 175 cm
- 158 cm
- 180 cm
- 164 cm
- 182 cm
- 160 cm
- 171 cm

### Step 2: Sum the heights
We need to add all the heights together:
\[ 175 + 158 + 180 + 164 + 182 + 160 + 171 \]

Calculating step by step:
1. \(175 + 158 = 333\)
2. \(333 + 180 = 513\)
3. \(513 + 164 = 677\)
4. \(677 + 182 = 859\)
5. \(859 + 160 = 1019\)
6. \(1019 + 171 = 1190\)

So, the total sum of the heights is \(1190\) cm.

### Step 3: Count the number of players
We have a total of 7 players.

### Step 4: Calculate the mean
Now, we will use the formula for mean:
\[ \text{Mean} = \frac{\text{Sum of all observations}}{\text{Total number of observations}} \]
Substituting the values we have:
\[ \text{Mean} = \frac{1190}{7} \]

Now, we will perform the division:
1. \(7\) goes into \(11\) once (1), remainder \(4\).
2. Bring down \(9\) to make \(49\). \(7\) goes into \(49\) seven times (7), remainder \(0\).
3. Bring down \(0\) to make \(0\). \(7\) goes into \(0\) zero times (0).

Thus, \(1190 \div 7 = 170\).

### Final Answer
The mean height of the players is \(170\) cm.

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