Here are the weights (in pounds) of a sample of 10 male eleventh graders.

Send data to calculator
Find the median weight of these students.

Ask by Haynes Gray. in the United States

Mar 25,2025

Question

Here are the weights (in pounds) of a sample of 10 male eleventh graders. $$ 146,168,168,142,159,174,170,164,154,160 $$ Send data to calculator Find the median weight of these students.

UpStudy AI · Accepted Answer

1. **Order the data in increasing order:**

The given weights are  
   $$
   146,\, 168,\, 168,\, 142,\, 159,\, 174,\, 170,\, 164,\, 154,\, 160
   $$

Ordered data:  
   $$
   142,\, 146,\, 154,\, 159,\, 160,\, 164,\, 168,\, 168,\, 170,\, 174
   $$

2. **Determine the median:**

Since there are $$10$$ data points (an even number), the median is the average of the $$5$$th and $$6$$th values.

The $$5$$th value is $$160$$ and the $$6$$th value is $$164$$.

Therefore, the median is  
   $$
   \frac{160+164}{2} = \frac{324}{2} = 162.
   $$

3. **Final answer:**

The median weight of these students is $$162$$ pounds.
The median weight is 162 pounds.

Here are the weights (in pounds) of a sample of 10 male eleventh graders.

Send data to calculator
Find the median weight of these students.

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Here are the weights (in pounds) of a sample of 10 male eleventh graders. Send data to calculator Find the median weight of these students.