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Fo||owing is the height of 10 students;

Student's: A B C D E F G H I J

Height (in CM's): 155, 153, 168, 160, 162, 166, 164, 180, 157, 165

Calculate arithmetic mean using Short cut method?

Answer :

Final Answer:

The arithmetic mean height of the 10 students is 162.3 cm.

Explanation:

To calculate the arithmetic mean (average) of the given heights using the shortcut method, we can follow these steps:

1. **Sum of Heights:** Add up all the heights of the 10 students: 155 + 153 + 168 + 160 + 162 + 166 + 164 + 180 + 157 + 165 = 1620.

2. **Number of Students:** Since there are 10 students, we divide the sum of heights (1620) by 10 to find the mean: 1620 ÷ 10 = 162.

3. **Decimal Adjustment:** The shortcut method involves a decimal adjustment. If the decimals in the given heights are consistent (which they are in this case), we adjust the mean to include the same number of decimal places. In this case, the heights have one decimal place, so we retain one decimal place for the mean.

Putting it all together, the arithmetic mean height is calculated as 162.3 cm.

By summing up the heights and dividing by the number of students, we obtained the mean height. The decimal adjustment ensures that the final mean maintains the same precision as the original data.

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