# An instrument is used to measure a quantity at different time instances, and the expected values of the quantity are to be the same; however, the measured values are different. A set of 5 measurements that were recorded at different time instances are 98,101,99,100 and 102.

An instrument is used to measure a quantity at different time instances, and the expected values of the quantity are to be the same; however, the measured values are different. A set of 5 measurements that were recorded at different time instances are 98,101,99,100 and 102. Find the precision of the third measurement.

### Right Answer is:

0.99

#### SOLUTION

**Precision for particular reading** is given by,

**Precision = 1 − | Respective reading − mean value|/Mean value**

Mean value = (98 + 101 + 99 + 100 + 102)/5

Mean value = 100

Given third measurement reading = 99

The 3rd reading precision is given as

Precision = 1 − | 99 − 100|/100

**= 1 −1/100 = 0.99**