Question

The arithmetic mean of 10 observations
is 12.45. If each reading is
increased by 5. Then resulting mean is
increased by..​

Answer 1

Step-by-step explanation:

Given :

• The arithmetic mean of 10 observations  is 12.45.

•  Each reading is increased by  5

To Find :  

• Then resulting mean is increased by.

Solution :

Concept :

Arithmetic Mean:

• It is defined as the summation of all the observation is the data which is divided by the number of observations in the data.

• The formula of to calculate arithmetic mean is sd/N where sd is the summation of all the observations in the data and N is the number of observations in the data.

_________________________

Sum of all observations = Mean × number of observations

Substitute all Values :

Sum of all observations = 12.45 ×  10

Sum of all observations = 124.5

• According to the Question :

Each reading is increased by  5.

10 × 5 = 50

New Sum = 124.5 + 50

New Sum = 174.5

New Mean = 174.5/10

New Mean = 17.45

Mean increased by 17.45 - 12.45

Mean increased by= 5

• Hence increased by 5

Answer 2

Answer:

0.5 is answer