Q.Based on a sample of size 20, the meanvalue is 31.5. If two more obs

1.	Q.Based on a sample of size 20, the meanvalue is 31.5. If two more observations,35 and 39, are added to the sample, thenthe new mean is(1) 35.167(2) 32(3) 35.2(4) 29.5
Answer» Answer: The new mean of SAMPLE of 20 observations that has a mean of 31.5 and two observations 35 and 39 are added, is 32 Explanation: Mean,also known as average, is the total sum or value of elements in a data set DIVIDED by the NUMBER of the elements the data set. Mean = total sum of elements / total number of elements ∴ Total sum of elements = total number of elements × Mean In this case we have a mean of 31.5 with a total number of 20 observations. ∴ Total sum of the elements = 31.5 × 20 = 630 We can now CALCULATE the new mean by factoring the newly added observations; 35 and 39 The total of 35 and 39 = 74 The new total sum of all the observation therefore = 630 + 74 = 704 The new total number of elements = 20 + 2 ( 35 and 39 have been added) = 22 New mean = new total sum of elements / new number of elements = 704/ 22 = 32 Therefore the new mean = 32

Q.Based on a sample of size 20, the meanvalue is 31.5. If two more observations,35 and 39, are added to the sample, thenthe new mean is(1) 35.167(2) 32(3) 35.2(4) 29.5

Answer»

Answer:

The new mean of SAMPLE of 20 observations that has a mean of 31.5 and two observations 35 and 39 are added, is 32

Explanation:

Mean,also known as average, is the total sum or value of elements in a data set DIVIDED by the NUMBER of the elements the data set.

Mean = total sum of elements / total number of elements

∴ Total sum of elements = total number of elements × Mean

In this case we have a mean of 31.5 with a total number of 20 observations.

∴ Total sum of the elements = 31.5 × 20

= 630

We can now CALCULATE the new mean by factoring the newly added observations; 35 and 39

The total of 35 and 39 = 74

The new total sum of all the observation therefore = 630 + 74 = 704

The new total number of elements = 20 + 2 ( 35 and 39 have been added)

= 22

New mean = new total sum of elements / new number of elements

= 704/ 22

= 32

Therefore the new mean = 32