Question

The total sales (in 000 rupees) of a particular item in a shop on 10 consecutive days is
reported by a clerk as follows
35.00, 29.60, 38.00, 30.00, 40.00, 41.00, 42.00, 45.00, 3.60, 3.80
Later it was found that reports of the 4th and 8th days were 10.00 more than the true values
and that in the last two days the clerk put a decimal wrongly one place to the left.
Calculate the true mean value of sale?

Answer 1

Given : The total sales (in 000 rupees) of a particular item in a shop on 10 consecutive days is reported by a clerk as follows

35.00, 29.60, 38.00, 30.00, 40.00, 41.00, 42.00, 45.00, 3.60, 3.80

Later it was found that reports of the 4th and 8th days were 10.00 more than the true values

and that in the last two days the clerk put a decimal wrongly one place to the left.

To Find : Calculate the true mean value of sale

Solution:

S. No.  Noted         TRUE Values

1            35.00             35.00     No change

2           29.60            29.60     No change

3           38.00             38.00     No change

4           30.00             20.00   as noted was 10 more than true

5            40.00            40.00      No change  

6           41.00              41.00     No change

7           42.00              42.00     No change

8            45.00             35.00  as noted was 10 more than true

9           3.60              36.00  as put a decimal wrongly one place to the left.

10           3.80             38.00  as put a decimal wrongly one place to the left.

                                 354.6

true mean value of sale = 354.6/10  = 35.46  (in 000 rupees)

= 35460  Rs

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