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ICSE Class 10 Answered

The mean of 90 items was found to be 45. Later on, it was discovered that two items were misread as 26 and 19 instead of 62 and 09 respectively. The correct mean is (approximately) (1) 49.0 (2) 45.0 (3) 45.3 (4) 49.3
Asked by rsrakesh932 | 12 Oct, 2019, 10:07: PM
answered-by-expert Expert Answer
The mean of 90 items was found to be 45.
n = 90 and 
begin mathsize 16px style Incorrect space mean space equals top enclose straight x space equals 45 rightwards double arrow fraction numerator begin display style stack sum straight x with straight i below end style over denominator 90 end fraction equals 45 stack sum straight x with straight i below equals 4050 space which space is space incorrect end style
 
Later on, it was discovered that two items were misread
as 26 and 19 instead of 62 and 09 respectively.
 
Hence, correct begin mathsize 16px style sum for straight i of straight x equals 4050 minus 26 minus 19 plus 62 plus 9 equals 4076 end style
Correct mean = 4076/90 = 45.28 ≈ 45.3
Answered by Sneha shidid | 14 Oct, 2019, 10:04: AM

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