Skip to content
Philoid
Browse Saved
Back to chapter
Maths
15. Statistics
Home · Class 11 · Maths · Ref. Book · 15. Statistics
Prev
Next
Q37 of 46 Page 278

The following information relates to a sample of size 60: ∑x2=18000, ∑x = 960.

The variance is

Now we know standard deviation can be written as,



But given ∑x2=18000, ∑x = 960, N=60, substituting these corresponding values, we get






Now for variance we will square on both sides, we get


σ2=44


Hence the required variance is 44.

More from this chapter

All 46 →
35

Consider the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. If 1 is added to each number, the variance of the numbers so obtained is

36

Consider the first 10 positive integers. If we multiply each number by –1 and then add 1 to each number, the variance of the numbers so obtained is

38

Coefficient of variation of two distributions are 50 and 60, and their arithmetic means are 30 and 25 respectively. Difference of their standard deviation is

39

The standard deviation of some temperature data in °C is 5. If the data were converted into °F, the variance would be

Questions · 46
15. Statistics
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46
Back to chapter
ADVERTISEMENT
About Contact Privacy Terms
Philoid · 2026
  • Home
  • Search
  • Browse
  • Quiz
  • Saved