If each number in a given data is reduced by 10%,
then the mean will be reduced by
Please answer in detail
Answers
Answer:
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Answer:
Selina solutions
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Biology
Mathematics
Physics
Chapters in CONCISE Mathematics - Middle School - 7
Exercises in Data Handling
Question 7
Q7) The mean of a certain number of observations is 32. Find the resulting mean, if each observation is,
(i) increased by 3
(ii) decreased by 7
(iii) multiplied by 2
(iv) divided by 0.5
(v) increased by 60%
(vi) decreased by 20%
Solution
Transcript
Solution:
(i) Increased by = 3
Observed mean = 32
If increased by 3, resulting mean = 32 + 3 = 35
(ii) Observed mean = 32
Decreased by = 7, resulting mean = 32 – 7 = 25
(iii) Observed mean = 32
Multiplied by = 2, resulting mean = 32\times2=6432×2=64
(iv) Observed mean = 32
Divided by = 0.5, resulting mean = \frac{32}{0.5}=64
0.5
32
=64
(v) Observed mean = 32
Increased by = 60%, resulting mean = 32+\left(\frac{60}{100}\right)32+(
100
60
)
=\frac{3200+60}{100}=\frac{3260}{100}=32.6=
100
3200+60
=
100
3260
=32.6
(vi) Observed mean = 32
Decreased by = 20%, resulting mean = 32-\frac{20}{100}32−
100
20
=\frac{3200-20}{100}=\frac{3180}{100}=31.8=
100
3200−20
=
100
3180
=31.8
Step-by-step explanation:
Correct option is
B
increases by 5