Question

The mean of 30 observations is 32. if one observation is induced the mean still remains 32 find the included obseravtion



mods please solve this que​

Answer 1

Step-by-step explanation:

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