Average Test-1 (Calculating average of given set of data)

Answer: Option D

Explanation

Given average set of income of 8 people

= 152, 635, 121, 423, 632, 744, 365, 253,

We know the formula,

 $\mathrm{Average} \left(\mathrm{A}\right)=\frac{\mathrm{Sum} \mathrm{of} \mathrm{given} \mathrm{values} \left(\mathrm{S}\right)}{\mathrm{Total} \mathrm{number} \mathrm{of} \mathrm{values} \left(\mathrm{N}\right)}$

 Here,

 Sum of given averages(S)

=152+635+121+423+632+744+365+253

= 3325

Total number of values(N)= 8

Substituting these values we get (A),

 $= \frac{3325}{8}=415.6$

Hence, Option D is correct.

Answer: Option A

Explanation

Given first 5 prime numbers are =2, 3, 5, 7, 11

We know the formula,

 $\mathrm{Average} \left(\mathrm{A}\right)=\frac{\mathrm{Sum} \mathrm{of} \mathrm{given} \mathrm{values} \left(\mathrm{S}\right)}{\mathrm{Total} \mathrm{number} \mathrm{of} \mathrm{values} \left(\mathrm{N}\right)}$

 Here,

 Sum of given values (S)

=2+3+5+7+11

= 28

Total number of values (N)= 5

Substituting these values we get (A),

 $= \frac{28}{5}=5.6$

Hence, Option A is correct.

Answer: Option B

Explanation

Given set of scores= 125, 236, 334, 486, 564, 525, 625, 702

We know the formula,

 $\mathrm{Average} \left(\mathrm{A}\right)=\frac{\mathrm{Sum} \mathrm{of} \mathrm{given} \mathrm{values} \left(\mathrm{S}\right)}{\mathrm{Total} \mathrm{number} \mathrm{of} \mathrm{values} \left(\mathrm{N}\right)}$

 Here,

 Sum of given values(S)

=125+236+334+486+564+525+625+702

= 3597

Total number of values(N)= 8

Substituting these values we get (A),

 $= \frac{3597}{8}=449.625$

Hence, Option B is correct.

Answer: Option B

Explanation

Given average of all prime numbers 60 and 80 is= 61, 67, 71, 73, 79

We know the formula,

 $\mathrm{Average} \left(\mathrm{A}\right)=\frac{\mathrm{Sum} \mathrm{of} \mathrm{given} \mathrm{values} \left(\mathrm{S}\right)}{\mathrm{Total} \mathrm{number} \mathrm{of} \mathrm{values} \left(\mathrm{N}\right)}$

 Here,

 Sum of given values(S)

=61+67+71+73+79

= 351

Total number of values(N)= 5

Substituting these values we get (A),

 $= \frac{351}{5}=70.2$

Hence, Option B is correct.

Answer: Option D

Explanation

Given set of scores= 556, 224, 778, 442, 336, 112

We know the formula,

 $\mathrm{Average} \left(\mathrm{A}\right)=\frac{\mathrm{Sum} \mathrm{of} \mathrm{given} \mathrm{values} \left(\mathrm{S}\right)}{\mathrm{Total} \mathrm{number} \mathrm{of} \mathrm{values} \left(\mathrm{N}\right)}$

 Here,

 Sum of given values (S)

=556+224+778+442+336+112

= 2448

Total number of values (N)= 6

Substituting these values we get (A),

 $= \frac{2448}{6}=408$

Hence, Option D is correct.