The average of 10 observation is 30. The average of 1st six observatio

1.	The average of 10 observation is 30. The average of 1st six observation is 40 and the average of last five observation is 20. Find the 6th observation1. 402. 383. 204. 15
Answer» Correct Answer - Option 1 : 40 Given: Total observation = 10 Average of 10 observation = 30 Average of 1^st six observation = 40 Average of last five observation = 20 Formula used: Average = Total sum/Total number Total sum = Average × Total number Calculation: The average of 10 observation = 30 30 = (Total sum of 10 observation)/10 Total sum of 10 observation = 30 × 10 = 300 Total sum of 1^st six observation = 40 × 6 = 240 Total sum of last five observation = 20 × 5 = 100 6^th observation is common in both 1^st and last 6^th observation = (Total sum of 1^st six observation + Total sum of last five observation) - Total sum of 10 observation ⇒ 6^th observation = (240 + 100) – 300 ⇒ 340 – 300 ⇒ 40 ∴ 6^th observation is 40.

The average of 10 observation is 30. The average of 1st six observation is 40 and the average of last five observation is 20. Find the 6th observation1. 402. 383. 204. 15

Answer» Correct Answer - Option 1 : 40

Given:

Total observation = 10

Average of 10 observation = 30

Average of 1^st six observation = 40

Average of last five observation = 20

Formula used:

Average = Total sum/Total number

Total sum = Average × Total number

Calculation:

The average of 10 observation = 30

30 = (Total sum of 10 observation)/10

Total sum of 10 observation = 30 × 10 = 300

Total sum of 1^st six observation = 40 × 6 = 240

Total sum of last five observation = 20 × 5 = 100

6^th observation is common in both 1^st and last

6^th observation = (Total sum of 1^st six observation + Total sum of last five observation) - Total sum of 10 observation

⇒ 6^th observation = (240 + 100) – 300

⇒ 340 – 300

⇒ 40

∴ 6^th observation is 40.

Discussion

No Comment Found

Related InterviewSolutions

Out of 10 boys, 4 boys of 1 m 40 cm height, 3 are of 1 m 62 cm height and rest are of 1 m 73 cm height. What is the average height of all boys. 1. 156 cm2. 158 cm3. 156.5 cm 4. 155.5 cm
A man’s average monthly savings is Rs 750 during May, Rs 824 during June and Rs 775 during July. Find the average monthly savings for the three months? 1. 7882. 7903. 7834. 780
The average monthly income of a family of four earning members was Rs.15,130. One of the daughters in the family got married and left home, so the average monthly income of the family came down to Rs.14,660. What is the monthly income of the married daughter?(a) Rs.15,350 (b) Rs.12,000 (c) Rs.16,540 (d) Cannot be determined (e) None of these
There are 7 members in a family which includes two grandparents, two parents, and three siblings. Father’s age is 45 years and Mother’s age is 42. Average age of two siblings is 15 whereas the third sibling’s age is 4 years more than the average age of the three siblings. If the average age of family is 40 years then find average age of grandparents.1. 63 years2. 67 years3. 71 years4. 75 years
Age of Raman is 40% more than his wife, find out the average of Raman and his wife, if age of his wife is 50 years.1. 502. 603. 704. 80
Five girls have an average height of 1 m 67 cm. Two girls of height 1 m 56 cm and 1 m 69 cm leaves the group. Find the new average height of girls. 1. 150 cm2. 160 cm3. 170cm4. 98 cm
Find the average of 125, 200, 325, 625, 225 and 120?1. 2592. 2703. 2904. 258
In a group of 71 people, the difference between the age of the eldest and the youngest person is 35 years. when the average age was taken without considering the eldest person the average was reduced by 3% but when the average was taken without considering the youngest person the average was increased by 2%. Find the original average age of all the people. 1. 12 years2. 11 years3. 14 years4. 10 years
The average age of 6 brothers is 15 years. The age of the youngest brother is 5 years. What was the average age (in years) of the group of brothers at the time of birth of the youngest brother?1. 142. 153. 12.54. 12
The income of Anil in the month of January, February and March is Rs. 15,000, Rs. 25,000 and Rs. 20,000. The average expenses of these month is Rs. 4000. Find the average saving of these months.1. 160002. 360003. 450004. 12000