Explanation

Identify the given values: The sum of observations is Sum=1500

. The number of observations is n=30 

Average = Sum of observations / Number of observations

= 1500 / 30

= 50

Explanation

The average is the sum divided by the number of quantities:

Average = Sum / n

115 = 1840 / n

To find 'n', multiply both sides by 'n' and then divide by 115:

n = 1840 / 115

n = 16

Explanation

 We are given:

• 6 kangaroos eat 6 bags in 6 days

We are asked:
How many kangaroos will eat 100 bags in 100 days?

Step 1: Understand the rate

From the first statement:

6 kangaroos eat 6 bags in 6 days.
So, 1 kangaroo eats 1 bag in 6 days.

Therefore, in 1 day, 1 kangaroo eats 1/6 of a bag.

So, in 100 days, 1 kangaroo eats:

Now, let N be the number of kangaroos needed to eat 100 bags in 100 days.

If each kangaroo eats $frac{100}{6}$/6bags in 100 days, then:

Explanation

To find the average, add up all the numbers and divide by the total count.

Step 1: Calculate the sum

Sum = 0 + 0 + 4 + 10 + 5 + 5

= 24

Step 2: Calculate the average

Average = Sum / Count

= 24 / 6

= 4

Explanation

Formula: Sum = Average × Number of quantities

Calculation: 215 × 40 = 8600

Explanation

 To find the price of 7 toys if 1 toy costs 31:

Total Price=31×7=217

Explanation

Total marks = 19 + 21 + 22 + 24 + 19 = 105

Average = 105 ÷ 5 = 21

Explanation

Distance = 3250 km

Time = 65 hours

Average speed of car = Distance / Time

= 3250 / 65

= 50 km/h

Given that the average speed of the bus is 3/5 of the car's speed:

Average speed of bus = (3/5) * 50

= 30 km/h

Explanation

To find the average speed for the entire journey, let's assume the total distance traveled is 3x (since he travels equal distances at each speed).

Let's denote the speeds as:

S1 = 40 km/h

S2 = 30 km/h

S3 = 15 km/h

Time taken for each segment:

T1 = x / 40

T2 = x / 30

T3 = x / 15

Total time = T1 + T2 + T3

= x / 40 + x / 30 + x / 15

To find the common denominator (120):

Total time = 3x / 120 + 4x / 120 + 8x / 120

= 15x / 120

Total distance = 3x

Average speed = Total distance / Total time

= 3x / (15x / 120)

= 3 * 120 / 15

= 24

Explanation

The average of the first n natural numbers is given by (n + 1) / 2.

For n = 97:

Average = (97 + 1) / 2

= 98 / 2

= 49