Question

1. What is the mean to the nearest tenth?

Value 1 2 3 4 5
Frequency 7 1 3 2 2

2, 2.4, 3 or 7.2

2. Marcus bought 4 pumpkins. They weigh 8lbs, 11lbs, 23lb, and 15lbs. What is the mean to the nearest tenth? I said 14.3 but my teacher said no.

3. Leah predicts that an average of 5 passengers will board the bus at each of the 6 stops along her route. The number of passengers that board at the first five stops are 3, 7, 5, 6 and 2.

How many passengers need to board the bus at the sixth stop for her prediction to be true? Round to the nearest tenth if needed.

3.8, 4.6, 5, or 7

Answer 1

Question 1 is 2.4

Question 2 is 14.3

Question 3 is 7

Answer 2

Solution: 1. The mean is given below:

`Mean=(\sum fx)/(\sum f)`

Where:

`f` is the frequency

`x` is the value

`\therefore Mean=(1 * 7 + 2 * 1+ 3 * 3 + 4 * 2 + 5* 2)/(15)`

`=(7+2+9+8+10)/(15) =(36)/(15) =2.4`

Therefore, the mean = 2.4

2. The mean is given below:

`Mean = (8+11+23+15)/(4)`

`=(57)/(4)`

`=14.3`

I am not understanding why your teacher 14.3 is wrong. Please check whether the weight of 4 pumpkins is correct or not.

3. We are given that on average 5 passengers will board the bus at each of the 6 stops.

Let x be the number of passengers board the bus at the sixth stop.

Therefore, the average is:

`(3+7+5+6+2+x)/(6) =5`

`23+x=30`

`x=30-23`

`x=7`

Therefore, 7 passengers need to board the bus at the sixth stop for Leah's prediction to be true.