Question

1. What is the mean to the nearest tenth?

Answer 1

Solution: 1. The mean is given below:

$Mean=\frac{\sum fx}{\sum f}$

Where:

$f$ is the frequency

$x$ is the value

$\therefore Mean=\frac{1 \times 7 + 2 \times 1+ 3 \times 3 + 4 \times 2 + 5\times 2}{15}$

                       $=\frac{7+2+9+8+10}{15} =\frac{36}{15} =2.4$

Therefore, the mean = 2.4

2. The mean is given below:

$Mean = \frac{8+11+23+15}{4}$

                 $=\frac{57}{4}$

                 $=14.3$

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:

$\frac{3+7+5+6+2+x}{6} =5$

$23+x=30$

$x=30-23$

$x=7$

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