Question

There is a group of students were given a spelling test. The table shows their marks. TABLE: Marks: 6,7,8,9,10 Frequency:5,4,7,10,4. What is the mean mark of the group?

Answer 1

MRK(×) (F) FX

6 5 30
7 4 28
8 7 56
9 10 90
10 4 40
total = 30 244
mean = fx/x
mean= 244/30
=8.13

Answer 2

Answer:

$\overline{x} = 8.13$

Step-by-step explanation:

There is a group of students were given a spelling test. The table shows their marks. TABLE: Marks: 6,7,8,9,10 Frequency:5,4,7,10,4.

To find the mean mark of the group, apply the formula stated below

$\overline{x} = \frac{ \Sigma \: xifi}{ \Sigma \: fi}$

So ,

$\overline{x} = \frac{6 \times 5 + 7 \times 4 + 8 \times 7 + 9 \times 10 + 10 \times 4}{5 + 4 + 7 + 10 + 4} \\ \\ = \frac{30 + 28 + 56 + 90 + 40}{30} \\ \\ = \frac{244}{30} \\ \\ \overline{x}= 8.13$

Hope it helps you.