The modal mark is the mark which appeared the most. Observe the leaf in each of the stems to determine which number appeared the most.

5 appeared 3 times in the stem 4 more than the rest. The mark is obtained by joining the leaf to the stem.

The modal mark = Stem 4 and leaf 5 hence 45

The leaf represents each mark. Hence count how many leaves to determine the number of students who took the test.

Total number of students who took the test = 5 + 3 + 4 + 4 + 3 + 2
Total number of students who took the test = 21

The median is the middle number. The median mark is the middle mark. Locate the middle leaf and join its stem with the leaf to obtain the median mark.

The middle leaf is 5 (the 11th position) at stem 4, hence the median mark is 45

Write the numbers in ascending order from the stem and leaf by joining the stem and each of the leaves. Thus 4|0 = 40, 4|5 = 45, 4|7 = 47, 4|9 = 49, 5|1 = 51, 5|3 = 53 etc.

40,45,47,47,51,53,54,55,57,58,60,62,63,64,64,64,64,65,66,68,71,72,73,74,75,78,78,79,82,83,85,86,89,94,95

Now count the numbers. You can as well count the leaves to know how many items are in the plot

When you count, you will get 35

Write the numbers in ascending order from the stem and leaf by joining the stem and each of the leaves. Thus 4|0 = 40, 4|5 = 45, 4|7 = 47, 4|9 = 49, 5|1 = 51, 5|3 = 53 etc.

40,45,47,47,51,53,54,55,57,58,60,62,63,64,64,64,64,65,66,68,71,72,73,74,75,78,78,79,82,83,85,86,89,94,95

The median is the middle number of a set of data.

From the data, 65 is the middle weight

Write the numbers in ascending order from the stem and leaf by joining the stem and each of the leaves. Thus 4|0 = 40, 4|5 = 45, 4|7 = 47, 4|9 = 49, 5|1 = 51, 5|3 = 53 etc.

40,45,47,47,51,53,54,55,57,58,60,62,63,64,64,64,64,65,66,68,71,72,73,74,75,78,78,79,82,83,85,86,89,94,95

The mode/modal is the number that occurs the most in a set of data.

From the weights, 64 occurs the most

Median is the middle number or the average of the middle numbers when two numbers happen to be in the middle of an ordered numbers.

12 and x happens to be in the middle and so the median is the average (the sum of the numbers divided by 2) of 12 and x

The median is therefore calculated as:

Now calculate for the value of x

Every number is being divided by 1

We can therefore write the above equation as:

You can cross multiply to solve for the value of x

1 x (12+x) = 14 x 2

12 + x = 28

x = 28 - 12

x = 16

Sum of observations (numbers) = 5+6+7+x

Total number of observations (numbers) = how many numbers are in the observation. In this case 4, thus (5,6,7 and x)

Every number is divisible by 1

Re-write the equation

Simplify like terms and cross multiply to solve for the value of x

1 x (18+x) = 4 x 8

1 times any number is the same number, hence 1 x (18+x) = 18+x

4 x 8 = 32

18+x = 32

x = 32 - 18

x = 14