EASY
AS and A Level
IMPORTANT
Earn 100

Sixteen bank accounts have been accidentally under-credited by the following amounts, denoted by $x.

917.95917.98918.03917.97918.01917.94918.05918.07918.02917.93918.01917.88918.10917.85918.11917.94

To calculate x¯ manually, Fidel and Ramon code these figures using x-917 and x-920, respectively.

Who has the simpler maths to do? Explain your answer.

Important Questions on Measures of Central Tendency

EASY
AS and A Level
IMPORTANT
Throughout her career, an athlete has been timed in 120 of her 400-metre races. Her times, denoted by t seconds, were recorded on indoor tracks 45 times and are summarised by Σt-60=83.7, and on outdoor tracks where Σt-65=-38.7 Calculate her average 400-metre running time and comment on the accuracy of your answer.
EASY
AS and A Level
IMPORTANT

All the interior angles of n triangular metal plates, denoted by y°, are measured. State the number of angles measured and write down the value of y¯.

EASY
AS and A Level
IMPORTANT

All the interior angles of n triangular metal plates, denoted by y°, are measured. Hence, or otherwise, find the value of Σy-30.

EASY
AS and A Level
IMPORTANT
A dataset of 20 values is denoted by x where Σx-1=58. Another dataset of 30 values is denoted by y where Σy-2=36. Find the mean of the 50 values of x and y.
EASY
AS and A Level
IMPORTANT

Students investigated the prices in dollars $ of 1 litre bottles of a certain drink at 24 shops in a town and at 16 shops in surrounding villages. Denoting the town prices by t and the village prices by v, the students' data are summarised by the totals Σt-1.1=1.44 and Σv-1.2=0.56.

Find the mean price of 1 litre of this drink at all the shops at which the students collected their data.

EASY
AS and A Level
IMPORTANT

The masses, x kg, of 12 objects are such that x¯=0.475. Find the value of Σ1000x and state what it represents.

carats, given that 1 carat is equivalent to 200 milligrams

EASY
AS and A Level
IMPORTANT

The total mass of gold extracted from a mine is denoted by Σx, which is measured in grams. Find an expression in x for the total mass in:

carats, given that 1 carat is equivalent to 200 milligrams

EASY
AS and A Level
IMPORTANT

The total mass of gold extracted from a mine is denoted by Σx, which is measured in grams. Find an expression in x for the total mass in:

kilograms.