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IMPORTANT
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A company employs 12 drivers Their mean monthly salary is $1950. A new driver is employed and the mean monthly salary falls by $8. Find the monthly salary of the new driver.

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Important Questions on Measures of Central Tendency

EASY
AS and A Level
IMPORTANT
The mean age of the 16 members of a karate club is 26 years and 3 months. One member leaves the club and the mean age of those remaining is 26 years. Find the age of the member who left the club. Give a reason why your answer might not be very accurate.
EASY
AS and A Level
IMPORTANT

The following table shows the hourly rates of pay, in dollars, of a company's employees.

Hourly rate$ 6 7 8 109
No. employees f 8 11 17 1

Is the mean a good average to use here? Give a reason for your answer.

EASY
AS and A Level
IMPORTANT

The following table shows the hourly rates of pay, in dollars, of a company's employees.

Hourly rate$ 6 7 8 109
No. employees f 8 11 17 1

Find the mean rate of pay for the majority of the employees.

EASY
AS and A Level
IMPORTANT

A train makes a non-stop journey from one city to another and back again each day. Over a period of 30 days, the mean number of passengers per journey is exactly 61.5. Exact one-way ticket prices paid by these passengers are given by percentage in the following table.

Price $ 34 38 45
Passengers % 30 41 29

Calculate the total revenue from ticket sales, and explain why your answer is an approximation.

EASY
AS and A Level
IMPORTANT

A train makes a non-stop journey from one city to another and back again each day. Over a period of 30 days, the mean number of passengers per journey is exactly 61.5. Exact one-way ticket prices paid by these passengers are given by percentage in the following table.

Price $ 34 38 45
Passengers % 30 41 29

The minimum and maximum possible revenues differ by $k. Find the value of k.

EASY
AS and A Level
IMPORTANT

The heights, in centimetres, of 54 children are represented in the following diagram.

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The children are split into two equal-sized groups: a 'tall half' and a 'short half'.

Calculate an estimate of the difference between the mean heights of these two groups of children.

EASY
AS and A Level
IMPORTANT

The following table summarises the number of tomatoes produced by the plants in the plots on a farm.

No. tomatoes 20-29 30-49 50-79 80-100
No. plots f 329 413 704 258

Calculate an estimate of the mean number of tomatoes produced by these plots.

EASY
AS and A Level
IMPORTANT

The following table summarises the number of tomatoes produced by the plants in the plots on a farm.

No. tomatoes 20-29 30-49 50-79 80-100
No. plots f 329 413 704 258

The tomatoes are weighed accurately and their mean mass is found to be 156.50 grams. At market they are sold for $3.20 per kilogram and the total revenue is $50350. Find the actual mean number of tomatoes produced per plot.