Deck 6: Arithmetic Mean

Question 1

A carpet company in Egypt checks orders from the weekend. There were 6 sales (Egyptian Pounds): £8,500; £12,500; £11,000; £24,000; £14,500; and £7,500. Calculate the arithmetic mean of these sales.

A) £11,000
B) £12,000
C) £13,000
D) £14,000

Answer 1

£13,000

Question 2

The mean number of visitors to a local tourist attraction in the last week was 625 per day. You have the figures for 6 out of 7 days, but the last figure has gone missing. The figures you have are: 800; 950; 425; 570; 725; and 600. Calculate the value of the missing figure.

A) 285
B) 305
C) 325
D) 345

Answer 2

305

Question 3

Having collected data on the average order value from 100 customers, which type of statistical measure gives a value which might be used to characterise average value for the whole group?

A) Measure of location
B) Measure of reliability
C) Measure of dispersion
D) Measure of skewness

Answer 3

Measure of location

Question 4

The total weight of bags placed on an aircraft is 2730kg. You know that the average weight of each bag is 13.0kg. Assuming every passenger has a bag, how many passengers are there on the plane?

A) 200
B) 210
C) 220
D) 230

Question 5

Which of the following statements about the mean is NOT true?

A) The mean is generally accepted as being representative of the data
B) The mean is a mathematical average calculated from the data
C) The mean always takes the same value as one of the original data points
D) The mean may not be suitable for data sets that include extremely high or low values

Question 6

Over the course of an evening, a restaurant collects information about how many diners sit at each table. The data is as follows [number of diners(frequency)]: 1(4); 2(46); 3(16); 4(24); 5(6); 8(1). Calculate the mean number of diners per table.

A) 2.7
B) 2.8
C) 2.9
D) 3.0

Question 7

A vending machine operator knows that her 6 vending machines in a Kuwaiti shopping centre produce an average daily revenue of KWD 125 (Kuwaiti Dinar). She adds a 7th machine that generates an average revenue of KWD 140 (the remaining machines continue to produce the amounts). What is the new average for all her machines?

A) KWD 126.9
B) KWD 127.0
C) KWD 127.1
D) KWD 127.2

Question 8

Which of the following statements about the mean IS true?

A) If you have open-ended classes in a grouped frequency distribution is is necessary to determine a nominal limit to the class
B) When reporting the value of the mean, is it usual to present the value with the same number of decimal places as the original data
C) The sum of deviations from the mean is always the same as the number of data points (frequency)
D) The mean is the least used of all the ways of presenting measures of location

Question 9

When you produce a grouped frequency distribution you lose individual values for x. What method should be used to estimate values of x for each class?

A) You should use the lower limit
B) You should use the upper limit
C) You should use the class width
D) You should use the class midpoint

Question 10

A pharmaceutical company has sales agents in 4 European countries. Individual average sales figures are [average(number of sales)]: €24,348(23); €17,639(17); €22,902(16); €13,650(21). Calculate the weighted mean for these sales figures.

A) €19648.7
B) €19384.8
C) €19508.4
D) €19709.9