Deck 7: Median

Question 1

Having been given information about the age of patients in a hospital you work out that the median data point is in the class 65 and under 70. This class has a frequency of 67, the cumulative frequency up to the previous class is 217, the total number of patients in the hospital is 464. Calculate the median for this data.

A) 67.5
B) 68.9
C) 65
D) 66.1

Answer 1

66.1

Question 2

Which of the following options best defines the median?

A) The sum of values divided by the number of data points
B) The most frequently occurring value in the data set
C) The middle value when all data points are arranged in order
D) The average of the highest and lowest data points

Answer 2

The middle value when all data points are arranged in order

Question 3

When trying to estimate the median value in a grouped frequency distribution which of the following statements IS true?

A) The formula technique is usually preferred
B) The graphical technique is usually preferred
C) Both techniques will result in the same estimation (neither is preferred)
D) The estimation of the median in this case should be avoided if possible

Answer 3

The graphical technique is usually preferred

Question 4

Which of the following methods is the correct way to work out the median for a simple frequency distribution?

A) Use the value of the class with the highest frequency
B) Use the value of the class which contains the middle data point
C) You have to calculate the mean and use this instead
D) It is not possible the calculate the median in these circumstances

Question 5

What method is used to calculate the median in a data set with an even number of values?

A) The mean of the middle two data points is used
B) The mean of the highest and lowest data points is used
C) The median is taken to be the same as the mean in this case
D) It is not possible to calculate the median in these circumstances

Question 6

Which of the following statements is a DISADVANTAGE of using the median?

A) It is less affected than the mean by extreme values in the data set
B) It is restricted to use in basic statistical analysis
C) It is useful when values at the end of the data set are hard/time-consuming/costly to generate
D) It can be used (carefully) with non-numeric data, as long as the data can be ordered

Question 7

The length of time that shoppers spend looking at the fruit and vegetables section in a supermarket is recorded (to the nearest minute). Calculate the median for the following data to 1 decimal place [length of time(frequency)]: 1(8); 2(12); 3(24); 4(28); 5(24); 6(5); 8(1); 10(1)

A) 3.8
B) 4.1
C) 4.3
D) 4.5

Question 8

Calculate the median for the following set of data: 3, 17, 6, 9, 4, 12

A) 6
B) 7.5
C) 8.5
D) 9

Question 9

When using the graphical technique to estimate the median value in a grouped frequency distribution which the cumulative frequency percentage is plotted against which value?

A) The lower bound of the class
B) The lower limit of the class
C) The upper bound of the class
D) The upper limit of the class

Question 10

Wim hires bicycles in Amsterdam. Last week he hired 48; 75; 16; 23; 92; 75; and 65 bicycles. What is the median value for this data?

A) 56.3
B) 75
C) 54
D) 65