Summary Statistics

Find the Q3 for the following data:
42, 58, 67, 55, 40, 69, 66, 51, 46, 48, 68 

• 40

• 46

• 69

• 67

Daisy analyses a set of data and produces the five number summary below.

                         9, 12, 21, 29, 31.

Which of the following is a correct statement about the data set?

• range = 22

  interquartile range = 17

• mean = 9

  range = 31

• median = 21

  interquartile range = 19.5

• mode = 29

  median = 9

The mean, median and mode of a set of data, respectively, are:

• The average, middle number, most common number.  

• Most common number, average, middle number.

• Lowest number, middle number, highest number.

• The average, most common number, middle number.

Which is correct for the set of data below, correct to the nearest whole number?

• The mean is 14 and the mode is 15.

• The mean is 15 and the mode is 14.

• The mean is 14 and the mode is 14.

• The mean is 15 and the mode is 15.

The stem and leaf plot shows the number of shots needed to complete 25 games of pool on two tables.

Which is true?

 

• Both Tables have skewed data and have the same interquartile range.

• Table A has skewed data and has the same interquartile range as Table B.

• Table B has skewed data and has the same interquartile range as Table A.

• Table B has skewed data and has a greater interquartile range than Table A.

Anna conducts a survey on the number of “friends” that people have on a social media site.

There were 160 people who took part in the survey.

The box-and-whisker plot below illustrates the results of the survey.

How many people had more than 40 “friends”?

 

• 40

• 75

• 95

• 120

A batter in a cricket team scores the following in one season:

 

                        {0, 0, 5, 21, 23, 24, 34, 36, 47, 49, 49}

The standard deviation of these scores is: (correct to one decimal place)

• 18.7

• 18.6

• 17.9

• 17.8

The box and whisker plot shows the results of a test out of fifty. What information cannot be found from the plot?

• The median mark.

• The interquartile range of the marks.

• The range of the marks.

• The mean mark.

The marks from 10 people on a test are given below.

 

13, 16, 30, 21, 24, 18, 17, 23, 30 and 28

Which is correct?

• The mean and median are both 22 and the mode is 30.

• The mean is 22, the median is 23 and the mode is 30. 

• The mean is 22, the median is 30 and the mode is 21.

• The mean and the mode are both 22 and the median is 30.

There are 48 people at a party. The ages of a sample of 8 people are listed below.

 

15, 15, 16, 13, 14, 12, 17, 16

The standard deviation, correct to three significant figures, is :

• 48

• 56

• 2.44

• 1.67