12.03 Grouped data

Complete the frequency table below based on the following data set:

36,\, 50,\, 66,\, 46,\, 78,\, 63,\, 58,\, 39,\, 84,\, 40,\, 81,\, 45,\, 86,\\ 51,\, 68,\, 43,\, 64,\, 67,\, 37,\, 68,\, 48,\, 65,\, 60,\, 82,\, 75

Complete the frequency table below based on the following data set:

25,\, 49,\, 27,\, 34,\, 28,\, 46,\, 21,\, 47,\, 36,\, 43,\, 41,\, 37,\, 37,\\ 23,\, 36,\, 37,\, 43,\, 48,\, 36,\, 40,\, 34,\, 39,\, 29,\, 46,\, 30

Complete the following frequency table:

Consider the following frequency table:

State the modal class of the following data set:

Estimate the mean for the following data set, correct to one decimal place:

For the following surveys, state whether the data found should be grouped or ungrouped when constructing a frequency table:

Find the class centre of the following class intervals:

If one of the class intervals for height is 10 < \text{height} \leq 19, find the next equal-width class interval.

If the range of a set of continuous data is 28, find the size of each class interval if we group the data into:

Construct a grouped frequency table for the following data:

Consider the following set of scores:

30,\enspace 67,\enspace 24,\enspace 51,\enspace 49,\enspace 53,\enspace 36,\enspace 24,\enspace 57,\enspace 66,\enspace 26

Consider the following set of scores:

12,\enspace 59,\enspace 61,\enspace 27,\enspace 58,\enspace 18,\enspace 76,\enspace 27,\enspace 52,\enspace 19,\enspace 13,\enspace 56,\enspace 71,\enspace 31,\enspace 73,\enspace \\ 60,\enspace 41,\enspace 17,\enspace 22,\enspace 68,\enspace 57,\enspace 15,\enspace 40,\enspace 19,\enspace 76,\enspace 44,\enspace 60,\enspace 55,\enspace 36

Construct a frequency table for the following column graphs:

a

b

Consider the following frequency histogram:

\text{Class interval}	\text{Class} \\ \text{centre}	\text{Frequency}
21.5 \leq p < 24.5	23
24.5 \leq p < 27.5	26
27.5 \leq p < 30.5	29
30.5 \leq p < 33.5	32
33.5 \leq p < 36.5	35
36.5 \leq p < 39.5	38
39.5 \leq p < 42.5	41

Consider the following frequency histogram:

Class limits	Midpoint	Frequency
21.5 - 24.5	23
24.5 - 27.5	26
27.5 - 30.5	29
30.5 - 33.5	32
33.5 - 36.5	35
36.5 - 39.5	38
39.5 - 42.5	41

A survey was conducted which asked 30 people how many books they had read in the past month. Based on the frequency table provided, state whether the following statements are correct:

The following frequency table below shows the resting heart rate of some people taking part in a study:

In product testing, the number of faults detected in producing a certain machinery is recorded each day for several days. The frequency table shows the results:

The following frequency table shows the average time spent travelling to work for 50 people:

Infant mortality rate is measured as the number of child deaths per 1000 births. The infant mortality rate was measured in a number of countries and the results presented as a frequency histogram:

a

State the following class intervals:

i

First interval

ii

Second interval

iii

Third interval

iv

Fourth interval

b

How many of the countries recorded an infant mortality rate below 5?

As part of a fuel watch initiative, the price of petrol, p, at a service station was recorded each day for 21 days. The frequency table shows the findings:

The given histogram shows the number of hours that students in a particular class had slept for the night before:

The histogram below shows the heights of 60 tomato plants growing in a greenhouse:

The histogram below shows the speed of balls delivered by cricket bowlers:

A battery manufacturer tests their batteries in a portable music player, to find out how long the batteries last under constant use. The histogram below shows the data from their tests:

The following frequency table shows the data distribution for the length of leaves (in millimetres) collected from a species of tree in the botanical gardens: