7.08 Histograms
Consider the following histogram:
Which number occured most frequently?
How many scores of 1 were there?
How many more scores of 1 were there than scores of 4?
Use the data from the histogram to complete the following frequency table:
| Score | Frequency |
|---|---|
| 21 | |
| 23 | |
| 25 | |
| 27 | |
| 29 | |
| 31 |
Construct a histogram to represent the following data set:
3, \, 3, \, 4, \, 4, \, 4, \, 4, \, 5, \, 5, \, 5, \, 6, \, 6, \, 6, \, 6, \, 6, \, 7, \, 7, \, 8, \, 8, \, 8
Construct a histogram to represent the following data set:
46,\, 47,\, 48,\, 48,\, 48,\, 47,\, 50,\, 47,\, 48,\, 50,\, 47,\, 46,\, 49,\, 49,\, 50,\, 49,\, \\ 48,\, 47,\, 46,\, 50,\, 48,\, 51,\, 51,\, 50,\, 50,\, 47,\, 49,\, 48,\, 51,\, 49,\, 50,\, 51Some people were asked approximately how many of their high school friends they remained in contact with after high school.
The results are presented in the given frequency distribution table:
Construct a histogram for the data.
What was the most common response?
| Score | Frequency |
|---|---|
| 0 | 7 |
| 10 | 10 |
| 20 | 7 |
| 30 | 1 |
| 40 | 2 |
The amount of snowfall (in centimeters) is recorded at the base of the mountain each day for 20 days. The snowfall recorded to the nearest centimeter, is as follows:
6,\, 2,\, 0,\, 3,\, 2,\, 2,\, 3,\, 4,\, 2,\, 0,\, 3,\, 2,\, 3,\, 4,\, 6,\, 4,\, 3,\, 0,\, 5,\, 3
To create a frequency histogram of the data, what values go on the horizontal axis?
Construct a frequency histogram of the data.
On how many days did 3 centimeters of snow fall?
On how many days did at least 4 centimeters of snow fall?
The Cancer Council surveyed some random people, asking them to estimate (to the nearest10 hours) approximately how much time they spent in the sun during the previous summer. The frequency histogram shows the results:
How many people were surveyed?
What proportion of responders spent at least 60 hours in the sun?
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:
4 equal-width class intervals.
7 equal-width class intervals.
For the following surveys, state whether the data found should be grouped or ungrouped when constructing a frequency table:
A survey conducted of 1000 people, asking them how many languages they speak.
A survey conducted of 1000 people, asking them how many different countries they know the names of.
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
Determine a set of five class intervals that could be used to analyse this data.
Construct a grouped frequency table for the data.
Complete the frequency table for the data set in the histogram:
| Score | Frequency |
|---|---|
| 22.5 \leq \text{Score} \ <23.5 | |
| 23.5 \leq \text{Score} \ <24.5 | |
| 24.5 \leq \text{Score} \ <25.5 | |
| 25.5 \leq \text{Score} \ <26.5 | |
| 26.5 \leq \text{Score} \ <27.5 | |
| 27.5 \leq \text{Score} \ <28.5 |
The Cancer Council conducted a study to determine how long people spend in the sun in a month. They asked 120 participants to wear a detector at all times.
Their results are summarized in the given histogram:
| Hours in Sun | Frequency |
|---|---|
| 0 \leq \text{Hours} \ <10 | |
| 10 \leq \text{Hours} \ <20 | |
| 20 \leq \text{Hours} \ <30 | |
| 30 \leq \text{Hours} \ <40 | |
| 40 \leq \text{Hours} \ <50 | |
| 50 \leq \text{Hours} \ <60 | |
| 60 \leq \text{Hours} \ <70 | |
| 70 \leq \text{Hours} \ <80 | |
| 80 \leq \text{Hours} \ <90 |
Complete the frequency table based on the histogram.
How many participants spent less than 30 hours in the sun? .
What fraction of participants spent at least 60 hours in the sun? .
A government agency records how long people wait on hold to speak to their representatives. The results are displayed in the given histogram:
| Time on hold in minutes | Frequency |
|---|---|
| 0 \leq \text{Time} \ <1.5 | |
| 1.5 \leq \text{Time} \ <2.5 | |
| 2.5 \leq \text{Time} \ <3.5 | |
| 3.5 \leq \text{Time} \ <4.5 | |
| 4.5 \leq \text{Time} \ <5.5 |
Complete the frequency table based on the data from the histogram.
How many phone calls were made?
How many people were on hold for at least 2.5 minutes?
How many people were on hold for less than 3.5 minutes?