## Frequency Tables and Histograms Exercise

1. The results from a survey of a class of 30 on the number of hamburgers eaten in a week are shown below:

1, 3, 4, 5, 2, 0, 1, 4, 2, 1, 3, 4, 5, 2, 1, 3, 4, 5, 1, 2, 0, 1, 2, 4, 3, 3, 2, 1, 0, 2, 1, 1, 1, 4, 3, 0, 5, 3, 2, 0

a. Make a frequency table to show this information
b. Show this data on a fully labelled bar graph.
c. What is the most common number of hamburgers eaten by the class?

 2 Use the histogram showing the age of workers in a company to answer the following questions: a. How many workers were between 35 and 45 years old? b. How many workers were there at the company altogether? c. In which age group were there the fewest workers? d. How many workers were less than 35 years old? e. How many workers were more than 45 years old? f. Estimate from the graph the average age of the workers

3. The heights of 20 basketball players in centimetres are shown below:

195, 204, 198, 208, 214, 217, 214, 220, 198, 190, 192, 203, 208, 210, 193, 209, 207, 209, 202, 200

a. Make a frequency table, using intervals of 190-194, 195-199, etc.
b. Show this data on a fully labelled histogram.
c. What is the most common height interval of the heights of the players?

4. New Zealand has two main islands. The North Island and the South Island. The lengths of New Zealand's principal rivers are given in the table below.

 North Island rivers Length (km) South Island rivers Length (km) Waihou 175 Wairau 169 Rangitaiki 193 Clarence 209 Mohaka 172 Waiau-uha 169 Ngaruroro 154 Waimakariri 161 Manawatu 182 Waitaki 209 Whangaehu 161 Taieri 288 Wanganui 290 Clutha 322 Mokau 158 Mataura 240 Waikato 425 Waiau 217

a. Use the table above to make a frequency table for all of the rivers listed above, with intervals of 150-200, 200-250 etc.
b. Use the frequency table to draw a fully labelled histogram.

Use the graph to answer the following questions.

c. Which is the most common interval?
d. How many rivers are longer than 200 km?
e. How many rivers are shorter than 250 km?