Averages From Frequency Tables PDF

## Averages from frequency tables ### Exercise 1. The table shows how a group of pupils travel to school. Which of the following is the mode? | Transport | Frequency | Car | Walk | Bus | Cycle | |---|---|---|---|---|---| | | | 9 | 9 | 11 | 3 | | | | a) 9 | b) 11 | c) Bus...

## Averages from frequency tables ### Exercise 1. The table shows how a group of pupils travel to school. Which of the following is the mode? | Transport | Frequency | Car | Walk | Bus | Cycle | |---|---|---|---|---|---| | | | 9 | 9 | 11 | 3 | | | | a) 9 | b) 11 | c) Bus | d) Car and Walk | 2. Select the correct value for the mode, mean and range of each data set: a) The number of pets owned by a group of people. | Pets | Frequency | Mode: | 1 | 2 | 4 | 8 | |---|---|---|---|---|---| | 0 | 6 | Mean: | 1.15 | 3.5 | 4.25 | 5 | | 1 | 8 | Range: | 3 | 4 | 5 | 8 | | 2 | 3 | | | | | | | 3 | 3 | | | | | | b) The number of books read by some children in a month. | Books | Frequency | Mode: | 2 | 3 | 5 | 5 and 6 | |---|---|---|---|---|---| | 2 | 7 | Mean: | 1.6 | 2 | 3.77 | 6.2 | | 3 | 8 | Range: | 3 | 4 | 6 | 8 | | 4 | 6 | | | | | | | 5 | 5 | | | | | | | 6 | 5 | | | | | | c) The number of points scored by players of a game. | Points | Frequency | Mode: | 3 | 6 | 7 | no mode | |---|---|---|---|---|---| | 6 | 3 | Mean: | 2 | 4.4 | 7.7 | 15.4 | | 7 | 3 | Range: | 3 | 4 | 6 | 10 | | 8 | 1 | | | | | | | 9 | 0 | | | | | | | 10 | 3 | | | | | | d) The number of pupils in classes at a school. | Pupils | Frequency | Mode: | 9 | 12 | 31 | no mode | |---|---|---|---|---|---| | 30 | 9 | Mean: | 12 | 20.5 | 30 | 31 | | 31 | 12 | Range: | 2 | 3 | 20 | 22 | | 32 | 9 | | | | | | 3. The table shows the ages of some children attending an after-school club. | Age | Frequency | | | | |---|---|---|---|---| | 5 | 9 | a) Graham says that there are 4 children in total. Graham is wrong. How many children are there? | | | | 6 | 11 | b) Work out the mean age of a child at the club. | | | | 7 | 10 | c) State the modal age of a child at the club. | | | | 8 | 10 | | | | 4. The table shows the number of goals scored by a football team in some matches. | Goals | Frequency | | | | | | |---|---|---|---|---|---|---| | 0 | 6 | a) How many matches were played by the team? | | | | | | 1 | 8 | b) How many goals were scored in total? | | | | | | 2 | 4 | c) Work out the mean number of goals per match. | | | | | | 3 | 0 | d) State the modal number of goals per match. | | | | | | 4 | 2 | e) Work out the range of goals per match. | | | | | 5. Some children measured how long they could hold their breath. The grouped frequency table shows the results. | Time (t secs) | Frequency | Mid-interval value | | | | |---|---|---|---|---|---| | 10 < t ≤ 20 | 3 | 15 | a) Complete the mid-interval values. | | | | 20 < t ≤ 30 | 8 | | b) Use the mid-interval values to work out an estimate for the mean time. | | | | 30 < t ≤ 40 | 7 | | c) State the modal group. | | | | 40 < t ≤ 50 | 4 | | | | | 6. The grouped frequency table shows the distances some children walked for charity. | Distance (d km) | Frequency | Mid-interval value | | | | |---|---|---|---|---|---| | 0 < d ≤ 3 | 9 | | a) Complete the mid-interval values. | | | | 3 < d ≤ 5 | 7 | | b) Use the mid-interval values to work out an estimate for the mean time. | | | | 5 < d ≤ 10 | 2 | | c) State the modal group. | | |