Averages from Frequency Tables
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Either paper 2 marks
Isla records the number of visitors entering a museum each hour for 24 hours. Here are the results.
39, 46, 5, 30, 32, 7, 23, 17, 48, 57, 19, 14, 18, 46, 35, 7, 38, 6, 42, 9, 46, 41, 45, 5
Isla makes this tally and frequency chart to put the data into groups.
Number of visitors Tally Frequency 0 to 10 10 to 20 20 to 30 30 to 40 40 to 50 Make two criticisms of Isla's tally and frequency chart. You do not need to complete the chart.
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Either paper 3 marks
The table shows information about the weights of the sacks of potatoes on a trailer.
Weight Number of sacks 20 kg 3 30 kg 2 40 kg 5 50 kg 4 60 kg 4 70 kg 2 Show that the total weight of the sacks of potatoes on the trailer is less than 950 kg.
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Either paper 3 marks
The table shows the number of goals scored by a football team in each of 25 matches.
Number of goals Frequency 0 2 1 7 2 6 3 2 4 8 Total 25 Work out the mean number of goals.
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Either paper 4 marks
The table shows the number of cars owned by each household on a street.
Number of cars Frequency 0 3 1 5 2 5 3 2 4 8 (a)How many households are there altogether?
(b)Write down the modal number of cars.
(c)Work out the median number of cars.
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Either paper 3 marks
The grouped frequency table shows how long each person waited at a clinic.
Time in minutes (\(t\)) Frequency \(0 < t \leq 10\) 5 \(10 < t \leq 20\) 4 \(20 < t \leq 30\) 4 \(30 < t \leq 40\) 11 \(40 < t \leq 50\) 3 (a)State the modal class.
(b)Write down the class that contains the median.
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Either paper 5 marks
16 matches were played. Here are the numbers of goals scored in them.
\(2,\ 2,\ 0,\ 0,\ 2,\ 0,\ 3,\ 1,\ 0,\ 0,\ 0,\ 0,\ 0,\ 3,\ 0,\ 1\)
(a)Draw a frequency table for this data, using the values 0, 1, 2 and 3.
(b)Write down the mode.
(c)Calculate the mean number of goals. Give your answer correct to 1 decimal place.
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Either paper 5 marks
Each student in a year group was asked how many times they visited a gym last week. The bar chart shows the results.
(a)How many students made more than 1 visit to the gym?
(b)Work out the mean number of visits to the gym. Give your answer as a decimal.
(c)One of the students is chosen at random.
Work out the probability that the student made fewer than 4 visits to the gym. Give your answer as a fraction in its simplest form.
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Either paper 3 marks
The bar chart shows the number of books borrowed from a library by each of 40 members last month.
Work out the mean number of books. Give your answer as a decimal.
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Either paper 3 marks
The table shows the height of each of 50 sunflower seedlings in a greenhouse.
Height, \(h\) (cm) Frequency Midpoint \(4.5 \leq h < 5.0\) 18 \(5.0 \leq h < 5.5\) 17 \(5.5 \leq h < 6.0\) 15 Total 50 Work out an estimate of the mean height of a seedling.
Give your answer as a decimal.
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Either paper 4 marks
The table shows the distance cycled by each of 25 members of a cycling club last week.
Distance (\(d\) km) Frequency \(0 < d \leq 10\) 6 \(10 < d \leq 20\) 7 \(20 < d \leq 30\) 4 \(30 < d \leq 40\) 8 Total 25 Work out an estimate for the mean.
- Either order. (1) There is no group for values above 50, but 57 is in the data. (2) the groups overlap: 30 could go in either "20 to 30" or "30 to 40".
- Total weight \(900\) kg, which is less than \(950\) kg
- \(2.28\)
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(a) \(23\)
(b) \(4\)
(c) \(2\) -
(a) \(30 < t \leq 40\)
(b) \(30 < t \leq 40\) -
(a) frequencies \(9,\ 2,\ 3,\ 2\) for 0, 1, 2, 3
(b) \(0\)
(c) \(0.9\) -
(a) \(29\)
(b) \(2.725\)
(c) \(\frac{5}{8}\) - \(2.05\)
- \(5.22\ \text{cm}\)
- \(20.6\ \text{km}\)
Takes a couple of seconds the first time a sheet is made.