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Access custom-built, exam-style problems for descriptive statistics. Each problem has a full solution and mark-scheme, as well as AI grading and support.
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The electricity consumption, in kWh, of 37 Swiss households is recorded for the month of December and shown in the following grouped frequency table.
State the value of k.
Write down the modal class for these data.
Identify the class containing the median.
On the axes below, draw a histogram for these data.
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A zoologist records the number of pups in the litters of 17 hyenas. The data is summarized in the following frequency table.
It is given that the mean number of pups is 3.
Find the value of p and the value of q.
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An aquarium is home to three kinds of parrotfish, blue, rainbow and princess.
A group of 60 blue parrotfish are randomly selected, and their length is measured to the nearest centimeter. The results are represented in the following cumulative frequency diagram.
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Using the diagram find
the median length,
the interquartile range.
20% of these blue parrotfish are longer than L.
Find the value of l.
The recorded length of these same blue parrotfish is represented in the following table.
Find the value of a and the value of b.
There are a total of 270 parrotfish in the aquarium. A parrotfish is said to be juvenile if its length does not exceed 5cm.
Estimate the total number of juvenile parrotfish in the aquarium.
Explain why the result in (d) is unlikely to be a good estimate, and suggest a more appropriate sampling technique.
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