Browse Histograms

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Histograms & frequency density

13 questions

LessonNot started
A histogram is drawn to represent a set of values of tt. It has exactly three bars.
ClassFrequency density
0<t≤80 < t \le 82.5
8<t≤208 < t \le 204.5
20<t≤k20 < t \le k1.2
The bar for the class 20<t≤k20 < t \le k represents 30 values.

(a) Work out the value of kk.

(b) Work out the total number of values represented by the histogram.
●●●●●Level 56 marksStart
A histogram showing the masses, mm grams, of some parcels is drawn on squared paper. There is no scale on the frequency density axis.

The bar for the class 0<m≤200 < m \le 20 is 44 cm wide and 33 cm high, and it represents 24 parcels.

(a) The bar for the class 20<m≤3020 < m \le 30 is 22 cm wide and 4.54.5 cm high. Work out the number of parcels it represents.

(b) The class 30<m≤4530 < m \le 45 contains 45 parcels. Its bar is 33 cm wide. Work out the height of that bar.
●●●●●Level 56 marksStart

Interpreting histograms

12 questions

LessonNot started
A bank recorded the waiting times, in minutes, of its customers at two branches on the same morning.

Branch A (8080 customers)1020304050600.511.522.5Waiting time (minutes)Frequency densityBranch B (100100 customers)1020304050600.511.522.5Waiting time (minutes)Frequency density(a) Estimate the number of customers at branch A who waited less than 2020 minutes.

(b) Estimate the number of customers at branch B who waited less than 2020 minutes.

(c) Use the histograms to compare the waiting times at the two branches.
●●●●●Level 56 marksStart
10203040506070801234Amount spent (£)Frequency densityThe histogram gives information about the amounts of money spent by the shoppers in a shop one morning.

(a) Work out an estimate for the median amount spent.

(b) Rani says, "More than a quarter of these shoppers spent at least £4040."

Is Rani correct? You must show your working.
●●●●●Level 56 marksStart