Histograms Objectives: A Grade Interpret a histogram with unequal class intervals Prior knowledge: Draw a Histogram diagram.

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Presentation transcript:

Histograms Objectives: A Grade Interpret a histogram with unequal class intervals Prior knowledge: Draw a Histogram diagram

Histograms Finding Frequencies Frequency density Length (cm) How many lengths are in the class interval 40cm to 60cm? x 1 = 20 How many lengths are in the class interval 30cm to 40cm? 10 x 2 = What is the total frequency?Repeat for the other bars. 10 x 1.5 = x 1 = = 75 75

Histograms From this histogram you could be asked further questions: Frequency density Age (years) Estimate how many people between the ages of 35 and 55 surf. Identify the area of the bars to which this applies Remember: frequency is the area Find the area separately of each bar × 1.2 = 6 15 × 1 = = 5 3 Estimate of the frequency = = 11

Histograms Estimate the median from this histogram Frequency density height (cm) Histogram of children’s heights Find the total frequency, then find which class interval it is in, draw a line in the bar where the median is represented to find where it is on the x axis 15 × 1 = 15 5 × 3.6 = 18 5 × 3.4 = 17 5 × 4 = × 2.5 = × 2 = × 0.5 = 5 Frequency = 120 median position = 60 Where is this? The median is approximately cm