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04Cumulative Frequency Tables and Graphs

# 04Cumulative Frequency Tables and Graphs - CUMULATIVE...

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C UMULATIVE F REQUENCY T ABLES AND G RAPHS A cumulative frequency distribution shows the accumulated frequencies of the table. Ex . A cumulative frequency distribution showing litres of fizzy cola syrup sold by 50 employees of Slimline Beverage Company in 1 week. Litres Sold Number of Employees <80 0 <90 2 <100 8 <110 18 <120 32 <130 41 <140 48 <150 50 How many employees sold between 110 and 120 litres? 32 – 18 = 14 employees. The graphic presentation of a cumulative frequency distribution is called a cumulative frequency graph/curve or an ogive (oh jive). To find the median, find the halfway point of the cumulative frequencies (25) and draw a straight line to the curve. Then draw a straight line down to the x-axis to find the median value. A quartile contains a quarter of the data values. The lower quartile ( Q1 ) is the value below which lie one-quarter of the data items. The upper quartile ( Q3 ) is the value above which lie one-quarter of the data items. The median divides the data series into two parts, an upper and lower part. The lower quartile is the midpoint of the lower part and the upper quartile is the midpoint of the upper part.

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