Question: 1. From the soil of a pot, some earthworms are collected. Their lengths are recorded as below. Length (mm) Number of worms 95-109 2

1. From the soil of a pot, some earthworms are collected. Their

1. From the soil of a pot, some earthworms are collected. Their lengths are recorded as below. Length (mm) Number of worms 95-109 2 110-124 125-139 140-154 155-169 170-184 185-199 200-214 8 17 26 24 16 6 1 (a) What is the shape of the distribution of the data: bell-shaped, skewed left or skewed right? [1 mark] (b) Introduce the following column on the frequency distribution: Midpoint, Midpoint x Frequency, and Midpointx Frequency. [3 marks] (c) Using the data, which one are you able to find, the population variance or the sample variance? Why? Then, find the corresponding variance and standard deviation. (d) Estimate the median. [4 marks] [2 marks]

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