A tea-packaging plant uses a machine to place, on average,fivegrams of tea,per bag.Management suspects the machinery is not working correctly, as it isoverdue for a service.The machinery runs 5 days per week, withoneshift per day.To investigate, a random sample of tea bags is taken,andeach tea bag is weighed,withthe weight(grams)recorded. EXCEL was used to createthe following statistics:

Answer the following, in the context of this question.

a) Describe the histogram.

b)Statethe best measure of centre. Explain your reasoningand interpret your measurement.

c)Regarding customers, why should management be concerned with the central location of tea bag weight?

d) Statethe best measure of spread.Explain your reasoning and interpret your measurement.

e)The sampling method was not described. In your own words, describe a sampling method to gather a sample of tea bags.