Good eveningHow much could it cost?Had some problems with these numbers:1)A natu

Good eveningHow much could it cost?Had some problems with these numbers:1)A naturalist studying frogs takes a sample of body lengths and records them in millimeters to the nearest 5mm140 135 155 145 160 150 150 155 135 140a) Substract a shift value a to make all the data values as small as possible but keep positiveb) Divide by scale factor of b to bring all data to single figuresc) Writing xi for the original data and yi for the modified data write an equation connecting xiyia and b.d) Find the mean y and the st.dev sy.e) Use equation from c to find mean x.Write down the standard deviation of the original data (know that st. dev. is affected by scaling not by shifting)2)A teacher records marks of 20 students for test:63 62 60 67 49 65 70 58 57 5254 55 56 64 61 62 59 57 56 58a)Find the x mean and st.dev s of the marks.b)How many marks are within the range (meanx-smeanx+s) express this as percentage of all marks.Find the percentage of marks which are within the range (meanx-2smeanx+2s)3) The teacher in question 2 sets the same test for his class;53 58 64 69 57 74 61 45 62 5154 53 60 58 67 61 59 58 59 63Combine 2 sets of marks into a grouped frequency table with a class width of 5. Calculate the cumulative frequencies. Plot the cumulative frequency graph and use it to find the median quartiles and interquartile range.