Question

1. Find the values of the following definite integrals:
?) ∫3−2(2x2 – 2) dx [5 Marks]
?) ∫9−1 4x1/5 dx [5 Marks]
? ∫20 (2x3 – 4x2 + 2) dx [5 Marks]

Three data sets were collected by students during an experiment, the results of which are shown in the table 1 below:
Table 1. Student Data from an experiment.
Student 1
22.55 mL, 22.50 mL, 22.65 mL, 23.10 mL, 23.05 mL
Student 2
24.25 mL, 24.30 mL, 24.55 mL, 24.55, mL, 24.65 mL
Student 3
22.45 mL, 22.55 mL, 22.25 mL, 25.55 mL, 23.64 mL
a) Determine the accuracy and precision of each data set.

Calculate the Mean and Standard Deviation of Each data set.

A Community Health Nurse determined the body mass index (BMI) of twenty-five people in the Okpoi Gonno area and obtained the following results:
18.5, 18.9, 18.5, 19.9, 20.5, 22.4, 23.5, 18.5, 18.9, 18.5, 18.5, 19.9, 20.1
19.9, 22.6, 23.1, 25.5, 25.0, 25.0, 29.9, 29.0, 29.9, 19.9, 29.0, 18.5
Find the:
a) i) Mean
ii) Mode
iii) Median and
iv) Standard deviation. [10 Marks]
b) Given the information below, state the number of those who are underweight, healthy, overweight, and obese. [ 5 Marks] Below 18.5 – underweight range, between 18.5 and 24.9 – the healthy weight range, between 25 and 29.9 – overweight range, between 30 and 39.9 – the obese range.
4. If f(x) = (x + 1)1/2, find the area of the region under the graph of f (x) from 0 to 3.
[5 Marks]
5. ????????∫30(v4 – 2v3) dv.

Answer 1