1. (8 marks)A random sample of 20 days showed the following number of cardiograms

done each day at an outpatient testing center:

45,25,39,5,42,48,35,12,40,16,36,27,37,30,18,22,32,54,44,29

**Construct a frequency distribution for these data using a lower limit for the

first class of 5 and a class width of 10. Indicate the class limits, boundaries,

midpoints, frequencies and cumulative frequencies.

*Note:

As this data set does not containfractional values, do not use theless than

method.

Question 2. The amount a mother spends on prenatal care can have a long-term impact in terms of reducing complications resulting from a babys low birth weight. A random sample of 50 new mothers was asked to estimate how much they spent on prenatal care. The results are presented in the frequency distribution below. Amount Spent on --------------------Mothers(Number) Prenatal Care ($) 099 ------------------------------------------2 100199-------------------------------------4 200299------------------------------------8 300399------------------------------------20 400499----------------------------------16 Total----------------------------------------50 a. (3 marks) Calculatethe mean amount spent on prenatalcare. b. (5 marks) Use the short-cut formula to calculate the standard deviation of amounts spent on prenatal care. c. (4 marks) Construct a relative frequency polygon of amounts spent on prenatal care. Use ruler and the graph below to construct your answer. **Note:In addition to labeling the axes correctly, indicate the relative frequency at each point on the polygon.

d. (4 marks)-- Construct a percentage ogive of amount spent on prenatal care. Use

ruler and the graph below to construct your answer.

**Note:

In addition to labeling the axes correctly, indicate the cumulativepercentage at

each point on the ogive

e. (2 marks) Does the frequency polygon suggest skewness in the data? If so, in which direction? f. (1 mark) What percentage of mothers spent less than $200 on prenatal care?