# SBST1303: Elementary Statistics Assignment, OUM, Malaysia Consider the average daily temperature of your residential area, and provide the data for 30 consecutive days

University |
Open University Malaysia (OUM) |

Subject |
SBST1303: Elementary Statistics |

**Question 1**

**(a)** Consider the average daily temperature of your residential area, and provide the data for 30 consecutive days. Your data must be obtained from a reliable source

**(b)** Based on the data in (a), you are required to prepare a table (for grouped data) as shown in (b)(ii). Answer the following questions.

**(i)** Determine the number of classes and the class width (class size).

**(ii)** Complete the following table based on

**(iii)** Based on the table in (b)(ii), plot the histogram. You may use EXCEL to generate the histogram.

**(iv)** Based on the table in (b)(ii), plot the ogive. You may use EXCEL to generate the ogive.

**(v)** Find the first and third quartiles from the ogive obtained in (b)(iv).

**(iv)** Determine whether the distribution of the data is right-skewed, symmetric, or left-skewed.

**Question 2**

Based on the data you obtained in Question 1(a), answer the following questions by using the formula to correct to one decimal place.

- Arrange the data in ascending order.
- Determine the mean.
- Find the mode
- Find the median.
- Evaluate the variance and state the standard deviation.
- Compute the first and second Pearson’s Coefficient of skewness.

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**Question 3**

The following survey provides the number of right and left-handed students in a school. Answer the following questions based on the table.

**(a)** Find the probability that a student is

- right-handed, given that the student is a girl.
- left-handed, given that the student is a boy.
- a girl, given that the student is right-handed.
- a boy, given that the student is left-handed.
- a boy, given that the student is a boy.
- a boy or a girl, given that the student is right or left-handed.

**(b)** From the result obtained in (a), what can you relate Pr(*X*|*Y*) and Pr(*Y*|*X*) in general, where *X *and *Y* represent two events?

**(c)** From the result obtained in (a), what is the value of Pr(*X*|*X*), where* X* represents an event?

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