TMUA Data Analysis & Statistical Interpretation

Question 1

What is the mean of the numbers: 4, 8, 6, 10?

Accepted Answer

7

Answer

The mean (or average) of a set of numbers is found by summing all the numbers and then dividing by the count of numbers. For 4, 8, 6, 10, the sum is 28. Dividing by 4 (the count), the mean is 28 / 4 = 7.

Question 2

Which value represents the median of the data set: 3, 5, 7, 9, 11?

Accepted Answer

7

Answer

The median is the middle value in a data set when the numbers are arranged in order. In the ordered set 3, 5, 7, 9, 11, there are five numbers, and 7 is the exact middle value with two numbers before and two numbers after it.

Question 3

What is the mode of the following data: 2, 3, 3, 5, 7?

Accepted Answer

3

Answer

The mode of a data set is the value that appears most frequently. In the given data set (2, 3, 3, 5, 7), the number 3 appears twice, which is more often than any other number. Therefore, 3 is the mode.

Question 4

Which graph type is best for showing parts of a whole?

Accepted Answer

Pie chart

Answer

A pie chart is ideal for showing parts of a whole because it represents categories as slices of a circle, where each slice's size is proportional to its percentage of the total. This visual representation clearly illustrates how each component contributes to the overall sum.

Question 5

What does a high standard deviation indicate?

Accepted Answer

Data points vary greatly

Answer

A high standard deviation indicates that the individual data points in a set are widely spread out from the mean. This means there is a large amount of variability or dispersion within the data. Conversely, a low standard deviation suggests data points are clustered closely around the mean.

(TMUA) Test of Mathematics for University Admission Practice Test

(TMUA) Test of Mathematics for University Admission Practice Test

TMUA Data Analysis & Statistical Interpretation