Zim Statistics

State the difference between a population and a sample.

• A population includes all members of a group, while a sample includes only a subset of the group.

• A sample includes all members of a group, while a population includes only a subset of the group.

• A population is always smaller than a sample.

• A sample is always larger than a population.

Describe the importance of randomness in sampling.

• Randomness ensures that the sample is biased.

• Randomness ensures that the sample represents the population accurately.

• Randomness ensures that the sample is larger than the population.

• Randomness ensures that the sample is smaller than the population.

Calculate the mass of each of the remaining 4 mangoes if the mean mass of 8 mangoes is 120 grams and the masses of four mangoes are 107, 112, 126, and 130 grams.

• 115 grams

• 120 grams

• 110 grams

• 125 grams

State the modal mass of the 8 mangoes.

• 107 grams

• 112 grams

• 126 grams

• 130 grams

State the median mass of the 8 mangoes.

• 118 grams

• 120 grams

• 115 grams

• 126 grams

Construct the probability distribution table for the random variable X, which takes values -4, d, and 4 with probabilities 1/4, m, and 1/4 respectively.

• X = {-4, d, 4}, P(X) = {1/4, m, 1/4}

• X = {-4, d, 4}, P(X) = {1/3, m, 1/3}

• X = {-4, d, 4}, P(X) = {1/2, m, 1/2}

• X = {-4, d, 4}, P(X) = {1/5, m, 1/5}

Find the value of m if the probabilities of the random variable X are 1/4, m, and 1/4.

• 1/2

• 1/4

• 1/3

• 1/5

Given that E(X) = 0, find the value of d for the random variable X with probabilities 1/4, m, and 1/4.

• d = 0

• d = 2

• d = -2

• d = 4

What name is given to the form of presentation shown in the diagram?

• Bar chart

• Pictogram

• Line graph

• Pie chart

If one stick figure represents 5 pupils, how many pupils are represented by 3 stick figures?

• 10 pupils

• 15 pupils

• 20 pupils

• 25 pupils