Measures of Central Tendency & Weighted Mean

If the mean of your data is 65 and the median is 52, the distribution is...

• left-skewed

• right-skewed

• symmetrical

If the mean of your data is 97 and the median is 97, the distribution is...

• left-skewed

• right-skewed

• symmetrical

How do we find the median when there are exactly TWO numbers in the middle of the data set?

• We add up all of the numbers and divide by the number of numbers.

• Subtract the lower extreme from the upper extreme.

• Add the two numbers together and divide the sum by 2.

• Use the formula I = P x r x t

A student counted how many cars passed his house in one-minute intervals for 30 minutes. Is this type of data discrete or continuous?

• Discrete

• Continuous

If you score 76, 85, 97, and 83 on your math tests, what would your median score be?

The mean weight of eleven players in a sports team is 80.3 kg. A new player joins the team and the mean goes up to 81.2 kg. What is the weight of the new player?

Answer explanation

80.3(11) = 883.3

(883.3 + x)/12 = 81.2

solve for x

The mode score on the Unit 1 Test was 94%

Which of these interpretations must be correct?

• 99 was the highest score on the test.
• More students received a 94 than any other score
• No student scored below a 50
• A score of 91 was slightly below average.

Jasmine has spent $50, $72, $22 and $15 each of the last 4 weeks. If she wants to make sure she spends an average of $40 a week or less, what is the most Jasmine can spend next week?

• $1

• $21

• $31

• $41

The measure of central tendency that is found by adding the lowest and highest data values and dividing the sum by 2 is called the...

• midrange

• mode

• median

• mean

Numbers representing what is average or typical about a data set are called measures of central tendency.

• True

• False