Question

1. 5,2,7,7,5,2,5,2,7,25

mean
median
mode
range
big take away: the mean, median and mode of a data set should be
than the biggest number and
than the smallest number in a data set.
big take away: if the range is small the data set is
. if the range is
big the data set has more
.
practice

1. the quiz scores of eight students are 12 points, 18 points, 20 points, 15 points, 18

points, 15 points, 16 points, and 14 points. find the mean quiz score of the eight
students.

Explanation:

Step1: Calculate the mean of 5, 2, 7, 7, 5, 2, 5, 2, 7, 25

Sum of numbers: $5 + 2+7 + 7+5 + 2+5 + 2+7 + 25=69$. There are 10 numbers. Mean = $\frac{69}{10}=6.9$.

Step2: Calculate the median of 5, 2, 7, 7, 5, 2, 5, 2, 7, 25

Arrange in ascending - order: 2, 2, 2, 5, 5, 5, 7, 7, 7, 25. There are 10 numbers. Median is the average of the 5th and 6th numbers. Median=$\frac{5 + 5}{2}=5$.

Step3: Calculate the mode of 5, 2, 7, 7, 5, 2, 5, 2, 7, 25

The number 2 appears 3 times, 5 appears 3 times and 7 appears 3 times. Modes are 2, 5 and 7.

Step4: Calculate the range of 5, 2, 7, 7, 5, 2, 5, 2, 7, 25

Range = Largest number - Smallest number. Range=$25 - 2 = 23$.

Step5: Calculate the mean of 12, 18, 20, 15, 18, 15, 16, 14

Sum of numbers: $12+18 + 20+15+18+15+16+14 = 128$. There are 8 numbers. Mean=$\frac{128}{8}=16$.

Answer:

Mean: 6.9
Median: 5
Mode: 2, 5, 7
Range: 23
Mean of quiz - scores: 16
Big take away: The mean, median and mode of a data set should be less than the biggest number and greater than the smallest number in a data set.
Big take away: If the range is small the data set is more consistent. If the range is big the data set has more variability.