Statistics and Data Interpretation Worksheet

Front

Did Chawrdi meet her mom's guideline of playing video games for a mean of no more than 3.5 hours per day over a six-day period?

Back

Yes, because the mean number of hours played is (2+1+4+5+0+7)/6 ≈ 3.17.

Front

Which data set has the smallest standard deviation and why? Options: {-2, -1, 0, 1, 2}, {99.8, 99.9, 100, 100.1, 100.2}, {9, 9.5, 10, 10.5, 11}, {80, 93, 100, 110, 118}

Back

{99.8, 99.9, 100, 100.1, 100.2} because the range of values is clustered very close to the mean.

Front

The ages of 31 students in a college English class are displayed in the bar graph. Select the bar that contains the median age of students in the class.

Back

18

Front

The birthweights of newborn babies in Danaville are approximately normally distributed with a mean of 3.4 kg and a standard deviation of 0.6 kg. Which histogram would likely represent a random sample of these birthweights?

Back

Histogram C

Front

The birthweights of newborn babies in Danaville are approximately normally distributed with a mean of 3.4 kg and a standard deviation of 0.6 kg. Babies born with birthweights between 2.2 kg and 4.6 kg are considered to have a healthy birthweight. Approximately what percent of babies born in Danaville have a healthy birthweight?

Back

95%

Front

Which team should be awarded the prize for having the least total call times based on the distribution graphs?

Back

Team A because their distribution of total call times is skewed to the right, which shows the majority of total call times are less than the mean.

Front

Which boxplot correctly represents the fish lengths data collected by the scientist from a river?

Back

B. [Boxplot image]

Front

A company sells containers of whole-grain oats to retailers. The distribution of the mass of oats in the containers is approximately normal with a mean of 454 grams and a standard deviation of 7 grams. The company will not distribute any containers of oats with a mass greater or less than 2 standard deviations from the mean. If 100 containers of oats are selected at random at the company, approximately how many containers will likely NOT be distributed to retailers?

Back

1

Front

Two baseball teams have a push-up contest. There are 24 players on Team A and 23 players on Team B. Both teams completed a total of 778 push-ups. The team captains want to estimate the mean number of push-ups based on the median number of push-ups for each group. Which statement is true?

Back

Both team captains can estimate the mean number of push-ups using the median because both distributions are approximately symmetric.

Front

Two baseball teams have a push-up contest with 24 players on Team A and 23 players on Team B. Both teams completed a total of 778 push-ups. Which statement about the variability and standard deviation of the two distributions is true?

Back

Team B's data has a higher variability than Team A's data, so Team B's data is expected to have a greater standard deviation than Team A's data.