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Chapter 2: Q. 2.30 (page 106)

Maris conducted a study on the effect that playing video games has on memory recall. As part of her study, she compiled the following data:

What is the best estimate for the mean number of hours spent playing video games?

Short Answer

Expert verified

The mean is10.78.

Step by step solution

01

Given

We are given the following data:

02

Explanation

The mean is one of the measures of central tendency in statistics, and it is defined as the total number of observations divided by the total number of observations.

Formula:

In case of grouped data, the formula for calculating the mean is:

Mean=鈭�fx鈭�f

Where:

f=frequencyx=midpoint

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Most popular questions from this chapter

Five credit scores are 680,680,700,720,720.The data set is bimodal because the scores 680and 720each occur twice. Consider the annual earnings of workers at a factory. The mode is \(25,000and occurs 150times out of 301.The median is \)50,000and the mean is $47,500.What would be the best measure of the 鈥渃enter鈥�?

A survey was conducted of 130 purchasers of new BMW 3 series cars, 130 purchasers of new BMW 5 series cars, and 130 purchasers of new BMW 7 series cars. In it, people were asked the age they were when they purchased their car. The following box plots display the results.

a. In complete sentences, describe what the shape of each box plot implies about the distribution of the data collected for that car series.

b. Which group is most likely to have an outlier? Explain how you determined that.

c. Compare the three box plots. What do they imply about the age of purchasing a BMW from the series when compared to each other?

d. Look at the BMW 5 series. Which quarter has the smallest spread of data? What is the spread?

e. Look at the BMW 5 series. Which quarter has the largest spread of data? What is the spread?

f. Look at the BMW 5 series. Estimate the interquartile range (IQR).

g. Look at the BMW 5 series. Are there more data in the interval 31 to 38 or in the interval 45 to 55? How do you know this?

h. Look at the BMW 5 series. Which interval has the fewest data in it? How do you know this?

i. 31鈥�35

ii. 38鈥�41

iii. 41鈥�64

The following data are the number of pages in 40 books on a shelf. Construct a box plot using a graphing

calculator, and state the interquartile range.

136;140;178;190;205;215;217;218;232;234;240;255;270;275;290;301;303;315;317;318;326;333;343;

349;360;369;377;388;391;392;398;400;402;405;408;422;429;450;475;512

Describe the relationship between the mode and the median of this distribution.

For the Park City basketball team, scores for the last 30 games were as follows (smallest to largest):

32;32;33;34;38;40;42;42;43;44;46;47;47;48;48;48;49;50;50;51;52;52;52;53;54;56;57;57;60;61Construct a stem plot for the data.
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