STATISTICS UNIT 3.1 Homework Question

For a large sporting event the broadcasters sold 61 ad slots for a total revenue or $157 million. What was the mean price per as slot? The mean price per ad slot was $______ million. Round to one decimal place as needed

2.6

The median for the given set of six ordered data values is 28.5. 7 12 25 _____ 41 48 What is the missing value?

32

What does it mean if a statistic is​ resistant?

Extreme values​ (very large or​ small) relative to the data do not affect its value substantially.

symmetric

Is this Histogram skewed left, right or symmetric?

Find the population mean or sample mean as indicated. Sample: 15, 11, 8, 7, 19

The sample mean is: 12 15+11+7+8+19= 60 60/(number of values which is 5) 60/5 = 12

True or False: a data set will always have exactly one mode.

False

x=m because the histogram is symmetric

For the histogram attached determine whether the mean(x) is greater​ than, less​ than, or approximately equal to the median(M). Justify your answer.

The following data represent the weights​ (in grams) of a simple random sample of a candy. 0.90 0.86 0.84 0.93 0.90 0.87 0.86 0.87 0.80 0.83 Determine the shape of the distribution of weights of the candies by drawing a frequency histogram and computing the mean and the median. Which measure of central tendency best describes the weight of the​ candy?

Graph c.

The following data represent the weights​ (in grams) of a simple random sample of a candy. 0.90 0.86 0.84 0.93 0.90 0.87 0.86 0.87 0.80 0.83 What is the mean and median? Which measure of central tendency best describes the weight of the​ candy?

Mean 0.866 median 0.865 Mean

The distribution of salaries of professional basketball players is skewed to the right. Which measure of central tendency would be the best measure to determine the location of the center of the​ distribution?

Median

An exit poll was conducted in which a random sample of 20 voters revealed whom they voted for in the election. The results are listed in the table below. Ohm Smith Ohm Smith Ohm Ohm Chang Ohm Johnson Chang Ohm Johnson Chang Ohm Ohm Johnson Chang Ohm Chang Ohm Determine the mode candidate.

Ohm

n insurance company crashed four cars of the same model at 5 miles per hour. The costs of repair for each of the four crashes were ​$407, $428, $459, and ​$222. Compute the​ mean, median, and mode cost of repair. Compute the mean cost of repair. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

The mean cost of repait is $379 The Median cost of repair is $ 417.50 The mode does not exist

A concrete mix is designed to withstand 3000 pounds per square inch​ (psi) of pressure. The following data represent the strength of nine randomly selected casts​ (in psi). 3970, 4100, 3300, 3000, 2950, 3840, 4100, 4040, 3370 Compute the​ mean, median and mode strength of the concrete​ (in psi).

The mean is 3630 the median is 3840 The mode is 4100

Median

This histogram represents the connection time in seconds to an internet provider. Determine which measure of central tendency better describes the​ "center" of the distribution. What measure of central tendency best describes the​ "center" of the​ distribution?

A histogram of a set of data indicates that the distribution of the data is skewed right. Which measure of central tendency will likely be​ larger, the mean or the​ median? Why?

When data are either skewed left or skewed​ right, there are extreme values in the​ tail, which tend to pull the mean in the direction of the tail. If the distribution of the data is skewed​ right, there are large observations in the right tail. These observations tend to increase the value of the​ mean, while having little effect on the median.