Question

Americans tend to dine out multiple times per week. The number of times a sample of 20 famiiles dined out last week provides the following data. (a) Compute the mean and median. mean median (b) Compute the first and third quartiles. first quartile third quartile (c) Compute the range and interquartule range. range interquartile range (d) Compute the variance and standard deviation. (Round your answers to two decimal places.) voriance standard deviation (e) The stiewness measure for these data is 0.23. Comment on the shape of this distribution. The skewness measure of 0.23 indicates the data are somewh Is it the shape you would expect? Why or why not? - most people dine out a relatively few times per Ine out very frequenty, therefore we would expect the data to be (I) Compute the lower and upper limits lower litilt upper limit Compute the mean and median. mean median b) Compute the first and thied quartiles. first quartile third quartile (c) Compute the range and interquartile range. range interquartile range (d) Compute the variance and standard deviation. (Round your answers to two decimal places.) variance standard deviation (e) The skewness measure for these data is 0.23. Comment on the shape of this distribution. The skewness measure of 0.23 indicates the data are somewhat Is it the shape vou would expect? Why or why not? , most people dine out a relatively few times per week and a few families dine uut very frequently, therefore we would expect the data to b (I) Compute the lower and upper limits lower lima upper limit. Do the data contain outiers? volves in the dats are less than the lower limit or oreater than the veper limit, so there are

Answer 1

To compute the mean, add up all the values in the data set and divide by the number of values. To compute the median, first arrange the values in ascending order and find the middle value. To compute Q1, find the median of the lower half of the data. To compute Q3, find the median of the upper half of the data.

Step-by-step explanation:

To compute the mean, add up all the values in the data set and divide by the number of values. In this case, we have 20 families and their respective number of times dining out. Adding up the values: 38.5 + 39.3 + 40.7 + 41 + ... + 86, we get a sum of all the values. Then, divide this sum by 20 to get the mean.

To compute the median, first arrange the values in ascending order. Then, find the middle value. If there are an odd number of values, the middle value is the median. If there are an even number of values, find the average of the two middle values. In this case, we have 20 families, so the median is the average of the 10th and 11th values when arranged in ascending order.

To compute the lower quartile (Q1), find the median of the lower half of the data set. In this case, we have 20 families, so Q1 is the median of the first 10 values when arranged in ascending order.

To compute the upper quartile (Q3), find the median of the upper half of the data set. In this case, we have 20 families, so Q3 is the median of the last 10 values when arranged in ascending order.