Question

In: Statistics and Probability

In order to restructure its entertainment activities, Bear Valley University wanted an estimate of the amount...

In order to restructure its entertainment activities, Bear Valley University wanted an estimate of the amount of US dollars spent by all its undergraduate students on entertainment expenses.

To do so, it took a sample of 25 undergraduates. Students in the sample reported spending the following US dollar amounts for entertainment expenses last year:

741 754 771 773 680 682 728 775 708 700 714 731 756
699 772 683 778 739 769 713 746 758 710 771 696

(Round your answers to 2 decimal places.)

Find the point estimate for the population mean, the point estimate for the population median, and the point estimate for the population mode.

Solutions

Expert Solution

the given data is

741   754   771   773   680   682   728   775   708   700   714   731   756
699   772   683   778   739   769   713   746   758   710   771   696  
now arrange data in ascending order

680,682,683,696,699,700,708,710,713,714,728,731,739,741,746,754,756,758,769,771,771,772,773,775,778

now calculate mean, median and mode for the givn data,

Mean is the average of all numbes.

Mean = 18347/ 25

Mean = 733.88

Median is the middle number in the sorted data in ascending order.

here 739 is the middle number hence,

Median = 739

Mode is the number which occure most frequent in the given data.

here, 771 occurs two times hence,

Mode = 771


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