Question

ush financial is a small bank that is examining its customers use of its website. the numbers of online transactions made per day during the past follows. 100, 76, 68, 68, 68, 84, 82, 58 send data to calculator (a) what is the median of this data set? if your answer is not an integer, round your answer to one decimal place. 76 (b) what is the mean of this data set? if your answer is not an integer, round your answer to one decimal place. 76.6 (c) how many modes does the data set have, and what are their values? indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable. zero modes one mode: 68 two modes: and

Explanation:

Step1: Arrange data in ascending order

$58,68,68,68,76,82,84,100$

Step2: Calculate the median

Since there are $n = 8$ data - points (an even number of data - points), the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered values. $\frac{n}{2}=4$ and $\frac{n}{2}+1 = 5$. The 4th value is $68$ and the 5th value is $76$. Median=$\frac{68 + 76}{2}=\frac{144}{2}=72$

Step3: Calculate the mean

Mean=$\frac{100 + 76+68+68+68+84+82+58}{8}=\frac{604}{8}=75.5$

Step4: Determine the mode

The mode is the value that appears most frequently in the data - set. The number $68$ appears $3$ times, more frequently than any other number, so there is one mode: $68$

Answer:

(a) $72$
(b) $75.5$
(c) one mode: $68$