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Sunshine raisin company sells snack-sized boxes of raisins. twenty boxes were randomly selected and the raisins were counted. the results are shown in the list below. 48 49 48 50 48 49 50 51 45 47 46 48 45 49 48 47 51 47 48 46 what is the mean, median, and mode of the sunshine raisin data?

A47, 48, 49
C49, 48, 47
B48, 49, 48
D48, 48, 48

Verified Answer :

Greenleafable

The correct answer is D. 48, 48, 48.

Mean is the sum of the data values divided by the number of data values. (you just add these 20 numbers and divide by 20)
Median is the middle number in an ordered set of data (these are the numbers: 45, 46, 47, 48, 49, 50, 51 - number 48 is in the middle)
Mode is the data item that appears more often than any other data item (48 appears 6 times, which is the most)

Answer:

The correct option is d.

Step-by-step explanation:

The given data set is

48, 49, 48, 50, 48, 49, 50, 51, 45, 47, 46, 48, 45, 49, 48, 47, 51, 47, 48, 46

\(Mean=\frac{\sum x}{n}\)

\(Mean=\frac{960}{20}\)

\(Mean=48\)

The mean of the data is 48.

Arrange the data in ascending order.

45, 45, 46, 46, 47, 47, 47, 48, 48, 48, 48, 48, 48, 49, 49, 49, 50, 50, 51, 51

Total number of observations is 20.

\(Median=\frac{(\frac{n}{2})\text{th term}+(\frac{n}{2}+1)\text{th term}}{2}\)

\(Median=\frac{(10)\text{th term}+(11)\text{th term}}{2}\)

\(Median=\frac{48+48}{2}\)

\(Median=48\)

The median of the data is 48.

A number with height frequency is called mode.

Since 48 occurs 6 times, therefore the mode of the data is 48.

Thus the correct option is d.

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