Question

Which of the following statements is true for the following observations: 9, 8, 7, 9, 6, 11, and 13?

Answer 1

Answer:

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Answer 2

The complete question is

"Which of the following statements is true for the following observations: 9, 8, 7, 9, 6, 11, and 13?

a. The mean, median, and mode are all equal.

b. Only the mean and median are equal.

c. Only the mean and mode are equal

d. Only the median and are equal."

Answer:

Option (a). The mean, median, and mode are all equal.

Step-by-step explanation:

Find mean:

A mean is the simple mathematical average of a set of two or more numbers.

$Mean=\frac{9+8+7+9+6+11+13}{7} \\=\frac{63}{7}\\ =9$

Therefore, Mean = 9.

Find median:

Median is the middle most value of a given series.

Therefore, median = 9.

Find mode:

Mode is defined as the value that is repeatedly occurring in a given set.

Since 9 is repeated two times.

Therefore, Mode = 9

Hence, Mean = Median = Mode = 9.

Thus, option (a). The mean, median, and mode are all equal.