# 1. (a) Define A. Mean B. Median C. Mode D. Standard deviation. (b) Find the mean and mode of the following set of data A. 2, 3, 5, 7, 9, 9, 10, 11, 14, 18 B. 3, 5, 8, 10, 12, 15, 16 . 2, 3, 4, 4, 5, 5,7,7,7,9

1. (a) Define

A. Mean

B. Median

C. Mode

D. Standard deviation.

(b) Find the mean and mode of the following set of data A. 2, 3, 5, 7, 9, 9, 10, 11, 14, 18

B. 3, 5, 8, 10, 12, 15, 16 . 2, 3, 4, 4, 5, 5,7,7,7,9

A. Mean: The sum of all values in a dataset divided by the number of values. It gives the average value.

B. Median: The middle value in a dataset when it is arranged in order. If there’s an even number of values, it’s the average of the middle two.

C. Mode: The value that appears most frequently in a dataset.

D. Standard deviation: A measure of the amount of variation or dispersion in a set of values. It indicates how spread out the values are from the mean.

(b) For the given sets of data:

A. Mean: (2 + 3 + 5 + 7 + 9 + 9 + 10 + 11 + 14 + 18) / 10 = 8.8

Mode: The mode is 9 since it appears twice, which is more frequent than other values.

B. Mean: (3 + 5 + 8 + 10 + 12 + 15 + 16 + 2 + 3 + 4 + 4 + 5 + 5 + 7 + 7 + 7 + 9) / 17 = 6.06 (approx)

Mode: The mode is 7 since it appears three times, which is more frequent than other values.