Question

The weights of 5 girls are 70 pounds, 68 pounds, 85 pounds, 62 pounds, and 70 pounds. Nina finds measures of center and measures of variation of this data. Match the descriptions to the type of measure.
1. She found the difference of the least
and the greatest values.

2. She found the middle value after
arranging all the values from least
to greatest.

3. She added all the values and divided the
sum by 5.

4. She found the value that appeared the
most often.

5. She found the difference of the
upper quartile and the lower
quartile.

6. She found the mean and then
found the average deviation of
the weights from the mean.

Measure of center or measure of variation?

Answer 1

The Measure of center or measure of variation of the weights are; Range = 23 pounds; Median = 70 pounds; Mean = 71 pounds; Mode = 70 pounds

How to find the measures of Central Tendency?

We are given the weights as;

Weights of 5 girls = 70 pounds, 68 pounds, 85 pounds, 62 pounds, and 70 pounds

1) The difference of the least and the greatest values is;

Range = 85 - 62 = 23 pounds

2)  The middle value after arranging all the values from least to greatest is; 62, 68, 70, 70, 85

Median = 70

3) Adding all the values and dividing by 5 is;

Mean = (62 + 68 + 70 + 70 + 85)/5

Mean = 71 pounds

4) Value that appeared the most is;

Mode = 70

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