A researcher records the following scores on a working memory quiz for two samples. Which sample has a larger standard deviation? Sample A: 2, 3, 4, 5, 6, 7, and 8 Sample B: 4, 5, 6, 7, 8, 9, and 10

Standard deviations of both sets are equal

Step-by-step explanation:

We calculate the standard deviations for each sample set

For A

We calculate mean = (2+3+4+5+6+7+8)/7 = 35/5 = 7

We calculate deviations from the mean I.e each element in data set minus mean

x (x-mean)

2 -3

3. -2

4. -1

5. 0

6. 1

7 2

8. 3

If we look closely, we see that the sum of deviations is 0 , hence our standard deviation would be value zero too. This means there is no deviation about the mean

For the second set too, we calculate the mean = 4+5+6+7+8+9+10 = 49/7 = 7

We calculate the deviations too

X. X-mean

4. -3

5 -2

6 -1

7 0

8. 1

9 2

10. 3

Adding sum of deviations, we can see that the S.D is zero here too

Hence, the S.D of both data sets are equal

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x