257,209 views
10 votes
10 votes
The speed of 10 cars on a certain highway stretch was recorded below. If the mean of the data is 63.2 with a standard deviation of 6.2, circle all data values with a z-score less than 0.5.

{49, 58, 60, 63, 64, 64, 65, 67, 70, 72}

User Winter Dragoness
by
2.7k points

1 Answer

18 votes
18 votes

Answer:

Data values: 63, 64, 64, 65

Explanation:


Z=(x-\mu)/(T)\ or\ Z=(\mu-x)/(T)

a.


0.5 = (x-63.2)/(6.2)

x - 63.2 = 0.5 × 6.2

x = 66.3

b.


0.5 = (63.2-x)/(6.2)

63.2 - x = 0.5 × 6.2

x = 60.1

values that falls within 60.1 < x < 66.3

= 63, 64, 64, 65

User Kevin Reilly
by
3.3k points