The correct option is A 34
The given data set is
26, 16, 14, 18, 24, 20, x
We can calculate the value of x by two methods: we can assume x to be the maximum value or we can assume x to be the minimum value.
Let us assume, x to be the minimum value of data.
Maximum value = 26
⟹ 20 = 26 - x
⟹ x = 26 - 20 = 6
But, 6 is not available in the options.
Let us assume, x to be the maximum value in the data.
Range = Maximum value - Minimum value
Minimum value = 14
⟹ 20 = x - 14
⟹ x = 20 + 14 = 34
Hence, the value of x is 34.